ORMC Meetings Archive • Fall 2007–Spring 2024

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For the current schedule, visit the Circle Calendar

2007–2008 2008–2009 2009–2010 2010–2011 2011–2012 2012–2013 2013–2014 2014–2015 2015–2016 2016–2017 2017–2018 2018–2019 2019–2020 2020–2021 2021–2022 2022–2023 2023–2024
 Spring 2023 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 A TrainingAMC 10/12 B TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2B 6/4/2023 Advanced 1A [former Advanced 1A]: Final class of the year Handouts: ProblemsAdvanced 1B [former Advanced 1B]: Final class of the year Advanced 2 [former Advanced 2A and 2B]: Game Handouts: Rules | TeX archive | Solutions | Game dominoesAdvanced 3 [former Advanced 3]: Advanced 3: 06/04/2023 -- Advanced 3: Spring 2023:Applications of Projective Geometry V AMC 10/12 A Training: End-of-year Contest ARML-style end-of-year contest, with AMC problems to review topics we have discussed throughout the yearHandouts: worksheet | solutions(references)AMC 10/12 B Training: End-of-Class Contest A contest in Olympiad format.Handouts: EGMO | EGMO_solutionsAMC 8 Training: Last Week: Review Game! Beginners 1A [former Beginners 1A]: The Last Class of the Year Beginners 1B [former Beginners 1B]: The Last Class of the Year Beginners 1C [Former Beginners 1C class]: Last class of the year. Beginners 2A [former Beginners 2A]: End of year! We will do a little geometry practice to reinforce what we've learned in the past three lessons. We will take a quiz. Then we will learn to play some math-games.Beginners 2B [former Beginners 2B]: End of Year Activity/Competition! Chess club: Meeting #7 The last meeting of the year! There will be a tournament with some prizes for the winners :) Intermediate 1A [former Intermediate 1A]: Spring - Competition Day! Class Logistics:We will meet from 4-6 pm at Math Sciences 6221Class Plan:We end the year with a fun competition!Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homeworkHomework Assigned:No homeworkContact Information:Please reach out to the instructors Andy Shen at andyshen55@g.ucla.edu or Naji Sarsam at najisarsam@g.ucla.edu if you have any questions, comments, or concerns!Intermediate 1B [former Intermediate 1B]: 6/4/2023 -- Intermediate 1B: Spring- Competition Day! Class Logistics:We will meet from 4-6 pm at Math Sciences 6229Class Plan:We end the year with a fun competition!Required Resources:Pencil, eraser, and scratch paper.Homework Due:No homeworkHomework Assigned:No homeworkContact Information:Intermediate 2A [former Intermediate 2A]: Competition Intermediate 2B [former Intermediate 2B]: Fun Competition Class Handouts: Summer 2023 quarter // Filter groups by: Advanced 1AAdvanced 2ABeginners 1ABeginners 1BBeginners 2ABeginners 2BBNP ABNP BIntermediate 1AIntermediate 1B 6/25/2023 Advanced 1A [early high school]: Error-Correcting Codes Handouts: HandoutAdvanced 2A [late high school]: Real Numbers We review basic facts about real numbers.Conduit link: https://tinyurl.com/ORMCconduitHandouts: Handout 1Beginners 1A [Based on Math Adventures with ORMC, Level 1]: Squares on a chessboard. Students will study chapter 12 from the course book.Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Squares on a chessboard. Students will study chapter 12 from the course book.Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Ciphers, lesson 1. Students will study the Polibius and Caesar ciphers.Handouts: Caesar cipher templateBeginners 2B [Based on Math Adventures with ORMC, Level 2]: Ciphers, lesson 1. Students will study the Polibius and Caesar ciphers.Handouts: Caesar cipher templateBNP A [Based on Breaking Numbers into Parts]: Intro to breaking numbers into parts. Students will study the first two chapters of the coursebook.BNP B [Based on Breaking Numbers into Parts]: Intro to breaking numbers into parts. Students will study the first two chapters of the coursebook.Intermediate 1A [early middle school]: Binary Numbers and Complements Students will learn about binary numbers and complements, as well as their application to computer systems. By the end of the lesson, students should understand the fundamentals of the two's complement representation for signed binary numbers.Handouts: | SolutionIntermediate 1B [early middle school]: Binary Numbers and Complements Students will learn about binary numbers and complements, as well as their application to computer systems. By the end of the lesson, students should understand the fundamentals of the two's complement representation for signed binary numbers.Handouts: | Solution 7/9/2023 Advanced 1A [early high school]: Combinatorics & Graph Theory intro Handouts: | Advanced 2A [late high school]: Dual numbers Handouts: Old handout, continued | New handoutBeginners 1A [Based on Math Adventures with ORMC, Level 1]: Chessboard games Students will study a few games as an intro to game theory. Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Chessboard games Students will study a few games as an intro to game theory. Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Ciphers, lesson 2. Students will study anagrams, the pigpen and rail fence ciphers.Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Ciphers, lesson 2. Students will study anagrams, the pigpen and rail fence ciphers.BNP A [Based on Breaking Numbers into Parts]: Building houses to add numbers. We will start with checking lesson 2 homework. It may take the entire class. If time permits, we will start lesson 3. BNP B [Based on Breaking Numbers into Parts]: Building houses to add numbers. We will start with checking lesson 2 homework. It may take the entire class. If time permits, we will start lesson 3. Intermediate 1A [early middle school]: Introduction to Boolean Algebra We will review the basics of boolean algebra.Handouts: | SolutionIntermediate 1B [early middle school]: Introduction to Boolean Algebra We will review the basics of Boolean algebra.Handouts: Handout | Solution 7/16/2023 Advanced 1A [early high school]: Network Flow Handouts: Advanced 2A [late high school]: Nonarchimedean extensions We have seen the Archimedes' Axiom for real numbers. Now we will study the fields where it doesn't hold, so there are infinitesimal and unlimited numbers/Beginners 1A [Based on Math Adventures with ORMC, Level 1]: Intro to game theory recap and quiz. Students will play a few more games trying to figure out a winning strategy. Then they will take a quiz to assess their understanding of the covered material. If time permits, students will start chapter 19 from the course book.Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Intro to game theory recap and quiz. Students will play a few more games trying to figure out a winning strategy. Then they will take a quiz to assess their understanding of the covered material. If time permits, students will start chapter 19 from the course book.Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Polygons and solids. Students will study 3D solids and their 2D projections. Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Polygons and solids. Students will study 3D solids and their 2D projections. BNP A [Based on Breaking Numbers into Parts]: The lit window game Finish up chapter 3, assign the second quiz. BNP B [Based on Breaking Numbers into Parts]: The lit window game Finish up chapter 3, assign the second quiz. Intermediate 1A [early middle school]: Boolean Algebra and Logic Problems We will review Boolean algebra properties and apply them to logic problems.Handouts: | SolutionIntermediate 1B [early middle school]: Boolean Algebra and Logic Problems We will review Boolean algebra properties and apply them to logic problems.Handouts: | Solution 7/23/2023 Advanced 1A [early high school]: The Size of Sets Handouts: HandoutAdvanced 2A [late high school]: Transfer Principle We see the hyperreals for the first time and prove their properties.Handouts: HandoutBeginners 1A [Based on Math Adventures with ORMC, Level 1]: Balance scale. Students will study chapter 19 of the course book. Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Balance scale. Students will study chapter 19 of the course book. Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Solids and projections. Students will be constructing all the 3D solids having given 2D projections.Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Solids and projections. Students will be constructing all the 3D solids having given 2D projections.BNP A [Based on Breaking Numbers into Parts]: The Number Line We will go over chapter 4.BNP B [Based on Breaking Numbers into Parts]: The Number Line We will go over chapter 4.Intermediate 1A [early middle school]: Geometry of Boolean Algebra We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.Handouts: | SolutionIntermediate 1B [early middle school]: Geometry of Boolean Algebra We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.Handouts: | Solution 7/30/2023 Advanced 1A [early high school]: Intro to Logic: Definable Sets Handouts: Advanced 2A [late high school]: Transfer Principle, continued. Handouts: Additional handoutBeginners 1A [Based on Math Adventures with ORMC, Level 1]: Balance scale and binary numbers. Students will study chapter 20 of the course book.Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Balance scale and binary numbers. Students will study chapter 20 of the course book.Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Left and right projections. Students will study lesson 9 from the course book.Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Left and right projections. Students will study lesson 9 from the course book.BNP A [Based on Breaking Numbers into Parts]: Digits and Numbers Finish chapter 5, take quiz 3.BNP B [Based on Breaking Numbers into Parts]: Digits and Numbers Finish chapter 5, take quiz 3.Intermediate 1A [early middle school]: Mid-Quarter Competition We will take a break from our normal material and have a fun competition.Handouts: | Answer KeyIntermediate 1B [early middle school]: Mid-Quarter Competition We will take a break from our normal material and have a fun competition.Handouts: | Answer Key 8/6/2023 Advanced 1A [early high school]: Pidgeonhole Principle If more than n pigeons are placed in n pigeonholes, there must be at least one pigeonhole with more than one pigeon. This seemingly simple principle is instrumental in solving many rather hard combinatorial problems.Advanced 2A [late high school]: Nonstandard geometry We will look at infinitesimal changes in the hyper-Euclidian plane and do the nonstandard trigonometry and geometry.Handouts: HandoutBeginners 1A [Based on Math Adventures with ORMC, Level 1]: More binary numbers. Students will study chapter 21 of the course book.Beginners 1B [Based on Math Adventures with ORMC, Level 1]: More binary numbers. Students will study chapter 21 of the course book.Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Knights and liars. Students will pay a virtual visit to the Island of Knights and Liars. Students will have to solve logic puzzles based on the habits of the islanders.Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Knights and liars. Students will pay a virtual visit to the Island of Knights and Liars. Students will have to solve logic puzzles based on the habits of the islanders.BNP A [Based on Breaking Numbers into Parts]: Young Diagrams Discuss chapter 6, and if time permits start chapter 7.BNP B [Based on Breaking Numbers into Parts]: Young Diagrams Discuss chapter 6, and if time permits start chapter 7.Intermediate 1A [early middle school]: Permutations and the 15 puzzle, part 1. Students will start learning the theory of permutations. The goal of this mini-course is to understand when the famous puzzle is solvable and when it's not.Handouts: | Answer KeyIntermediate 1B [early middle school]: Permutations and the 15 puzzle, part 1. Students will start learning the theory of permutations. The goal of this mini-course is to understand when the famous puzzle is solvable and when it's not.Handouts: | Answer Key 8/13/2023 Advanced 1A [early high school]: Deterministic Finite Automata Handouts: handout | solutionsAdvanced 2A [late high school]: Nonstandard geometry, continued We continue with the same topicHandouts: HandoutBeginners 1A [Based on Math Adventures with ORMC, Level 1]: The choice tree. Students will study chapter 22 of the course book. If time remains, they will start chapter 23.Beginners 1B [Based on Math Adventures with ORMC, Level 1]: The choice tree. Students will study chapter 22 of the course book. If time remains, they will start chapter 23.Beginners 2A [Based on Math Adventures with ORMC, Level 2]: The truth function and the AND operation. Students will learn the definition of a statement and how the AND operation acts on statements.Beginners 2B [Based on Math Adventures with ORMC, Level 2]: The truth function and the AND operation. Students will learn the definition of a statement and how the AND operation acts on statements.BNP A [Based on Breaking Numbers into Parts]: Subtraction Review chapter 7, and take quiz 4.BNP B [Based on Breaking Numbers into Parts]: Subtraction Review chapter 7, and take quiz 4.Intermediate 1A [early middle school]: Permutations and the 15 puzzle, part 2 We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.Handouts: | Answer KeyIntermediate 1B [early middle school]: Permutations and the 15 puzzle, part 2 We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.Handouts: | Answer Key 8/20/2023 Advanced 1A [early high school]: Class cancelled due to hurricane Hilary. Advanced 2A [late high school]: Class cancelled due to hurricane Hilary. Handouts: Handout | Bonus problemsBeginners 1A [Based on Math Adventures with ORMC, Level 1]: Class cancelled due to hurricane Hilary. Beginners 1B [Based on Math Adventures with ORMC, Level 1]: Class cancelled due to hurricane Hilary. Beginners 2A [Based on Math Adventures with ORMC, Level 2]: Class cancelled due to hurricane Hilary. Beginners 2B [Based on Math Adventures with ORMC, Level 2]: Class cancelled due to hurricane Hilary. BNP A [Based on Breaking Numbers into Parts]: Class cancelled due to hurricane Hilary. BNP B [Based on Breaking Numbers into Parts]: Class cancelled due to hurricane Hilary. Intermediate 1A [early middle school]: Class cancelled due to hurricane Hilary. Intermediate 1B [early middle school]: Class cancelled due to hurricane Hilary. Summer 2023 quarter // Filter groups by: AdvancedBeginners 1ABeginners 1BBeginners 2ABeginners 2BBNP ABNP BIntermediate 1AIntermediate 1B 8/27/2023 Advanced 1A: Group theory and cryptography. Advanced 2A: Exponential functions. Students will study the Euler constant e and exponential functions.Beginners 1A [Math Adventures with ORMC, Level 1, class A]: Decimal and binary numbers. Students will study chapter 23 of the course book.Beginners 1B [Math Adventures with ORMC, Level 1, class B]: Decimal and binary numbers. Students will study chapter 23 of the course book.Beginners 2A [Math Adventures with ORMC, Level 2, class A]: The OR and negation operations. Students will continue studying Boolean algebra.Beginners 2B [Math Adventures with ORMC, Level 2, class B]: The OR and negation operations. Students will continue studying Boolean algebra.BNP A [Breaking Numbers Into Parts, class A]: Even and Odd numbers. Quiz 5, Chapter 9. We will finish the rest of the book!BNP B [Breaking Numbers Into Parts, class B]: Even and Odd numbers. Quiz 5, Chapter 9. We will finish the rest of the book!Intermediate 1A [Middle school, class A]: Graph Theory We will learn basics of graph theory and consider various relevant theorems.Intermediate 1B [Middle school, class B]: Graph Theory We will learn basics of graph theory and consider various relevant theorems. Fall 2023 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12AMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BBNP ABNP BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 10/1/2023 Advanced 1A [returning Advanced 1A]: Probability Part I - Experiments with Random Variables Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Random Experiments Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Nim Handouts: Handout. | Solution key.Advanced 3 [returning Advanced 2 and 3]: Modular Arithmetic Handouts: ProblemsAMC 10/12: AMC Basics Basics for the amc, with a focus on solving equations and important factoring identitiesHandouts: worksheet | solutionsAMC 8 Training: Diagnostic Test Handouts: Practice TestBeginners 1A [returning Beginners 1A]: Roman numerals, the skipped rule. Students will review Roman numerals and then study lesson 18 from the course book.Beginners 1B [returning Beginners 1B]: Roman numerals, the skipped rule. Students will review Roman numerals and then study lesson 18 from the course book.Beginners 1C [returning Beginners 1C]: Roman numerals, the skipped rule. Students will review Roman numerals and then study lesson 18 from the course book.Beginners 2A [returning Beginners 2A]: Angles and time. Students will review clock arithmetic and learn the applications of mod 360 arithmetic to measuring angles and to timekeeping. Beginners 2B [returning Beginners 2B]: Angles and time. Students will review clock arithmetic and learn the applications of mod 360 arithmetic to measuring angles and to timekeeping. BNP A [Breaking Numbers Into Parts, class A]: Counting stories. Students will study lesson 1 and possibly lesson 2 of the course book.BNP B [Breaking Numbers Into Parts, class B]: Counting stories. Students will study lesson 1 and possibly lesson 2 of the course book.Chess club: Chess Club Meeting #1 (Fall) Intermediate 1A [returning Intermediate 1A]: Week 1: Probability I Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will warm up with some fun games and then introduce basic probability.Required Resources:Pencils, eraser, scratch paper and dice.Homework Due:N/A.Homework Assigned:Finish the handout (Problem 17 is optional).Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Probability, lesson1. We will warm up with some fun games and then introduce basic probability.Homework: Finish the handout for week 1 (Problem 17 is optional).Handouts: Handout for Week 1 | Optional ProblemsIntermediate 2A [returning Intermediate 2A]: Sets and Venn diagrams. Students will start learning set theory.Handouts: Intermediate 2B [returning Intermediate 2B]: Sets and Venn diagrams. Handouts: Olympiads: Problem-Solving Warmup We'll do a variety of Olympiad problems to warm up for the year of problem-solving.The problems will range in level, from practice problems through BAMO up to Putnam, so there should be something for everyone.Handouts: 10/8/2023 Advanced 1A [returning Advanced 1A]: Probability (Random Variables) Part II Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Repeated Independent Trials Handouts: Solutions | HandoutAdvanced 2 [returning Advanced 2 and 3]: Random Walks Handouts: Advanced 3 [returning Advanced 2 and 3]: Finite fields Handouts: AMC 10/12: Functions AMC basics involving functions: domain, range, graphing, inverses, recursive functionsHandouts: worksheet | solutionsAMC 8 Training: Algebra Handouts: Beginners 1A [returning Beginners 1A]: Balance Scale We will discuss chapter 19, which goes over the balance scale and problems relating to it. Beginners 1B [returning Beginners 1B]: Chapter 19 - Balance and the abacus We will talk about binary numbers and the balance scale. I will also review how to do addition and subtraction using an abacus.Beginners 1C [returning Beginners 1C]: Balance Scale We will discuss chapter 19, which goes over the balance scale and problems relating to it. Beginners 2A [returning Beginners 2A]: Geometry of Time Students will review unit of measurements such as time and learning about coordinates on the globeBeginners 2B [returning Beginners 2B]: Geometry of Time Students will learn about time's relationships with the globe, including time zones and more.BNP A [Breaking Numbers Into Parts, class A]: Lesson 2 Parts of a Number BNP B [Breaking Numbers Into Parts, class B]: Lesson 2 Parts of a Number Chess club: Meeting #2 (Fall) Intermediate 1A [returning Intermediate 1A]: Week 2: Probability II Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will start with a review of basic probability from last week. We will then introduce combinatorics tools and apply them to calculate probabilities.Required Resources:Pencils, eraser and scratch paper.Homework Due:Finish last week’s handout (Problem 17 is optional).Homework Assigned:Attempt problems 1-12, 14, 16, 18, 20 and 21.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Probability and Combinatorics. We introduce the concepts of factorial, permutations, and binomial coefficients, as well as their application to calculating probabilities.Homework: Problem 1-12, 14, 16, 18, 20 and 21 from the handout.Handouts: Handout for Week 2Intermediate 2A [returning Intermediate 2A]: Induction and Combinatorics We are going to explore the concept of induction, and apply it to the tower of Hanoi. Further, we are going to talk about combinations, permutations, and binomial coefficients.Handouts: Intermediate 2B [returning Intermediate 2B]: Induction and Combinatorics Handouts: Olympiads: Olympiads Week 2 We'll focus on writing clear proofs as we do problems from books and from a variety of actual Olympiads.Handouts: Problems 10/15/2023 Advanced 1A [returning Advanced 1A]: Metrics and Distance Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Metrics and Distances Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Group Theory via Symmetries Handouts: | Advanced 3 [returning Advanced 2 and 3]: Introduction to polynomials over finite fields Handouts: worksheet 3AMC 10/12: Complex Numbers basics of complex number arithmetic and geometryHandouts: worksheet | solutionsAMC 8 Training: Number Theory Handouts: Beginners 1A [returning Beginners 1A]: Balance Scale and Binary We will complete chapter 20.Beginners 1B [returning Beginners 1B]: Introduction to binary We will finish Chapter 19 on pan balances, and begin Chapter 20, using the balance pans to introduce the idea of binary numbers.Beginners 1C [returning Beginners 1C]: Balance Scale and Binary We will complete chapter 20.Beginners 2A [returning Beginners 2A]: Time and Geometry Students will learn about Earth's poles and practice calculating time based off Earth's movement. Beginners 2B [returning Beginners 2B]: Time and Geography Students will continue learning about the relationships between geometry and time, using real-world examples from around the globe.BNP A [Breaking Numbers Into Parts, class A]: Lesson 2 Parts of a Number Continued BNP B [Breaking Numbers Into Parts, class B]: Lesson 2 Parts of a Number Continued Chess club: Meeting #3 Intermediate 1A [returning Intermediate 1A]: Week 3: Probability III Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will start with a review of combinatorics from last week. We will then learn how to use combinatorics to calculate probabilities.Required Resources:Pencils, eraser, scratch paper and dice.Homework Due:Problems 1-12, 14, 16, 18, 20 and 21 from last week's handout.Homework Assigned:Problems 1-17 on the handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: More on Combinatorics and Probability Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will start with a review of combinatorics from last week. We will then learn how to use combinatorics to calculate probabilities.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due Oct 22):Problem 1-17 on the handout below. Reading on the first half of Page 9 is optional.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 3 | Homework SolutionIntermediate 2A [returning Intermediate 2A]: More Induction! We are going to explore many aspects and applications of induction, in divisibility problems, inequalities, visual and geometry problems, and puzzles.Handouts: Intermediate 2B [returning Intermediate 2B]: More Induction Handouts: Olympiads: Invariants This week, we will solve competition problems with invariants.When there is some repeated process, rather than studying what does change, we may want to look at what stays the same.This allows us to make connections between the starting and ending positions, and we can rule out many possibilities this way.Handouts: 10/22/2023 Advanced 1A [returning Advanced 1A]: Graphs Theory and Combinatorial Optimization Handouts: Solutions | HandoutAdvanced 1B [returning Advanced 1B]: Graph Theory and Combinatorial Optimization Handouts: Solutions | HandoutAdvanced 2 [returning Advanced 2 and 3]: Lambda Calculus Handouts: | Advanced 3 [returning Advanced 2 and 3]: Polynomials over finite fields Handouts: AMC 10/12: Counting & Probability Handouts: worksheetAMC 8 Training: Combinatorics Handouts: Beginners 1A [returning Beginners 1A]: More Binary! We will continue our journey in Binary Land, and cover chapter 21. Beginners 1B [returning Beginners 1B]: Chapter 20: Binary numbers We will use the pan balance to motivate defining and working with binary numbers.Beginners 1C [returning Beginners 1C]: More Binary! We will continue our journey in Binary Land, and cover chapter 21. Beginners 2A [returning Beginners 2A]: The Planet of Heptadium and Cryptarithms Students will use modular arithmetic to convert time on Planet Heptadium. In the second half of the class, will learn how to solve different types of cryptarithms. Beginners 2B [returning Beginners 2B]: Chapter 30: The Lesson of Heptadium Students will learn more about modular arithmetic through examples surrounding time in a world where people count mod seven.BNP A [Breaking Numbers Into Parts, class A]: Review Homework for Lesson 2, Quiz #1 BNP B [Breaking Numbers Into Parts, class B]: Review Lesson 2 Homework, Quiz #1 Chess club: Meeting #4 Intermediate 1A [returning Intermediate 1A]: Week 4: Logic Puzzles Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will explore some fun logic puzzles.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Problems 1-17 from last week's handout.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Logic Puzzles Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will explore some fun logic puzzles as well as some challenging mathematical games.Required Resources:Pencils, eraser and scratch paper.Homework Assigned: No homework this week.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 4Intermediate 2A [returning Intermediate 2A]: Introduction to Inequalities Handouts: Intermediate 2B [returning Intermediate 2B]: Introduction to Inequalities Handouts: Olympiads: Polynomials We'll look at a few problems involving polynomials and the tricks to solve them.Handouts: 10/29/2023 Advanced 1A [returning Advanced 1A]: Perimeter, Area, and the Isoperimetric Inequality Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Perimeter, Area, and the Isoperimetric Inequality Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Continued Fractions Handouts: Advanced 3 [returning Advanced 2 and 3]: Rings I Handouts: Rings 1AMC 10/12: Geometry Handouts: worksheetAMC 8 Training: Sequences and Series Handouts: Beginners 1A [returning Beginners 1A]: Choice Tree and Quiz 6 Students who have not already taken quiz 6 will take it, and then we will work on chapter 22.Beginners 1B [returning Beginners 1B]: More Binary We will follow Chapter 21, studying the method for writing numbers in binary form.Beginners 1C [returning Beginners 1C]: Choice Tree and Quiz 6 Students who have not already taken quiz 6 will take it, and then we will work on chapter 22.Beginners 2A [returning Beginners 2A]: Divisibility Rules Students will learn about prime numbers and practice using divisibility patterns. Beginners 2B [returning Beginners 2B]: Cryptarithms and Quiz 1 Students will review previous concepts in Quiz 1 and learn how to solve Cryptarithms in this week's lesson.BNP A [Breaking Numbers Into Parts, class A]: Lesson 3 Partitions and Subtraction BNP B [Breaking Numbers Into Parts, class B]: Lesson 3 Partitions and Subtraction Chess club: Meeting #5 Intermediate 1A [returning Intermediate 1A]: Week 5: Problem Solving Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will explore problem solving through sample olympiad problems.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:Problems 1-8 on the handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Problem Solving Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will do competition-type math problems and introduce some problem-solving techniques.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due Nov. 5):Problem 1-8 on the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 5 | Homework SolutionIntermediate 2A [returning Intermediate 2A]: Error Correcting Codes We are going to take a look into the basics of error correcting codes. In other words, we are going to think of smart ways to encode and decode messages such that slight errors that may alter our message during transmission won't affect the receivers ability to interpret it.Handouts: Intermediate 2B [returning Intermediate 2B]: Binary Representation and Error-Correcting Codes Handouts: Olympiads: Polynomials 2 We consider some more techniques for working with polynomials, such as Vieta's Formulas and tools for working with irreducible polynomials.Handouts: 11/5/2023 Advanced 1A [returning Advanced 1A]: Isoperimetric Inequality Part II with Random Chords Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Isoperimetric Inequality and Random Chords Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Quadratic Reciprocity Handouts: Advanced 3 [returning Advanced 2 and 3]: Rings II Handouts: AMC 10/12: Mock AMC Test 2018 amc 10bHandouts: testAMC 8 Training: Practice Test Handouts: Beginners 1A [returning Beginners 1A]: Binary and Odd and Even Numbers We will finish chapter 23, and then start chapter 24.Beginners 1B [returning Beginners 1B]: Counting problems Chapter 22 and quizBeginners 1C [returning Beginners 1C]: Binary and Odd and Even Numbers We will finish chapter 23, and then start chapter 24.Beginners 2A [returning Beginners 2A]: Ciphers and Functions Students will continue learning how to use Modular Arithmetic to solve ciphers as well as review divisibility rules from last week. Beginners 2B [returning Beginners 2B]: Lesson 32: Divisibility Rules Students will learn about divisibility rules for numbers in base 10.BNP A [Breaking Numbers Into Parts, class A]: Lesson 4 - The Number Line BNP B [Breaking Numbers Into Parts, class B]: Lesson 4 - The Number Line Chess club: Meeting #6 Intermediate 1A [returning Intermediate 1A]: Week 6: Sets Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will introduce sets and discuss their properties.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Problems 1-8 on the previous week's handout.Homework Assigned:Finish this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Set Theory Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will introduce the concept of sets and do some basic set theory.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due Nov. 19):Finish all problems on the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Graph Theory We will look into some interesting graph theory problems, along with a surprising application.Handouts: Intermediate 2B [returning Intermediate 2B]: Graph Theory Handouts: Olympiads: Inequalities We will do competition problems using inequalities such as AM-GM and Cauchy-Schwarz.Handouts: 11/19/2023 Advanced 1A [returning Advanced 1A]: Aerospace Corp. tour Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.Advanced 1B [returning Advanced 1B]: Aerospace Corp. tour Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.Advanced 2 [returning Advanced 2 and 3]: Aerospace Corp. tour Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.Advanced 3 [returning Advanced 2 and 3]: Aerospace Corp. tour Students will be given a tour of the Airspace corporation. A quarterly guest lecture will be a part of the tour.Beginners 1A [returning Beginners 1A]: Odd and Even Chapter 25Beginners 1B [returning Beginners 1B]: Bits and digits After finishing our review of Chapter 22 (counting triangles), we will work through Chapter 23 -- bits and digits.Beginners 1C [returning Beginners 1C]: Odd and Even Chapter 25Beginners 2A [returning Beginners 2A]: Ciphers and Functions Students will working on the Ciphers and Functions Packet. Beginners 2B [returning Beginners 2B]: Chapter 33: Ciphers and Functions BNP A [Breaking Numbers Into Parts, class A]: Lesson 5 Digits and Numbers BNP B [Breaking Numbers Into Parts, class B]: Lesson 5 Digits and Numbers Chess club: Meeting #7 Intermediate 1A [returning Intermediate 1A]: Week 7: Sets II Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will continue our discussion of sets by introducing the notions of power sets and Cartesian products.Required Resources:Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.Homework Due:Previous week's handout.Homework Assigned:Finish this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Product and Power Sets Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will review the basic concepts of set theory, and introduce power set and Cartesian products.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due Dec. 3):Finish the handoutContact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Graph Games: Sim and Sprouts. We are going to apply some of our Graph Theory skills to playing the games of Sim and Sprouts and solve related problems.Handouts: Intermediate 2B [returning Intermediate 2B]: Graph Games Handouts: 12/3/2023 Advanced 1A [returning Advanced 1A]: Information Theory Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Information Theory Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Hackenbush Handouts: Advanced 3 [returning Advanced 2 and 3]: Contest/Exam Handouts: | AMC 10/12: Geometry: Circles Handouts: worksheetAMC 8 Training: Geometry Handouts: Beginners 1A [returning Beginners 1A]: Binary Magic Chapter 26Beginners 1B [returning Beginners 1B]: Binary and decimal numbers We will review some counting problems. Then we will discuss the differences and similarities between decimal and binary numbers (Chapter 23).Beginners 1C [returning Beginners 1C]: Binary Magic Chapter 26Beginners 2A [returning Beginners 2A]: Math Kangaroo Review Students will finish reviewing the previous week's handout and then complete a practice Math Kangaroo. Beginners 2B [returning Beginners 2B]: Lesson 34: Symmetric and Asymmetric Keys and Quiz 9 BNP A [Breaking Numbers Into Parts, class A]: Lesson 6 Young Diagrams BNP B [Breaking Numbers Into Parts, class B]: Lesson 6 Young Diagrams Chess club: Meeting #8 Intermediate 1A [returning Intermediate 1A]: Week 8: Sets III Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will continue our discussion of sets by discussing functions between sets and cardinalities of finite and infinite sets.Required Resources:Pencils, eraser, scratch paper, and handout from Week 5: Problem Solving.Homework Due:Previous week's handout.Homework Assigned:Problems 1.1 to 1.9 and 1.12.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Functions between Sets Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will study functions between sets.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due Dec 10):Finsh Problem 1.1 - 1.9 and 1.12 on the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Intermediate 2A [returning Intermediate 2A]: Error correcting codes Handouts: Intermediate 2B [returning Intermediate 2B]: Error Correcting Codes Handouts: Olympiads: Generating Functions We will go over the basics of generating functions, and see how they can be used in olympiad problems about counting.Handouts: 12/10/2023 Advanced 1A [returning Advanced 1A]: Competition Handouts: ProblemsAdvanced 1B [returning Advanced 1B]: Competition Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Competition Advanced 3 [returning Advanced 2 and 3]: Zero sets of polynomials Handouts: AMC 10/12: Number Theory Handouts: worksheetAMC 8 Training: Review Game! Handouts: Algebra | Geometry | Number Theory | ProbabilityBeginners 1A [returning Beginners 1A]: Binary Magic Part 2 Chapter 27Beginners 1B [returning Beginners 1B]: Odds and evens We will cover Chapter 24 (odd and even numbers). Students who finish the chapter will then play a mathematical game in pairs.Beginners 1C [returning Beginners 1C]: Binary Magic Part 2 Chapter 27Beginners 2A [returning Beginners 2A]: Fall Quarter Review Students will play a review Jeapordy GameBeginners 2B [returning Beginners 2B]: Lesson 34 Review and End of Year Game! BNP A [Breaking Numbers Into Parts, class A]: Lesson 7 Harder Subtraction Problems & Quiz #3 BNP B [Breaking Numbers Into Parts, class B]: Lesson 7 Harder Subtraction Problems & Quiz #3 Chess club: Meeting #9 Intermediate 1A [returning Intermediate 1A]: Week 9: Competition! Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will have a fun competition to end the quarter!Required Resources:Pencils, eraser, and scratch paper.Homework Due:Problems 1.1 to 1.9 and 1.12 on previous week's handout.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Competition Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will do an end-of-quarter competition.Required Resources:Pencils, eraser and scratch paper.Homework Assigned:None.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Intermediate 2A [returning Intermediate 2A]: Reed-Solomon Error Correction Handouts: Intermediate 2B [returning Intermediate 2B]: Reed-Solomon Error Correction Handouts: Olympiads: Generating Functions 2 We'll continue thinking about generating functions, showing some more advanced techniques for particular competition problems.Handouts: Winter 2024 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BBNP ABNP BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 1/7/2024 Advanced 1A [returning Advanced 1A]: Geometry and Group Theory Pt. 1 Handouts: HandoutAdvanced 1B [returning Advanced 1B]: Group Theory and Geometry Pt. 1: Symmetries Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Symmetric Groups Handouts: Advanced 3 [returning Advanced 2 and 3]: The Projective plane Handouts: AMC 10/12 Training: Trigonometry Basics of trig functions, law of sines, law of cosines, stewart's theoremHandouts: worksheetAMC 8 Training: Practice Test Handouts: Beginners 1A [returning Beginners 1A]: Adding and Subtracting Binary Numbers We will complete chapter 28.Beginners 1B [returning Beginners 1B]: Finishing odds and evens and beginning a binary magic trick We will finish our class on odds and evens (Chapter 25, with a review of 24.15), and then we will demonstrate some binary mathemagic!Beginners 1C [returning Beginners 1C]: Adding and Subtracting Binary Numbers We will complete chapter 28.Beginners 2A [returning Beginners 2A]: Introduction to Geometry Students will begin studying the fundamental properties of geometry through introduction handouts.Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry Students will review the fundamentals of geometry through two introduction handouts.Handouts: Lesson packetBNP A [Breaking Numbers Into Parts, class A]: Lesson 8 Odd and Even Numbers BNP B [Breaking Numbers Into Parts, class B]: Lesson 8 Odd and Even Numbers Chess club: Meeting #1 (Winter) Intermediate 1A [returning Intermediate 1A]: Week 1: Introduction to Euclidean Geometry Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will begin our exploration of Euclidean geometry.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:Section 1 on this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Introduction to Euclidean Geometry Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will introduce basic concepts in Euclidean geometry.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due 1/14):Finish Section 1 (1.1 - 1.13) on the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Introduction to Heaps. Handouts: Intermediate 2B [returning Intermediate 2B]: Heaps Handouts: Olympiads: Combinatorics Problems We'll take a look at a variety of different combinatorics problems, from olympiad training books and actual competitions.Handouts: 1/14/2024 Advanced 1A [returning Advanced 1A]: Geometry and Group Theory Pt. 2 Handouts: HandoutAdvanced 1B [returning Advanced 1B]: Geometry and Group Theory Pt. 2 Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Proofs Handouts: Advanced 3 [returning Advanced 2 and 3]: Projective Space Handouts: AMC 10/12 Training: Mass Points Using mass points method to solve 2D geometry problemsHandouts: worksheetAMC 8 Training: Practice Test Handouts: Beginners 1A [returning Beginners 1A]: Recap and Quiz 7 We will take quiz 7, and then work on chapter 29 which focuses on a recap of previous material and understanding ascii tables. Beginners 1B [returning Beginners 1B]: A binary magic trick We will cover the binary magic trick from Chapter 26 and 27.Beginners 1C [returning Beginners 1C]: Recap and Quiz 7 We will take quiz 7, and then work on chapter 29 which focuses on a recap of previous material and understanding ascii tables. Beginners 2A [returning Beginners 2A]: Introduction to Geometry: Angles, Triangles, and Congruence Students will learn to utilize a ruler and compass to construct triangles and evaluate congruence proofs. They will also continuing focusing on rays and straight angles.Handouts: Lesson 2Beginners 2B [returning Beginners 2B]: Introduction to Geometry: Angles, Triangles, and Congruence Students will learn to utilize a ruler and compass to construct triangles and evaluate congruence proofs.Handouts: Previous Lesson | LessonBNP A [Breaking Numbers Into Parts, class A]: Lesson 9 Properties of Odd and Even Numbers BNP B [Breaking Numbers Into Parts, class B]: Lesson 9 Properties of Odd and Even Numbers Chess club: Meeting #2 (Winter) Intermediate 1A [returning Intermediate 1A]: Week 2: Angles and Triangles Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will continue our exploration of Euclidean geometry.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Section 1 on last week's handout.Homework Assigned:Attempt all of this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Angles and Triangles Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will continue to do some Euclidean geometry, focusing on calculating angles and theorems on congruence triangles.Required Resources:Pencils, eraser and scratch paper.Homework Assigned (Due 1/21):Finish the worksheet up to Problem 3.7. If you have time, attempt Problem 3.8, 3.9, and 3.10.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Information Theory Handouts: Intermediate 2B [returning Intermediate 2B]: Information Theory Handouts: Olympiads: Selected Putnam 2023 Problems I've selected the easier half of this year's Putnam problems, and broken them into approachable pieces with some hints.Handouts: 1/21/2024 Advanced 1A [returning Advanced 1A]: Deterministic Finite Automata Handouts: Warmup Problems | Worksheet | SolutionsAdvanced 1B [returning Advanced 1B]: Deterministic Finite Automata Handouts: Solutions | Warmup | HandoutAdvanced 2 [returning Advanced 2 and 3]: Determinants Handouts: Advanced 3 [returning Advanced 2 and 3]: Subspaces of projective space Handouts: AMC 10/12 Training: Modular Arithmetic Solving AMC problems using basic-intermediate concepts in number theoryHandouts: worksheetAMC 8 Training: AMC 8 test Students who have signed up to take the AMC 8 test with ORMC will take it in MS 5200 from 1:00 PM on.Beginners 1A [returning Beginners 1A]: Mobius strips We will finish chapter 29, then continue on to chapter 30. Beginners 1B [returning Beginners 1B]: Finishing the binary magic trick We will finish the binary magic trick (Chapter 27), and start to think about how to make arithmetic work with binary numbers (Chapter 28).Beginners 1C [returning Beginners 1C]: Mobius strips We will finish chapter 29, then continue on to chapter 30. Beginners 2A [returning Beginners 2A]: Introduction to Geometry: Geometry Test and Pythagorean Theorem Students will review the past geometry concepts ( rays, lines, and triangle constructions) through a test and begin learning about the Pythagorean Theorem.Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry: Constructions Quiz Students will review the previous lessons and take a quiz on geometric constructions.Handouts: Practice TestBNP A [Breaking Numbers Into Parts, class A]: Lesson 10 Commutativity of Addition BNP B [Breaking Numbers Into Parts, class B]: Lesson 10 Commutativity of Addition Chess club: No chess club on 1/21. Hairan is out of town. Intermediate 1A [returning Intermediate 1A]: Week 3: Perimeters and Areas Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will discuss the notion of area and perimeter.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Attempt all of last week's handout.Homework Assigned:Attempt all problems until 3.13.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Perimeters and Areas Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will discuss the notion of area and perimeter.Required Resources:Pencils, eraser, ruler and scratch paper.Homework Assigned (Due 1/28):Finish the handout except for the challenge problems. Attempt the challenge problems if you have time.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Combinatorial Subtraction Games Handouts: Intermediate 2B [returning Intermediate 2B]: Combinatorial Subtraction Games Handouts: Olympiads: Expected Values Inspired by a problem from last week's worksheet on the 2023 Putnam, this week we will be diving into uses of expected values in probability problems.Handouts: 1/28/2024 Advanced 1A [returning Advanced 1A]: Regular Languages Handouts: Solutions | HandoutAdvanced 1B [returning Advanced 1B]: Regular Languages Handouts: Solutions | HandoutAdvanced 2 [returning Advanced 2 and 3]: Arithmetic Functions Handouts: Advanced 3 [returning Advanced 2 and 3]: Combinatorics of the projective planes Handouts: AMC 10/12 Training: Number Theory More topics in number theory: euclidean algorithm, chinese remainder theoremHandouts: worksheetAMC 8 Training: AMC 10 Practice Test Handouts: Beginners 1A [returning Beginners 1A]: Coordinates We will go over chapter 31.Beginners 1B [returning Beginners 1B]: Adding and subtracting in binary The abacus will help us to visualize arithmetic -- addition and subtraction -- of binary numbers. At the end of the class, parents are invited in for a demonstration of the binary magic trick that students have been practicing.Beginners 1C [returning Beginners 1C]: Coordinates We will go over chapter 31.Beginners 2A [returning Beginners 2A]: Introduction to Geometry 3: Rhombus Proofs and Pythagorean Theorem Students will use the triangle congruency postulates they have learned to prove different identities of a Rhombus and begin learning about the Pythagorean theorem. Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry: Right Angles and the Pythagorean Theorem Students will continue building upon their knowledge of geometry by learning how to construct and utilize right angles and triangles.Handouts: 01/28 PacketBNP A [Breaking Numbers Into Parts, class A]: Lesson 10 Commutativity of Addition Continued BNP B [Breaking Numbers Into Parts, class B]: Lesson 10 Commutativity of Addition Continued Chess club: Chess Club Meeting #3 Intermediate 1A [returning Intermediate 1A]: Week 4: Taxicab Geometry Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will discuss a non-Euclidean notion of distance and the corresponding geometry.Required Resources:Pencils, eraser, scratch paper and compass.Homework Due:Attempt all problems up to 3.13 on last week's handout.Homework Assigned:No homework.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Taxicab Geometry Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will introduce taxicab geometry, including taxicab distances and circles.Required Resources:Pencils, eraser, ruler and scratch paper.Homework Assigned (Due 2/4):Finish the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 4Intermediate 2A [returning Intermediate 2A]: Balanced Trees and Fibonacci Numbers Handouts: Intermediate 2B [returning Intermediate 2B]: Balanced Trees and Fibonacci Numbers Handouts: Olympiads: Number Theory We'll take a look at some interesting number theory problems from problem books and competitions.Handouts: 2/4/2024 Advanced 1A [returning Advanced 1A]: Fun and Games Handouts: HandoutAdvanced 1B [returning Advanced 1B]: Fun and Games Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Nonstandard Analysis Handouts: Advanced 3 [returning Advanced 2 and 3]: Affine Space Handouts: AMC 10/12 Training: Review Worksheet with mixed AMC 10 and 12 problems covering various topics that we have covered during the year up to this pointHandouts: worksheetAMC 8 Training: Circles! Handouts: Beginners 1A [returning Beginners 1A]: How to fight a dragon! Chapter 32Beginners 1B [returning Beginners 1B]: Binary addition and subtraction, and an introduction to ASCII We will finish our discussion of binary arithmetic (addition and subtraction, Chapter 28), and then look at how binary coding can be used to represent letters as well as numbers (ASCII, chapter 29). We will not have a quiz.Beginners 1C [returning Beginners 1C]: How to fight a dragon! Chapter 32Beginners 2A [returning Beginners 2A]: Introduction to Geometry: Right Angles, Pythagorean Theorem, and Line Segments Students will continue learning about how to use right angles and triangle congruences to prove the Pythagorean Theorem. If there is time, they will begin learning about line segments in the Geometry Workbook. Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry: The Pythagorean Theorem (Continued) Students will continue learning about right triangles and The Pythagorean Theorem.Handouts: BNP A [Breaking Numbers Into Parts, class A]: Lesson 11 Adding More Than Two Numbers BNP B [Breaking Numbers Into Parts, class B]: Lesson 11 Adding More Thank Two Numbers Chess club: Meeting #4 Intermediate 1A [returning Intermediate 1A]: Week 5: Shapes in Taxicab Geometry Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will continue our exploration of taxicab geometry with a discussion on shapes.Required Resources:Pencils, eraser, scratch paper and compass.Homework Due:No homework.Homework Assigned:Attempt all of this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Taxicab Geometry II Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will continue on the theory of taxicab geometry, focusing on graphing conic curves.Required Resources:Pencils, eraser, ruler and scratch paper.Homework Assigned:TBDContact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 5Intermediate 2A [returning Intermediate 2A]: Problem Solving / Recap Handouts: Intermediate 2B [returning Intermediate 2B]: Problem Solving Handouts: Olympiads: Combinatorial Geometry This week, we will talk about combinatorial geometry.We'll start with the classic Lazy Caterer's Problem and build up to harder problems about counting geometrical objects.Handouts: 2/18/2024 Advanced 1A [returning Advanced 1A]: Permutations Part I: Graphing Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Permutations Part I: Graphing Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Quantum Computing I Handouts: Advanced 3 [returning Advanced 2 and 3]: Field extensions Handouts: AMC 10/12 Training: Combinatorics Practice for AMC 10/12 -level counting techniquesHandouts: worksheetAMC 8 Training: 3D Formulas Handouts: Beginners 1A [returning Beginners 1A]: Recap We will finish chapter 33, and complete the book!Beginners 1B [returning Beginners 1B]: Mobius strips We will study the differences between orientable and non-orientable surfaces. Students will make their own Mobius strips and study what happens when the strips are cut. We will follow Chapter 30 from the workbook. Students should each bring with them a pair of scissors that they are able to safely use.Beginners 1C [returning Beginners 1C]: Recap We will finish chapter 33, and complete the book!Beginners 2A [returning Beginners 2A]: Vectors and Elementary Physics Students will continue learning about the Euclidean Plane, focusing on vectors and learning basic physic properties.Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry: Parallel Lines Students will explore the properties of parallel lines and apply them to proofs.Handouts: 02/18 PacketBNP A [Breaking Numbers Into Parts, class A]: Lesson 12 Operations BNP B [Breaking Numbers Into Parts, class B]: Lessson 12 Operations Chess club: Meeting #5 Intermediate 1A [returning Intermediate 1A]: Week 6: Large Numbers Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will explore the qualities of large numbers.Required Resources:Pencils, eraser, scratch paper and compass.Homework Due:All of the previously assigned handoutHomework Assigned:Sections 1, 2 and 3 on this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Big Numbers Intermediate 2A [returning Intermediate 2A]: Counting Hats and Euler's number Handouts: Intermediate 2B [returning Intermediate 2B]: Counting Hats Handouts: Olympiads: Complex Numbers in Geometry We use the complex plane interpretation to solve geometry problems using complex algebra.Handouts: 2/25/2024 Advanced 1A [returning Advanced 1A]: Permutations Part II Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Permutations Part II: Partial Orderings Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Quantum Computing II Handouts: Advanced 3 [returning Advanced 2 and 3]: vector spaces over finite fields Handouts: AMC 10/12 Training: More Combinatorics More practice and review on important combinatorics techniques for the AMC 10/12Handouts: worksheetAMC 8 Training: Logic Problems and Formulas! Handouts: Beginners 1A [returning Beginners 1A]: Recap Part 2 We will finish chapter 33Beginners 1B [returning Beginners 1B]: Quiz and Coordinates We will start with a short quiz on binary numbers, odds and evens and the balance scale. Then we will start the topic of coordinates (Chapter 31).Beginners 1C [returning Beginners 1C]: Recap Part 2 We will finish chapter 33Beginners 2A [returning Beginners 2A]: Vector Addition and Algebra Students will continue learning about vectors and begin doing vector algebra such as addition. Handouts: Beginners 2B [returning Beginners 2B]: Introduction to Geometry: Vectors Students will learn about the unique properties of vectors and why they are useful in geometric proofs.Handouts: Handout | Problem 4 SolutionBNP A [Breaking Numbers Into Parts, class A]: Lesson 13 Compositions of Operations and Commutativity BNP B [Breaking Numbers Into Parts, class B]: Lesson 13 Compositions of Operations and Commutativity Chess club: Meeting #7 Intermediate 1A [returning Intermediate 1A]: Week 7: Game Theory Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will introduce the concept of a mathematical game and Nash equilibrium.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Sections 1, 2 and 3 on the previous week's handout.Homework Assigned:Sections 1, 2 and 3 on this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Game Theory I Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will introduce mathematical game theory, including the concepts of Nash equilibrium, dominant strategies, and mixed strategies.Required Resources:Pencils, eraser, ruler and scratch paper.Homework Assigned:Finish Section 2 and 3 on the handout.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Intermediate 2A [returning Intermediate 2A]: Gini Coefficient and Lorentz curve Handouts: Intermediate 2B [returning Intermediate 2B]: Lorenz Curve and Gini Coefficients Handouts: Olympiads: Barycentric Coordinates We'll take a look at a particular kind of coordinate system based on triangles.We'll then use these barycentric coordinates to prove theorems and solve competition problems based on triangles.Handouts: 3/3/2024 Advanced 1A [returning Advanced 1A]: Cartography and Navigation Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Exploration Circle: Astronomy, Cartography, and Navigation Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Financial Math Handouts: Advanced 3 [returning Advanced 2 and 3]: Winter Contest Handouts: Winter Final Exam I | Winter Final Exam IIAMC 10/12 Training: Algebra Solving AMC 10/12 problems related to factoring, systems of equations, graphing, logarithms, and functionsHandouts: worksheetAMC 8 Training: Number Theory!! Handouts: Beginners 1A [returning Beginners 1A]: New book! Chapter 1 We will start the new book, packets will be provided. Beginners 1B [returning Beginners 1B]: Slaying dragons We conclude our discussion of coordinate geometryBeginners 1C [returning Beginners 1C]: New book! Chapter 1 We will start the new book, packets will be provided. Beginners 2A [returning Beginners 2A]: Vectors and Vector Addition Students will continue their handout from last week, solidifying their knowledge of vector addition and drawing them.Handouts: Beginners 2B [returning Beginners 2B]: Vectors and Physics 2 Students will learn about linear combinations of vectors and how to utilize them.Handouts: BNP A [Breaking Numbers Into Parts, class A]: Lesson 13 Compositions of Operations and Commutativity BNP B [Breaking Numbers Into Parts, class B]: Lesson 13 Compositions of Operations and Commutativity Chess club: Meeting #7 Intermediate 1A [returning Intermediate 1A]: Week 8: Mathematical Games Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will solve some fun mathematical games.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Sections 1, 2 and 3 on the previous week's handout.Homework Assigned:Section 1 on the this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Game Theory II Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will continue our exploration in mathematical game theory.Required Resources:Pencils, eraser, ruler and scratch paper.Homework Assigned:No homework this week.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Handout for Week 8Intermediate 2A [returning Intermediate 2A]: Did Dream Cheat? Probability and StatisticsIntermediate 2B [returning Intermediate 2B]: Did Dream Cheat? In this class, students will use probability and statistics to determine whether they think that a popular Minecraft YouTuber cheated during his December 2020 speed-run of the game (as well as other fun problems!).Handouts: Olympiads: Catalan Numbers and Related Combinatorics Many combinatorial problems have the same solution - the Catalan numbers.We will use some of these problems to practice bijective combinatorial proofs, and then apply those techniques to competition problems.Handouts: Spring 2024 quarter // Filter groups by: Advanced 1AAdvanced 1BAdvanced 2Advanced 3AMC 10/12 TrainingAMC 8 TrainingBeginners 1ABeginners 1BBeginners 1CBeginners 2ABeginners 2BBNP ABNP BChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads 3/10/2024 Advanced 1A [returning Advanced 1A]: Winter Competition Handouts: HandoutAdvanced 1B [returning Advanced 1B]: Winter Competition Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Game Handouts: | Advanced 3 [returning Advanced 2 and 3]: Ring homomorphisms Handouts: AMC 10/12 Training: Review/Contest Contest-style worksheet, including questions involving all topics covered up to this point in the class.Handouts: individual round | relay round | team roundAMC 8 Training: Review Game! Beginners 1A [returning Beginners 1A]: Chapter 2 We will work on the second packet. Beginners 1B [returning Beginners 1B]: Review of Level 1 We will review materials from Chapter 32. Then students will work on the review chapter (Chapter 33) in small groups.Beginners 1C [returning Beginners 1C]: Chapter 2 We will work on the second packet. Beginners 2A [returning Beginners 2A]: End of the Quarter: Geometry and Vector Review Game Students will spend the last class of the quarter playing a jeopardy style review game on the topics covered this quarter.Handouts: Beginners 2B [returning Beginners 2B]: Mini-Lesson/Review and Winter Quarter Competition BNP A [Breaking Numbers Into Parts, class A]: Lesson 13 Compositions of Operations and Commutativity Continued BNP B [Breaking Numbers Into Parts, class B]: Lesson 13 Compositions of Operation and Communitivity Cont. Chess club: Intermediate 1A [returning Intermediate 1A]: Week 9: Competition! Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will have a fun competition to end the quarter!Required Resources:Pencils, eraser, and scratch paper.Homework Due:Sections 1 on the previous week's handout.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Intermediate 1B [returning Intermediate 1B]: Competition Class Logistics:We will meet from 4 to 6 pm at Math Sciences 3974.Class Plan:We will do an end-of-quarter competition.Required Resources:Pencils, eraser and scratch paper.Homework Assigned:None.Contact InformationEmail zhenye@ucla.edu and will652397@gmail.com if you have any questions.Handouts: Intermediate 2A [returning Intermediate 2A]: Last day of Winter Quarter CompetitionHandouts: Intermediate 2B [returning Intermediate 2B]: Competition Handouts: Olympiads: Summing Binomial Coefficients We'll prove some formulas for summing binomial coefficients, and use them to solve competition problems.Handouts: 3/31/2024 Advanced 1A [returning Advanced 1A]: Estimating (Irrational) Numbers with Continued Fractions Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Estimating (Irrational) Numbers Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Error-Correcting Codes Handouts: Advanced 3 [returning Advanced 2 and 3]: Quadratic residues Handouts: AMC 10/12 Training: Geometry miscellaneous geometry practice from past amc 10/12 examsHandouts: worksheetAMC 8 Training: Practice Test - AMC 10! Handouts: Beginners 1A [returning Beginners 1A]: Chapter 3 Welcome to Spring quarter! We will start chapter 3 of the book. Beginners 1B [returning Beginners 1B]: Book 2, Lesson 1 -- Ciphers We will introduce the subject of ciphers and practice coding and decoding our own messages.Beginners 1C [returning Beginners 1C]: Chapter 3 Welcome to Spring quarter! We will start chapter 3 of the book. Beginners 2A [returning Beginners 2A]: Vector Addition and Geometric Proofs Students will review past vector concepts from last quarter: addition, subtraction, and resizing, and apply them into geometric proofs.Handouts: Beginners 2B [returning Beginners 2B]: Physics and Vectors 3 More practice with vector addition, subtraction and scaling.Handouts: Vectors and Physics 3BNP A [Breaking Numbers Into Parts, class A]: Lesson 14 Inverse Operations BNP B [Breaking Numbers Into Parts, class B]: Lesson 14 Inverse Operations Intermediate 1A [returning Intermediate 1A]: Week 1: Exponents and Logarithms Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will introduce the concepts of exponents and logarithms.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Exponents and Logarithms Introducing exponents and logarithms, understanding the relationship to one another, and preparing for financial interest calculations. Handouts: Intermediate 2A [returning Intermediate 2A]: Introduction to Cryptology Handouts: Intermediate 2B [returning Intermediate 2B]: Cryptography Handouts: Olympiads: Factorization We return to number theory, and solve some problems with factorization and gcds.Handouts: 4/7/2024 Advanced 1A [returning Advanced 1A]: Mathematics of bookmaking Handouts: HandoutAdvanced 1B [returning Advanced 1B]: The Math Behind Bookmaking Handouts: Solutions | HandoutAdvanced 2 [returning Advanced 2 and 3]: De Bruijn Sequences Handouts: Advanced 3 [returning Advanced 2 and 3]: Cryptography Handouts: AMC 10/12 Training: Number Theory Review of some important AMC 10/12 number theory concepts, with practice problemsHandouts: worksheetAMC 8 Training: Triangles Handouts: Beginners 1A [returning Beginners 1A]: Chapter 4: functions We will discuss functions. Chapter 4 of the book.Beginners 1B [returning Beginners 1B]: Book 2 - Lesson 2 We will have a second lesson on ciphers.Beginners 1C [returning Beginners 1C]: Chapter 4: functions We will discuss functions. Chapter 4 of the book.Beginners 2A [returning Beginners 2A]: Vectors and Physics Students will use their knowledge of vectors to learn about the Newtonian Laws of Motion.Handouts: Beginners 2B [returning Beginners 2B]: Vectors and Physics 4 Handouts: Vectors and Physics PacketBNP A [Breaking Numbers Into Parts, class A]: Lesson 14 Inverse Operations Continued BNP B [Breaking Numbers Into Parts, class B]: Lesson 14 inverse Operations Continued Intermediate 1A [returning Intermediate 1A]: Week 2: Induction Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will explore proof by induction.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Induction Conceptual understanding of induction and problem-solving using inductive hypothesis.Handouts: Intermediate 2A [returning Intermediate 2A]: Slide Rules Handouts: Intermediate 2B [returning Intermediate 2B]: Slide Rules Handouts: Olympiads: Factorization 2 We'll pick up last week's theme of factorization, but instead of focusing on gcds, we focus on direct applications of unique factorization into primes.Handouts: 4/14/2024 Advanced 1A [returning Advanced 1A]: Algorithms on Graphs: Flow Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Algorithms on Graphs: Flow Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Partial Derivatives Handouts: Advanced 3 [returning Advanced 2 and 3]: Cryptography II Handouts: AMC 10/12 Training: Algebra Various AMC 10/12 problems, with a focus on algebra-related problems (polynomials, solving inequalities/equations/modular congruences, etc.)Handouts: worksheetAMC 8 Training: Trigonometry Handouts: Beginners 1A [returning Beginners 1A]: Chapter 5: Functions part 2 We will cover chapter 5 and go further in depth into functions. Beginners 1B [returning Beginners 1B]: Lesson 3 - Recap on codes and quiz We will review the materials on codes from the last two classes, and do a short quiz. Remember to bring your Cesar cipher disk to class!Beginners 1C [returning Beginners 1C]: Chapter 5: Functions part 2 We will cover chapter 5 and go further in depth into functions. Beginners 2A [returning Beginners 2A]: Vectors and Physics Students will continue to learn about the Newtons Three Laws of Motion, specifically focusing on the third law. They will complete practice problems about pulley systems. Beginners 2B [returning Beginners 2B]: Vectors and Physics 4 (Continued) Continuing the study of Newton's Laws in packet 4 (focusing on his 2nd and 3rd laws, along with practicing acceleration).BNP A [Breaking Numbers Into Parts, class A]: Complete Lesson 14 Inverse Operation BNP B [Breaking Numbers Into Parts, class B]: Complete Lesson 14 Inverse Operations Chess club: Meeting #1 Spring Intermediate 1A [returning Intermediate 1A]: Week 3: Financial Literacy Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will talk about investments and interest.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Financial Literacy Part 1: Investment, Interest, Time Value of Money, and Future Value A comprehensive introduction to financial literacy series, starting with the concept of investment, interest, and the time value of money.Handouts: Intermediate 2A [returning Intermediate 2A]: Finite Fields Handouts: Intermediate 2B [returning Intermediate 2B]: Finite fields Handouts: Olympiads: Multiplicative Functions We will study multiplicative functions such as the sum-of-divisors function and Euler's totient function, and use them to solve Olympiad number theory problems.Handouts: 4/21/2024 Advanced 1A [returning Advanced 1A]: The number e Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: The number e Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Tropical Polynomials Handouts: Advanced 3 [returning Advanced 2 and 3]: elliptic curves Handouts: AMC 10/12 Training: Combinatorics Assorted AMC 10/12 combinatorics practice problemsHandouts: worksheetAMC 8 Training: Sequences and Series Handouts: Beginners 1A [returning Beginners 1A]: Chapter 6 and Quiz 2 We will complete chapter 6, and then take the quiz 2. Beginners 1B [returning Beginners 1B]: Lesson 4 and lesson 5 -- Functions We will continue our discussion of functions, with definitions and lots of examples.Beginners 1C [returning Beginners 1C]: Chapter 6 and Quiz 2 We will complete chapter 6, and then take the quiz 2. Beginners 2A [returning Beginners 2A]: Vector and Physics Review Students will go over the review packet in groups and then take a calmative test to gauge their understanding of the conceptsHandouts: Beginners 2B [returning Beginners 2B]: Physics and Vectors 5 (Review) and Quiz Handouts: Review PacketBNP A [Breaking Numbers Into Parts, class A]: Lesson 15 Plane Reflections and Other Symmetries BNP B [Breaking Numbers Into Parts, class B]: Lesson 15 Plane Reflections and Other Symmetries Chess club: Meeting #2 Intermediate 1A [returning Intermediate 1A]: Week 4: Present Value and Discounting Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will talk about present value of money and discounting.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:Sections 1, 2 and 3 in this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Financial Literacy Part 2: Present Value, Discounting and Multiple Payment Securities An introduction to the concept of present value and discounting with a specific focus on present value calculations for annuities and perpetuities.Handouts: Intermediate 2A [returning Intermediate 2A]: Hat Problems Handouts: Intermediate 2B [returning Intermediate 2B]: Hats problems and Axiom of Choice Handouts: Olympiads: Vector Spaces We learn about vector spaces, and use dimensions of vector spaces to solve competition problems.Handouts: 4/28/2024 Advanced 1A [returning Advanced 1A]: Some Asymptotic Estimates Handouts: HandoutAdvanced 1B [returning Advanced 1B]: Asymptotic Estimates Handouts: HandoutAdvanced 2 [returning Advanced 2 and 3]: Compression Handouts: | Advanced 3 [returning Advanced 2 and 3]: Abelian Groups Handouts: AMC 10/12 Training: Trigonometry AMC 10/12 trigonometry practiceHandouts: worksheetAMC 8 Training: Combinatorics Handouts: Beginners 1A [returning Beginners 1A]: More Solids Chapter 8Beginners 1B [returning Beginners 1B]: Lessons 5 and 6 - Finishing up functions. We will finish up our work on functions. Then, if time permits us to, we will start our next major topic, which is the study of 3D solids. Beginners 1C [returning Beginners 1C]: More Solids Chapter 8Beginners 2A [returning Beginners 2A]: Baricentric coordinates and Line Segments Handouts: Beginners 2B [returning Beginners 2B]: Vectors and Physics: Exam Review and packet 6 Students reviewed their exam on Physics concepts and started a lesson on Barycentric Coordinates.Handouts: Barycentric CoordinatesBNP A [Breaking Numbers Into Parts, class A]: Lesson 15 Plane Reflections and Other Symmetries Continued BNP B [Breaking Numbers Into Parts, class B]: Lesson 15 Pland Reflections and Other Symmetries Continued Intermediate 1A [returning Intermediate 1A]: Week 5: Continued Fractions Class Logistics:We will meet from 4 to 6 pm over Zoom: https://ucla.zoom.us/j/95659914795?pwd=U1dBVG4xNVpON1A0Yit4VG5rYlIzUT09.Class Plan:We will explore representing numbers using continued fractions.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Sections 1, 2 and 3 in last week's handout.Homework Assigned:Section 1 on this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Continued Fractions Handouts: Intermediate 2A [returning Intermediate 2A]: (REMOTE) The Mathematics of Juggling Topic: Intermediate 2A 4/28Time: Apr 28, 2024 03:45 PM Pacific Time (US and Canada)Join Zoom Meetinghttps://ucla.zoom.us/j/92456640968?pwd=amhNajlSUXlES2V5cEZtSVg1akUvZz09Meeting ID: 924 5664 0968Passcode: 112358Join by SIP• 92456640968@zoomcrc.comHandouts: Intermediate 2B [returning Intermediate 2B]: Juggling Handouts: | Olympiads: Matrices We pick up the linear algebra theme from last week. This time, will look at matrices, and the functions they define between vector spaces.Handouts: Handout 5/5/2024 Advanced 1A [returning Advanced 1A]: 5D Chess Advanced 1B [returning Advanced 1B]: 5D Chess Advanced 2 [returning Advanced 2 and 3]: [ONLINE] The natural number game Today, we'll play with the LEAN proof assistant.Advanced 3 [returning Advanced 2 and 3]: 5d chess over zoom AMC 10/12 Training: Algebra AMC 10/12 practice problems related to algebraHandouts: worksheetAMC 8 Training: Piecewise Functions! Handouts: Handout | Practice ProblemsBeginners 1A [returning Beginners 1A]: Chapter 8 we will finish chapter 8.Beginners 1B [returning Beginners 1B]: Lesson 7 - 3D geometry - and functions quiz We will do a short quiz on functions, and begin the study of 3D geometry. Please bring blank cubes to class.Beginners 1C [returning Beginners 1C]: Chapter 8 we will finish chapter 8.Beginners 2A [returning Beginners 2A]: Barycentric Coordinates and Line Segments Students will finish learning about balancing torque in the Barycentric packet and then begin the Geometry in Problems book. Beginners 2B [returning Beginners 2B]: 5D Chess Students played 5D chess against instructors and amongst each other.Handouts: Barycentric CoordinatesBNP A [Breaking Numbers Into Parts, class A]: Lesson 16 Conjugation of Young Diagrams BNP B [Breaking Numbers Into Parts, class B]: Lesson 16 Conjugation of Young Diagrams Intermediate 1A [returning Intermediate 1A]: Week 6: 5D Chess Class Logistics:We will meet from 4 to 6 pm over Zoom: https://ucla.zoom.us/j/99291091244?pwd=SzIwbFpuZmtqZVY4alZyc0VYUlpGdz09.Class Plan:We will explore an exciting variation of a classic game.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Sections 1 in last week's handout.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Intermediate 1B [returning Intermediate 1B]: 5D Chess A variation on the classic game. We will meet from 4 to 6 pm over Zoom: https://ucla.zoom.us/j/99700609296?pwd=VW9ENW9GRkJPcENDV2J4Z1lINDBJQT09Intermediate 2A [returning Intermediate 2A]: (REMOTE) Errors Handouts: Intermediate 2B [returning Intermediate 2B]: Errors Handouts: Olympiads: Affine Transformations We will study operations called affine transformations, and use them to simplify competition problems in geometry.Handouts: 5/12/2024 Advanced 1A [returning Advanced 1A]: Linguistics Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Linguistics Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Surfaces Handouts: Advanced 3 [returning Advanced 2 and 3]: Topics on elliptic curves Handouts: AMC 10/12 Training: Combinatorics More combinatorics practiceHandouts: worksheetAMC 8 Training: Practice Test! Beginners 1A [returning Beginners 1A]: Chapter 9 We will begin chapter 9Beginners 1B [returning Beginners 1B]: Lesson 8 - Projection and 3D geometry We will continue our study of 3D geometry, using projections to study more complicated constructions made from cubes. If the class is in person we will also do a short quiz to review our understanding of functions.Beginners 1C [returning Beginners 1C]: Chapter 9 We will begin chapter 9Beginners 2A [returning Beginners 2A]: 5D Chess Students will play a unique game called 5D multi travel chess and solve puzzles in groups Beginners 2B [returning Beginners 2B]: Barycentric Coordinates (Continued) Finishing the packet, along with additional problems to ensure comprehension.BNP A [Breaking Numbers Into Parts, class A]: Lesson 16 Conjugation of Young Diagrams BNP B [Breaking Numbers Into Parts, class B]: Lesson 16 Conjugation of Young Diagrams Intermediate 1A [returning Intermediate 1A]: Week 7: Probability, A Reintroduction Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will have a review of basic probability concepts, followed by a discussion on conditional probability, independence and expectation.Required Resources:Pencils, eraser, and scratch paper.Homework Due:None.Homework Assigned:Finish all problems through Section 4 on this week's handout.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Financial Literacy Part 3: A Reintroduction to Probability and the Expected Return of Financial Assets An introduction to the fundamentals of probability theory alongside an exploration of how mathematical expectation connects to expected return in finance.Handouts: Intermediate 2A [returning Intermediate 2A]: Tiling and Coloring Handouts: Intermediate 2B [returning Intermediate 2B]: Tiling Problems Handouts: Olympiads: Advanced Pigeonhole Principle We will solve problems with an evergreen Pigeonhole Principle.Handouts: Handout 5/19/2024 Advanced 1A [returning Advanced 1A]: Competition Handouts: Handout | SolutionsAdvanced 1B [returning Advanced 1B]: Competition Handouts: Handout | SolutionsAdvanced 2 [returning Advanced 2 and 3]: Fundamental Groups Handouts: Advanced 3 [returning Advanced 2 and 3]: Symmetric groups AMC 10/12 Training: 5-D Chess By Oleg's recommendation, we will teach students how to play this game (5D Chess w/ Multiverse Time Travel), and students may spend the class playing the game with instructors or other students.AMC 8 Training: Practice Test - AMC 10! Beginners 1A [returning Beginners 1A]: Knights and Liars! Chapter 10 We will finish up chapter 10Beginners 1B [returning Beginners 1B]: Lesson 9 - more 3D shapes We will continue our discussion of 3D shapes, including shortest paths on 3D shapes. Time permitting we will have a short quiz on the material that we have covered so far.Beginners 1C [returning Beginners 1C]: Knights and Liars! Chapter 10 We will finish up chapter 10Beginners 2A [returning Beginners 2A]: Geometry In Problems Chapter 1 and 2: Line Segments, Congruency, and Similarity Students will continue to work through the book, working on mostly Chapter 1 problems. Beginners 2B [returning Beginners 2B]: Physics Review As a final physics lesson for the quarter students covered momentum and kinetic energy, through a packet written by Kyle.Handouts: Physics ReviewBNP A [Breaking Numbers Into Parts, class A]: Lesson 17 Conjugation as Reflection BNP B [Breaking Numbers Into Parts, class B]: Lesson 17 Conjugation as Reflection Chess club: 5/19 Chess Club Session Intermediate 1A [returning Intermediate 1A]: Week 8: Random Walks and Modern Finance Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will start with a review on conditional probability, followed by an introduction to random walks and the Markov property. Finally, we will explore applications of the probability concepts we have studied to modern finance.Required Resources:Pencils, eraser, and scratch paper.Homework Due:Finish all problems through Section 4 on last week's handout.Homework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Handouts: HandoutIntermediate 1B [returning Intermediate 1B]: Financial Literacy Part 4: Continuation of Probability and Modern Finance Start with a review on conditional probability, followed by an introduction to random walks and the Markov property. Continuing to explore various financial asset classes in Modern Finance.Intermediate 2A [returning Intermediate 2A]: Tilings and Generating Functions Handouts: Intermediate 2B [returning Intermediate 2B]: Tiling Problems II This week, we work on more combinatorial problems related to tilings.Handouts: Olympiads: Trigonometry We see how trigonometric identities are useful in competition problems, including those featuring square roots, geometry, and telescoping sums.Handouts: 5/26/2024 Chess club: 5/26 No Chess Club Session Memorial Day weekend, no Chess Club 6/2/2024 Advanced 1A [returning Advanced 1A]: Graduation ceremony for ORMC seniors. Prof. Rahul Roy from UCLA Physics Department will give a guest lecture in MS 4000 A, followed by Q&A. Then ORMC graduating seniors will get their diplomas and presents and possibly share their plans for the future.Advanced 1B [returning Advanced 1B]: Graduation ceremony for ORMC seniors. Prof. Rahul Roy from UCLA Physics Department will give a guest lecture in MS 4000 A, followed by Q&A. Then ORMC graduating seniors will get their diplomas and presents and possibly share their plans for the future.Advanced 2 [returning Advanced 2 and 3]: Graduation ceremony for ORMC seniors. Prof. Rahul Roy from UCLA Physics Department will give a guest lecture in MS 4000 A, followed by Q&A. Then ORMC graduating seniors will get their diplomas and presents and possibly share their plans for the future.Advanced 3 [returning Advanced 2 and 3]: Graduation ceremony for ORMC seniors. Prof. Rahul Roy from UCLA Physics Department will give a guest lecture in MS 4000 A, followed by Q&A. Then ORMC graduating seniors will get their diplomas and presents and possibly share their plans for the future.AMC 10/12 Training: End-of-Year Contest Students will compete in teams solving problems related to topics covered throughout the yearHandouts: worksheetAMC 8 Training: Review Game!! Beginners 1A [returning Beginners 1A]: Final class! Final class of the quarter. Topic is TBD, but it will not be from the book. Beginners 1B [returning Beginners 1B]: Lesson 10 Beginners 1C [returning Beginners 1C]: Final class! Final class of the quarter. Topic is TBD, but it will not be from the book.Beginners 2A [returning Beginners 2A]: Spring Review Game Jeopardy Students will play a review game for the last class of the Quarter Beginners 2B [returning Beginners 2B]: End-of-year game BNP A [Breaking Numbers Into Parts, class A]: Problem 16.19 and Pyramid Puzzle BNP B [Breaking Numbers Into Parts, class B]: Problem 16.19 and Pyramid Puzzle Chess club: 6/2 Chess Club Session Intermediate 1A [returning Intermediate 1A]: Week 9: Finance Games! Class Logistics:We will meet from 4 to 6 pm at Math Sciences 6221.Class Plan:We will end the quarter by playing some fun finance-related board games!Required Resources:NoneHomework Due:NoneHomework Assigned:None.Contact Information:Please reach out to Siddarth Chalasani at darthsid2000@ucla.edu if you have any questions, comments or concerns!Intermediate 1B [returning Intermediate 1B]: Financial Literacy Series Part 5: Quarter End Competition As we approach the end of the quarter, we will play the strategy board game "Acquire", immersing ourselves in the world of powerful real estate tycoons where players compete against each other in a gripping game of manipulation, mergers, and strategic stock trading.Intermediate 2A [returning Intermediate 2A]: 5D chess We are going to be looking into the brilliant game of 5D chess by doing some puzzles and playing friendly matches. Intermediate 2B [returning Intermediate 2B]: 5D Chess Olympiads: Tiling Figures with Polyominoes We'll look at a variety of olympiad-style problems based on the simple premise of tiling a gridded shape with other gridded shapes.Handouts: