ORMC Meetings • 2023-2024 Academic Year

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.

We will review the basics of Boolean algebra.

We will review Boolean algebra properties and apply them to logic problems.

We will study Boolean algebra expressions in disjunctive normal form and use cubes of various dimensions to simplify them.

We will take a break from our normal material and have a fun competition.

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.

We will continue our study on the 15 puzzle, delving more into permutations and learning taxicab geometry.

We will learn basics of graph theory and consider various relevant theorems.

We will warm up with some fun games and then introduce basic probability.

Homework: Finish the handout for week 1 (Problem 17 is optional).

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.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 handout

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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:

TBD

Contact Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

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 Information

Email zhenye@ucla.edu and will652397@gmail.com if you have any questions.

Introducing exponents and logarithms, understanding the relationship to one another, and preparing for financial interest calculations.

Conceptual understanding of induction and problem-solving using inductive hypothesis.

A comprehensive introduction to financial literacy series, starting with the concept of investment, interest, and the time value of money.

An introduction to the concept of present value and discounting with a specific focus on present value calculations for annuities and perpetuities