**Timing:** Wednesday night 6:30 - 8:00 PM, Weekly for 10 weeks

**Date:** Starting from July 6th 2022

**Workshop Location:** Zoom online class

These Math classes will help students to develop a deeper rooted understanding of methodologies in the high school Math contest.

Homework ( Resources originated from University of Waterloo CEMC).

We will try to cover the following topics as much as we can in the classes.

Number Theory

- Calculation and properties of congruence
- Euler's function
- Fermat's little theorem
- Floor function
- Odd and even numbers
- Number of factors
- Conversion between different numerical systems

Functions and Polynomials

- Abstract functions
- Symmetry
- Vieta 's theorem of high-degree polynomials
- Remainder theorem
- Factor theorem

Sequences and Series

- Recursive expressions
- Fibonacci sequence
- Sum of sequences
- Geometrical series

Algebra

- Binomial theorem
- Factorization and equation
- Basic inequalities

Geometry

- Sine rule and cosine rule
- Similar triangles
- Heron's formula
- Properties of circle
- 3-d geometry

Analytic Geometry

- Equation of straight lines
- Distance between a point and a line
- Equation of circle

Permutation and Combination

- Principle of inclusion and exclusion
- Principle of addition
- Principle of multiplication
- Models of permutation and combination

Probability and Statistics

- Conditional probability
- Complex probability problems
- Basic statistical concepts

Logic and Reasoning

- Word problems
- Comprehension of complex problems
- Conversion of problems

Logarithm

- Rules of logarithm
- Logarithm and exponent
- Equation of logarithm

Complex Numbers and Trigonometry

- Trigonometrical identities
- Maximum and minimum of trig functions
- Polar form and exponential form of complex numbers
- De Moivre's theorem