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Let me introduce myself first. My name is Derek Liang, and I am from Canada. I hold a bachelor degree in math education, a PhD in math from China and a PhD in applied math from Canada. I have more than twenty years of experience teaching and tutoring math at both secondary school and university levels.

Recently, I am creating some math tutoring videos mainly for math Olympiad, calculus, and high school math. These short videos focus on developing logical thinking and making learning math easier. You are welcome to watch and subscribe to the free math tutoring channel:

**Math Tutoring by Dr. Liang**:

https://www.youtube.com/channel/UCWvb3TYCbleZjfzz8HEDcQQ

The following mini lessons are now available. New videos is usually coming on daily base.

**Math Olympiad:**

1) What Is the Product of Two Huge Numbers?

2) How to Solve this Exponential Equation?

3) How to Evaluate the Difference of High Exponents?

4) How to Find the Sum of Solutions to Nonlinear Equations?

5) How to Solve this Difficult Radical Equation?

6) Finding Integer Solutions to an Exponential Equation?

7) Solving a System of Logarithmic Equations?

8) How to Solve this Special Exponential Equation?

9) How to Solve this Mixed Exponential Equation?

10) Solving an Exponential Equation with Radicals?

11) How to Solve this Algebraic Equation?

12) How to Evaluate this Algebraic Expression?

13) How to Solve this Cubic Equation?

14) How to Factor this Quartic Polynomial?

15) What Is the Value of this Infinite Radical?

16) How to Solve this Quintic Polynomial Related Problem?

17) How to Solve this Mixed System of Exponential and Linear Equations?

18) How to Compare Two Very Large Exponents?

19) Can You Calculate the Square Root Quickly Without Calculator?\

20) How to Solve this Mixed System of Algebraic Equations?

21) Can You Calculate the Square Root Quickly Without Calculator (Part 2)?

22) Solving a Cubic Equation with Two Variables?

23) How to Solve Quadratic Equations Related to Pythagorean Triples?

24) How to Evaluate This Algebraic Expression Wisely?

25) Solving an Algebraic Problem Involved Exponentials?

26) How to Find the Length of the Hypotenuse of a Right Triangle?

**Calculus:**

1) How to Evaluate Definite Integrals: Some Advanced Techniques:

2) Fundamental Theorem of Calculus: A Step-by-Step Approach

3) How to Evaluate Definite Integrals: Trigonometric Substitutions

4) How to Evaluate Definite or Indefinite Integrals: Substitution

5) How to Evaluate Definite or Indefinite Integrals: Integration by Parts

6) A Simple Solution to a Difficult Integral

7) How to Integrate? A Step-by-step Guide

8) How to evaluate this integral quickly?

**High School Math:**

1) Sine or Cosine Writing Sinusoidal Functions Given Graphs

2) Simply Graphing Sine Cosine and Sinusoidal Functions with Transformations

3) Proving Trigonometric Identities: A Straightforward but Powerful Approach

4) Evaluating Trigonometric Ratios: Step-by-Step Procedures

5) Factoring Polynomials: Some Advanced Techniques

6) Factoring Polynomial Expressions: Step-by-Step Procedures

7) Three Methods for Finding the Greatest Common Factor (GCF) of Two or More Integers

8) Three Methods for Finding the Least Common Multiple (LCM) of Two or More Integers

9) How to Find the Inverse of a Function Which Is Not One-to-One?

10) How to Find the Maximum or Minimum of a Quadratic Function?

11) Domain and Range of a Function: an Easy and Practical Approach