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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

Dear members in this nice community,

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. The following short videos are available. New videos are usually coming on daily base.

You are welcome to watch and subscribe to the free math tutoring channel: **Math Tutoring by Dr. Liang**

**Math Olympiad**

101) **How to Find the Exact Solutions to the Cubic Equation x^3-3x+1=0?**

100) **Ingenious Method for Solving a Difficult Quintic Equation via Substitution**

99) **Cool Tricks for Simplifying the Radical Expression (1+3√2-2√3)/(√2+√3+√6)**

98) **How to Find the Area Between Three Tangent Unit Circles?**

97) **Step-by-step Approach for Solving a System of Quadratic Equations**

96) **Novel Approach for Finding the Sum of Cubes of Solutions to Cubic Equation x^3-x^2+1=0**

95) **Ingenious Tricks for Evaluating the Hexic Algebraic Expression x^6+1/x^6**

94) **Cool Tricks for Simplifying Cube Roots**

93) ** Ingenious Method for Solving Radical Equations **

92) A Practical Way for Solving Math Problems by An Experienced Math PhD | How to Get Better at Math

91) How to Solve the Exponential Diophantine Equation 2^a+4^b+8^c=328? | Integer Solution

90) Cool trick for Solving Algebraic Equations by Reducing the Degree

89) Simple Method for Calculating Exponents Involving Radicals

88) How to Solve Quadratic Equations with Two Variables? | Sum of Squares

87) How to Find the Sum of Squares? | Perfect Square

86) Cool Trick for Evaluating an Algebraic Expression with Three Variables

85) How to Compare Fractions Involving Exponents? | Which One Is Larger?

84) An Ingenious Trick for Evaluating a Tricky Algebraic Expression a^8+7/a^4

83) 90% Give Up! | Which Exponent Is Larger, e^? or ?^e?

82) Cool Trick for Finding the Value of the Algebraic Expression x^2/(x^4-x^2+1)

81) How to Evaluate an Algebraic Expression with Three Variables?

80) Cool Trick for Solving Cubic Equation | difference of squares | difference of cubes

79) How to Find Integer Solutions to the Exponential Equation? | Diophantine Equation

78) How to Solve the Mixed Exponential and Trigonometric Equation?

77) Cool Trick for Finding the Largest Prime Factor | Prime Factorization

76) How to Solve this Special Exponential Equation? | Exponent Rule

75) Finding the Sum of Quartic Numbers Giving the Sum and the Sum of Squares?

74) Number of Real Solutions to the Parametric Cubic Equation x^3-3ax+2=0

73) Simple Method to Compare Two Close Fractions | Which One Is Larger?

72) 90% Give Up! | Cool Tricks for Finding the Area | Circle | Triangle

71) How to Solve Inequalities Involving Powers | Integer solution | Compare Exponents

70) What is the Derivative of x^x? | Implicit Differentiation | Chain Rule | Natural Logarithm

69) How to Solve System of Linear Equations with a Parameter? | Symmetry | Solution

68) How to Solve the Exponential Equation? | Pythagorean Triple | Pythagorean | Solution

67) Solving a Radical Equation with Two Variables? | Rationalization | Perfect Square

66) How to Solve the Exponential Equation x^x=x? | Exponent and base

65) Finding Area of a Circle? | Square | Pythagorean Theorem | Tangent Line | Radius

64) Ingenious Method for Solving Systems of Diophantine Equations | Divisibility | Prime

63) Solutions to Double Quadratic Equation | Perfect Square Formula

62) Evaluating Algebraic Expression Giving a Quadratic Equation | polynomial

61) Full Solution to Diophantine Equation | Sum of Perfect Squares | Integer Solution

60) How to Compare Two Large Numbers? | Which Exponent Is Greater?

59) Square Root of a Large Number | Prime Factorization | Square Number | Perfect Square

58) How Many Integer Solutions Does the Diophantine Equation Have?

57) Sum of Squares of the Solution to Nonlinear Equations? | Quadratic Equation | Cubic Equation

56) Express a Fraction as a Sum of Fractions | Diophantine Equation | Integer Solution

55) What Is Wrong with the Proof 3=0? | Paradox | Cubic Root

54) How to Solve the Triangular Number Puzzle? | Cryptarithm | Riddle

53) How to Solve the Cubic Diophantine Equation? | prime number | integer solution

52) Which Exponent Is Greater? | Compare Two Large Numbers

51) All Integer Solutions to the Diophantine Equation? | Perfect Squares | Pythagorean

50) How to Find the Expression of a Function f(x)?

49) How to Find Integer Solutions to the Exponential Equation? | Diophantine Equation

48) How to Solve the Log Equation Involving Square Roots?

47) How to Find the Difference of a Sextic Polynomial and Its Reciprocal?

46) What is the Area of the Square? | Circle | Pythagorean Theorem

45) How to Solve the Diophantine Equation? | Sum of Perfect Squares

44) Solving an Exponential Equation? | fraction | rational function | Math Olympiad

43) What is the Value of the Algebraic Expression? | Golden Ratio | Conjugate

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?

27) Can You Solve the Cubic Polynomial Equation?

28) Can You Solve the Number Puzzle (Cryptarithm) in 30 Seconds?

29) How to Simplify the Square Root Expression?

30) How to Solve the Quartic Polynomial Equation?

31) How to Solve the System of Exponential Equations?

32) How to Solve the Exponential Equation?

33) How to Find Integer Solutions to the Exponential Equation?

34) How to Solve the Double Cubic Algebraic Equation?

35) How Many Solutions Does the Special Exponential Equation Have?

36) How to Solve this Algebraic Equation by Reducing the Degree via Substitution?

37) Factoring a Quartic Polynomial with Two Terms Over the Real Numbers?

38) What Is the Sum of the Two Reciprocal Exponents?

39) How to Solve a Quartic Polynomial Equation with Average Substitution?

40) How to Solve the Double Exponential Equation 3^5^x = 5^3^x?

41) What is the Value of the Algebraic Expression with Radicals?

42) How to Solve the Nice Exponential Equation?

**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

*Last edited by DrLiangMath (Today 00:10:25)*

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,515

hi Dr Liang,

Welcome to the forum.

Thanks for this link. I'm sure many will find these videos most useful.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

Hi Bob,

Thank you very much for your encouragement and for giving me the chance to post my YouTube link in this nice community.

Derek

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

A new free math tutoring video "How to Find the Inverse of a Function Which Is Not One-to-One?" is now available

https://www.youtube.com/watch?v=2yK9ztPcGWY&t=1s

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**MathIsMagical****Member**- From: Encanto
- Registered: 2022-03-05
- Posts: 10

this is advertising, right?

call me a queen uwu cuz im cute uwu and im better than u guys uwu and i deserve to have a life uwu unlike u guys uwu and im smarter than u cuz i know that 1+1=2 uwu and i am glam uwu i love myself uwu i am galaxy girl uwu i am infinity girl uwu

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**Bob****Administrator**- Registered: 2010-06-20
- Posts: 9,515

The forum rules do state "No Spam. Spam includes messages .... that are .... promotional in nature."

If someone advertises a commercial product I remove the post and usually the member. I have checked out these videos and they are genuinely mathematical teaching aids, offered for free. We have had, for some time, another member regularly posting links to similar material and no one has objected to that. I have, therefore, been happy to allow these links to remain.

Many U tube videos start with a commercial advert. These don't.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Sometimes I deliberately make mistakes, just to test you! …………….Bob

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

Hi Bob, thank you for your support.

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**jabah013.307****Member**- From: Kingdom Of Jabah013.307
- Registered: 2021-07-05
- Posts: 165
- Website

Nice!

Quote Of The Month:

'Whether it's the best of times or the worst of times, it's the only time we've got.' - Art Buchwald.

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

Thanks!

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

** My post has been successful updated! Now you can watch the video you like by simply clicking the link!**

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

Today's new video: **What is the Value of the Algebraic Expression with Radicals? | Math Olympiad**

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

How to Solve the Nice Exponential Equation? | Math Olympiad

*Last edited by DrLiangMath (2022-07-29 23:28:14)*

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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**DrLiangMath****Member**- Registered: 2022-03-24
- Posts: 115

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