Board-casts on YouTube

Free Math Lessons from numberskill

numberskill’s board-casts are free math tuition lessons on YouTube. These videos are based on Singapore’s GCE O levels and A levels (H2) math syllabus. numberskill’s YouTube channel was added to YouTube EDU, a free source of quality educational content from around the globe. Check out numberskill's YouTube channel!

Consider this scenario:

You have a math test tomorrow but your next math tuition class is on the day after tomorrow. Worse, you forgot how to solve rates of change problems. You tried reading the textbook but you forgot what your teacher taught in class. Looks like you’re not going to do well for the dreadful math test. Ever felt as helpless as this?
 
numberskill’s board-casts are here to help! Anytime, anywhere, any computer (as long as you can access YouTube).
Board-cast is for FREE, for ALL. Through Board-casts, Gary hopes to help students who can’t afford the time or money to go for math tuition classes. It is also a practical way to give back to society and to spread knowledge of math to all who want to learn beyond the shores of Singapore.

Board-casts available

“O” Levels board-casts

Integration - How to integrate a rational function? \int\frac{f'(x)}{f(x)}dx

Binomial Theorem – An Introduction to the binomial theorem and its relation to the Pascal’s triangle.
Binomial Theorem – The binomial expansion formula.
Binomial Theorem – Example 1 – A basic binomial expansion question to get used to the formula.
Binomial Theorem – Expansion in Ascending or Descending powers of x.
Binomial Theorem – The General Term formula.
Binomial Theorem – Example 2 – Finding the term independent of x.
Binomial Theorem – The nCr formula.
Binomial Theorem – Example 3 – A binomial question that requires the use of the nCr formula.
Binomial Theorem – Example 4 – Expanding 3 terms in a binomial question.
Binomial Theorem – Example 5 – Challenging question with power unknown.
Binomial Theorem – Example 6 – Super Challenging binomial question.
Binomial Theorem - Challenging binomial theorem question.

Partial Fractions – Introduction
Partial Fractions – What is partial fraction?
Partial Fractions – Example 1 (partial fractions with linear factors)
Partial Fractions – Example 2 (partial fractions with repeated linear factor)
Partial Fractions – Example 3 (partial fractions with non-factorizable quadratic factor)
Partial Fractions – Improper Fractions
Partial Fractions – The Cover-Up Rule
Partial Fractions – Example 4 (Cover-Up Rule)

 
Sum of roots, product of roots – Introduction
Sum and Product of Roots – Example 1
Sum and Product of Roots – Find quadratic equations using sum and product of roots – Example 2
Sum and Product of Roots – Example 3
Sum and Product of Roots – Example 4
Sum and Product of Roots – Example 5

Quadratic Equations and Inequalities – Introduction
Quadratic Equations and Inequalities – Example 1 (2 Real and Distinct Roots)
Quadratic Equations and Inequalities – Example 2 (Repeated Root)
Quadratic Equations and Inequalities – Example 3 (No Real Root)
Quadratic Equations and Inequalities – Maximum and Minimum Functions
Quadratic Equations and Inequalities – How to complete the square
Quadratic Equations and Inequalities General Formula
Quadratic Equations and Inequalities – Example 4 (Complete the square and sketch)
Quadratic Equations and Inequalities – Example 5 (Complete the sqaure and sketch)
Quadratic Equations and Inequalities – Example 6 (Complete the sqaure)
Quadratic Inequalities – How to solve quadratic inequalities
Quadratic Inequalities – Example 7 (basic)
Quadratic Inequalities – Example 8
Quadratic Inequalities – Example 9 (important)
Quadratic Inequalities – Example 10 (challenging)
Quadratic Inequalities – Example 11 (line intersect curve)
Quadratic Inequalities – Example 12 (line is tangent to curve)

 
Polynomials – Introduction of Identities
Identities – Example 1 (Expansion and Substitution method)
Identities – Example 2 (Best method)
Identities Example 3 Example using best method
Polynomials – Long Division of Polynomials
Polynomials – The Remainder Theorem
Polynomials – The Remainder Theorem – Example 4 (Basic)
Polynomials – The Remainder Theorem – Example 5 (Basic)
Polynomials – The Remainder Theorem – Example 6 (simultaneous equations)
Polynomials – The Remainder Theorem – Example 7 (same remainder)
Polynomials – The Factor Theorem – Introduction
Polynomials – The Remainder and Factor Theorem – Example 8
Polynomials – The Remainder and Factor Theorem – Example 8 (con’t using long division)
Polynomials – The Remainder and Factor Theorem – Example 8 (con’t using synthetic division)
Polynomials – The Remainder and Factor Theorem – Example 9 (challenging)
Polynomials – Factorization of cubic expressions with example
Polynomials – Factorization of cubic expressions Example 10

 
Matrices – Order of a matrix and square matrix
Matrices – Addition and Subtraction of matrices
Matrices – Multiplication of matrices
Matrices – Matrix multiplication Example 1
Matrices – Matrix equation Example 2
Matrices – Matrix multiplication (uncommon) Example 3, 4
Matrices – Identity Matrix and Determinant of a Matrix
Matrices – The inverse matrix
Matrices – Using matrices to solve simultaneous equations
Matrices – Example 5 (no solution, infinite number of solutions)
Matrices – Matrices Example 6 Word problem

The inverse matrix and the use of matrix to solve simultaneous equations are no longer in the A math syllabus.
 
Trigonometry – The Basic Angle, Reference Angle, Acute Angle
Trigonometry – Signs of Trigonometry Ratios
Trigonometry – Example 1
Trigonometry – Some Special Angles
Trigonometry – Example 2
Trigonometry – Example 3 (draw triangle type)
Trigonometry – Example 4 (draw triangle type)
Trigonometry – The Sine Curve
Trigonometry – The Cosine Curve
Trigonometry – The Tangent Curve
Trigonometry – Example 1 – Sketch the graph of y = 2 cos x – 1
Trigonometry – Example 2 (modulus curves)
Trigonometry – Example 3 – Sketch y = tan 2x

 
Basic Differentiation for O levels.
Differentiation Example 1
Differentiation Example 2 (reciprocal of x)
Differentiation Example 3
Differentiation Example 4 (word problem)
Differentiation Example 5 (word problem)
Differentiation – A Lesson on Chain Rule
Differentiation – Examples on Chain Rule
Differentiation – Product Rule
Differentiation – Product Rule Example 1
Differentiation – Product Rule Example 2
Differentiation – A lesson on Quotient Rule
Differentiation – Quotient Rule Example 1
 
Relative Velocity was taken out of the Singapore GCE O levels Additional Math syllabus since 2007.
Relative Velocity – Introduction
Relative Velocity – Parallel Motion – Example 1
Relative Velocity – Parallel Motion – Example 2
Relative Velocity – Parallel Motion – Example 3
Relative Velocity – Parallel Motion – Example 4
Relative Velocity – Motion in air and water – main concept
Relative Velocity – Relative velocity of motion in water (animation)
Relative Velocity – Motion in air and water Example 1 – River crossing
Relative Velocity – Motion in air and water Example 2 – River crossing
Relative Velocity – Motion in air and water Example 3 – Aircraft with return trip
Relative Velocity – Motion in air and water Example 4 – Interception
Relative Velocity – Relative motion of 2 moving objects
Relative Velocity – Relative motion of 2 moving objects Example 2
Relative Velocity – Relative motion of 2 moving objects Example 3 (Interception)
Relative Velocity – Relative motion of 2 moving objects Example 4 (wind speed)