Course Description

for secondary 3 and 4 students

Math Arena

The instructor is from Math Arena.The instructor is absolutely passionate about teaching and you'll find the lessons engaging and ultimately rewarding.

Course curriculum

  • 1

    Introduction

    • Welcome
  • 2

    Differentiation and its Applications

    • Algebraic Functions

    • Algebraic Functions with Unknown Constants

    • Algebraic Functions

    • Denominator with Single Term

    • Denominator with Single Term

    • Denominator with Single Term with Expansion

    • Gradient Application

    • Equation of Tangent

    • Chain Rule for Algebraic Functions

    • Chain Rule for Algebraic Functions

    • Product Rule

    • Product Rule

    • Product Rule and Gradient Application

    • Product Rule and Intersection

    • Quotient Rule

    • Quotient Rule with Unknown Constants

    • Equation of Normal

    • Equation of Tangent

    • Solve for Unknown in Curve Equation

    • Equation of Normal and Intersection

    • Equation of Tangent and Length

    • Equation of Tangent Given Gradient

    • Equation of Normal

    • Rate of Change

    • Multivariable Rate of Change

    • Rate of Change and Chain Rule

    • Rate of Change and Chain Rule

    • Rate of Change and Chain Rule

    • Rate of Change and Chain Rule

    • Rate of Change and Chain Rule

    • Rate of Change and Chain Rule

    • Rate of Change Application

    • Increasing Function

    • Increasing Function

    • Increasing Function

    • Decreasing Function

    • Stationary Points and their Nature

    • Proving Existence of Stationary Points

    • Stationary Points and their Nature

    • Stationary Points

    • Multivariable Rate of Change

    • Multivariable Rate of Change

    • Maxima Minima Application

    • Maxima Minima Application

    • Maxima Minima Application Challenging

    • Maxima Minima Application Challenging

    • Differentiation of Cosine Function

    • Differentiation of Tangent Function

    • Differentiation of Sine and Cosine Function

    • Differentiation of Trigonometric Functions and Chain Rule

    • Quotient Rule for Trigonometric Functions

    • Chain Rule for Trigonometric Functions

    • Chain Rule for Trigonometric Functions

    • Chain Rule for Trigonometric Functions

    • Chain Rule for Trigonometric Functions

    • Chain Rule for Trigonometric Functions

    • Differentiation of Exponential Functions

    • Product Rule for Mixed Functions

    • Differentiation of Logarithmic Functions

    • Differentiation of Logarithmic Functions

    • Differentiation of Logarithmic Functions requiring Simplification

    • Differentiation of Logarithmic Functions requiring Simplification

    • Differentiation of Exponential Functions with non-e base

    • Differentiation of Logarithmic Functions with non-e base

    • Maxima Minima Application

    • Increasing Functions

    • Rate of Change

    • Rate of Change and Increasing Functions

    • Equation of Normal and Decreasing Functions

    • Maxima Minima Application
  • 3

    Integration and its Applications

    • Algebraic Functions

    • Constants

    • Algebraic Functions - Surds

    • Algebraic Functions - Expansion

    • Algebraic Functions - Expansion

    • Algebraic Functions - Expansion

    • Algebraic Functions - Expansion

    • Algebraic Fractions with Single Denominator

    • Algebraic Fractions with Single Denominator

    • Algebraic Functions - (ax+b)

    • Algebraic Functions - (ax+b)

    • Equation of Curve

    • Algebraic Functions

    • Algebraic Functions

    • Differentiate hence Integrate

    • Equation of Curve

    • Differentiate hence Integrate

    • Algebraic Fractions - Long Division

    • Algebraic Fractions - Long Division

    • Definite Integrals

    • Definite Integrals

    • Definite Integrals with Unknown Constants

    • Equations with Definite Integrals

    • Manipulation of Limits

    • Sine Function

    • Cosine Function

    • Secant-Squared Function

    • Tangent-Squared Function

    • Cosine Function - (ax+b)

    • Definite Integrals with Trigonometric Functions

    • Differentiate hence Integrate

    • Exponential Function

    • Logarithmic Function

    • Exponential Function

    • Partial Fractions

    • Differentiate hence Integrate

    • Area between Curve and Axes

    • Area between Curve and Line

    • Area between Curve and Axes

    • Area between Curves

    • Area between Curve, Lines and Axis

    • Area between Curves and Axis

    • Area between Curve and Line
  • 4

    Kinematics

    • Instantaneous Rest, Total Distance, Return to Origin

    • Max Velocity, Velocity-Time Graph, Uniform Deceleration

    • Max Velocity, Total Distance

    • Velocity-Time Graph, Total Distance

    • Instantaneous Rest, Average Speed

    • Acceleration, Total Distance

    • Instantaneous Rest, Acceleration, Displacement, Average Speed

    • Return to Origin, Total Distance, Minimum Velocity

    • Instantaneous Rest, Total Distance, Average Speed

    • Instantaneous Rest, Total Distance, Acceleration

    • Minimum Velocity, Average Speed

    • Instantaneous Rest, Displacement, Total Distance

    • Minimum Velocity, Average Speed, Return to Origin

    • Instantaneous Rest, Acceleration

    • Velocity, Total Distance

    • Velocity, Displacement, Total Distance

    • Velocity, Acceleration, Displacement

    • Velocity, Total Distance, Never Rest

    • Initial Position, Velocity

    • Return to Origin, Total Distance