Additional Mathematics

Tan Teck Hock, Mar 16, 2014

Table of Contents

  1. A1 Quadratic functions
    1. Completing the square
    2. Graphs of Quadratic Functions in the form y=(x-p)(x-q)
    3. Graphs of Quadratic Functions in the form y=A(x-p)^2+q
  2. A2 Equations and inequalities
    1. Roots of Quadratic Equations
    2. Quadratic Inequalities
    3. Textbook Ex 2C, Qn 11
  3. A3 Surds
  4. A4 Polynomials and partial fractions
  5. A5 Binomial expansions
  6. A6 Exponential and logarithmic functions
  7. G1 Trigonometric functions, identities and equations
    1. ASTC
    2. Trigonometric Graphs
    3. Trigo Graphs (Transformation)
    4. Prove of Addition Formula
  8. G2 Coordinate geometry in two dimensions
    1. Mid-point of a Line Segment
    2. Mid-point of a Line Segment
    3. Area of Rectilinear Figures
    4. Area of Rectilinear Figures
    5. Linear Law Activitiy
    6. Equation of Circle
  9. G3 Proofs in plane geometry
  10. C1 Differentiation and Integration
    1. Differentiation 1st Principles
    2. Increasing and Decreasing Functions
    3. Maximisation - Cone in a Sphere
    4. Derivative of Sine and Cosine Function
    5. Derivative of Logarithm and Exponential Function

1.

A1 Quadratic functions

  • 1. Completing the square
  • 2. Graphs of Quadratic Functions in the form y=(x-p)(x-q)
  • 3. Graphs of Quadratic Functions in the form y=A(x-p)^2+q

1.1.

Completing the square

– Tan Teck Hock

1.2.

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1.3.

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2.

A2 Equations and inequalities

  • 1. Roots of Quadratic Equations
  • 2. Quadratic Inequalities
  • 3. Textbook Ex 2C, Qn 11

2.1.

Roots of Quadratic Equations

– Tan Teck Hock

2.2.

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2.3.

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3.

A3 Surds


    This chapter does not contain any resources yet.

4.

A4 Polynomials and partial fractions


    This chapter does not contain any resources yet.

5.

A5 Binomial expansions


    This chapter does not contain any resources yet.

6.

A6 Exponential and logarithmic functions


    This chapter does not contain any resources yet.

7.

G1 Trigonometric functions, identities and equations

  • 1. ASTC
  • 2. Trigonometric Graphs
  • 3. Trigo Graphs (Transformation)
  • 4. Prove of Addition Formula

7.1.

ASTC

– Tan Teck Hock

7.2.

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7.3.

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7.4.

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8.

G2 Coordinate geometry in two dimensions

  • 1. Mid-point of a Line Segment
  • 2. Mid-point of a Line Segment
  • 3. Area of Rectilinear Figures
  • 4. Area of Rectilinear Figures
  • 5. Linear Law Activitiy
  • 6. Equation of Circle

8.1.

Mid-point of a Line Segment

– Tan Teck Hock

8.2.

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8.3.

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8.4.

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8.5.

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8.6.

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9.

G3 Proofs in plane geometry


    This chapter does not contain any resources yet.

10.

C1 Differentiation and Integration

  • 1. Differentiation 1st Principles
  • 2. Increasing and Decreasing Functions
  • 3. Maximisation - Cone in a Sphere
  • 4. Derivative of Sine and Cosine Function
  • 5. Derivative of Logarithm and Exponential Function

10.1.

Differentiation 1st Principles

– Tan Teck Hock

10.2.

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10.3.

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10.4.

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10.5.

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