IGCSE Additional Mathematics (Cambridge)

Current Status

Not Enrolled

Price

Closed

Get Started

This course is currently closed

Course Content

Expand All

01 Function

1.1 Definiton of funtion

1.2 Composite function and inverse function

1.3 Modulus function

02 Simultaneous Equations and Quadratics

2.1 – One linear and one non-linear simultaneous equation

2.3 – Graphs of y = |f(x)| where f(x) is quadratic

2.4 – Quadratic inequalities

2.5 – Roots of quadratic equations

3.1 Operations of polynomial

3.2 The factor theorem

3.3 Cubic expressions and equations

03 Factors and Polynomials

3.4 The remainder theorem

4.1 Solving modulus equation

4.2 Solving modulus inequalities

4.3 Sketching graphs of cubic polynomials and their moduli

04 Equations, Inequalities and Graphs

4.4 Solving cubic inequalities graphically

6.1 Logarithm

6.2 Solving logarithmic equations

6.3 Solving exponential equations

06 Logarithmic and Exponential Functions

6.4 Practical applications of exponential equations

6.5 The graphs of simple logarithmic and exponential functions

7.1 Problems involving length of a line and midpoint 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Problems involving length of a line and midpoint

7.2 Parallel and perpendicular lines 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Parallel and perpendicular lines

7.3 Equations of straight lines 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Equations of straight lines

07 Straight-line graphs

7.4 Areas of rectilinear figures 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Areas of rectilinear figures

7.5 Converting from a non-linear equation to linear form 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Converting from a non-linear equation to linear form

7.6 Converting from linear form to a non-linear equation 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Converting from linear form to a non-linear equation

7.7 Finding relationships from data 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Finding relationships from data

8.1 Circular measure

8.2 Length of an arc

8.3 Area of a sector

08 Circular measure

9.1 Angles between 0° and 90°

9.2 The general definition of an angle

9.3 Trigonometric ratios of general angles

09 Trigonometry

9.4 Graphs of trigonometric functions

9.5 Graphs of y = lf(x) I, where f(x) is a trigonometric function

9.6 Trigonometric equations

9.7 Trigonometric identities

9.8 Further trigonometric equations

9.9 Further trigonometric identities

10.1 Factorial notation

10.2 Arrangements 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

10.2.1 Arrangement

10.3 Permutations 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

10.3.1 Permutation

10 Permutations and combinations

10.4 Combinations 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

10.4.1 Combination

11.1 Pascal’s triangle

11.2 The binomial theorem

11.3 Arithmetic progressions 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Arithmetic progressions

11.4 Geometric progressions 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Geometric progressions

11 Series

11.5 Infinite geometric series 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Infinite geometric series

11.6 Further arithmetic and geometric series

12.1 The gradient function

12.2 The chain rule

12.3 The product rule

12.4 The quotient rule

12 Differentiation 1

12.5 Tangents and normals

12.6 Small increments and approximations

12.7 Rates of change

12.8 Second derivatives

12.9 Stationary points

12.10 Practical maximum and minimum problems

13.1 Further vector notation 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

13.1.1 Further vector notation

13.2 Position vectors 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

13.2.1 Position vectors

13.3 Vector geometry 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

13.3.1 Vector geometry

13.4 Constant velocity problems 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

13.4.1 Constant velocity problems

13 Vectors

14.1 Derivatives of exponential functions

14.2 Derivatives of logarithmic functions

14.3 Derivatives of trigonometric functions

14.4 Further applications of differentiation

14 Differentiation 2

15.1 Differentiation reversed

15.2 Indefinite integrals 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Indefinite integrals

15.3 Integration of functions of the form (ax+ b)ⁿ 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Integration of functions of the form (ax+ b)ⁿ

15.4 Integration of exponential functions 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Integration of exponential functions

15 Integration

15.5 Integration of sine and cosine functions 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Integration of sine and cosine functions

15.6 Integration of functions of the form 1/x and 1/ax+ b 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Integration of functions of the form 1/x and 1/ax+ b

15.7 Further indefinite integration 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Further indefinite integration

15.8 Definite integration 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Definite integration

15.9 Further definite integration 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Further definite integration

15.10 Area under a curve 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Area under a curve

15.11 Area of regions bounded by a line and a curve 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Area of regions bounded by a line and a curve

16.1 Applications of differentiation in kinematics

16.2 Applications of integration in kinematics

2022 February-March 2 Topics

Expand

Lesson Content

0% Complete 0/2 Steps

2022 Feb-Mar P12

2022 Feb-Mar P22

Combine Questions 1 Topic

Expand

Lesson Content

0% Complete 0/1 Steps

Permutation and Combination – Combine Questions

16 Kinematics

Exam Style Questions

2.6 Intersection of a line and a curve

Pass Exam Papers

2.2 Maximum and minimum values of a quadratic function