Form 5 Additional Mathematics

1. Progressions
 1.1 Sequences and Series
 1.2 Characteristics of Arithmetic Progression
 1.3 The nth Term of an Arithmetic Progression
 1.4 Sum of the First n Terms of Arithmetic Progressions
 1.5 Characteristics of Geometric Progressions
 1.6 The nth Term of a Geometric Progressions
 1.7 Sum of the First n Terms of Geometric Progressions
 1.8 Sum to Infinity of Geometric Progressions

2. Linear Law
 2.1 Line of Best Fits
 2.2 Application of Linear Law to NonLinear Functions

3. Integration
 3.1 Integration
as the Inverse of Differentiation, Integration of ax and Integration of
the Functions of the Sum/ Difference of Algebraic Terms
 3.2 Integration by Substitution
 3.3 Finding Equation of a Curve from its Gradient Function
 3.4 Definite Integrals
 3.5 Integration as the Summation of Areas
 3.6 Integration as the Summation of Volumes

4. Vectors
 4.1 Definition of Vector and Vector Notation
 4.2 Equality of Two Vectors
 4.3 Multiplication of Vector by a Scalar and the Parallel Condition of Two Vectors
 4.4 Addition of Vectors
 4.5 Subtraction of Vectors
 4.6 Expression of a Vector as the Linear Combination of a Few Vectors
 4.7 Vectors in the Cartesian Coordinates
 4.8 Unit Vector in the Direction of a Vector
 4.9 Addition and Subtraction of Vectors in the Cartesian Coordinates
 4.10 Position Vectors in the Cartesian Coordinates
 4.11 Expression of a Vector as the Linear Combination of a Few Vectors in the Cartesian Coordinates

5. Trigonometric Functions
 5.1 Positive and Negative Angles
 5.2 Six Trigonometric Functions of any Angle
 5.3 Simple Trigonometric Equations
 5.4 Graphs of the Functions of Sine, Cosine and Tangent
 5.5 Basic Trigonometric Identities
 5.6 Formulae of sin (A+B), cos (A+B), tan (A+B), sin 2A, cos 2A and tan 2A

6. Permutations and Combinations
 6.1 rs Multiplication Principle/Rule
 6.2 Permutations
 6.3 Permutation of n Different Objects, Taken r at a Time
 6.4 Combinations

7. Probability
 7.1 Probability of an Event
 7.2 Probability of the Combination of Two Events
 7.3 Probability on Mutually Exclusive Events
 7.4 Probability of Independent Events

8. Probability Distributions
 8.1 Binomial Distribution
 8.2 Normal Distribution

9. Motion Along a Straight Line
 9.1 Displacement
 9.2 Velocity
 9.3 Acceleration

10. Linear Programming
 10.1 region that satisfies a Few Linear Inequalities
 10.2 Problem Interpretation and Formation of the Related Inequalities or Equations
 10.3 Solving Linear Programming Problems using Graphical Method
