S3 Express (AM) Contents
1.1 Quadratic Functions and their Graphs
1.2 Conditions for Quadratic functions to be Always Positive or Always Negative
2.1 Nature of Roots
2.2 Simultaneous Equations
2.3 Quadratic Inequalities
3.1 Four Operations Involving Surds
3.2 Equations Involving Surds
4.1 Four Operations Involving Polynomials
4.2 Remainder and Factor Theorem
4.3 Cubic Polynomials and Cubic Equations
4.4 Partial Fractions
5.1 Exponential Functions
5.2 Exponential Equations
5.3 Logarithmic Functions
5.4 Logarithmic Equations
7.1 Midpoint of Line Segment
7.2 Parallel and Perpendicular Lines
7.3 Area of Rectilinear Figure
7.4 Transformation of Non-Linear Relationship to Linear Form
8.1 Equation of Circle
8.2 Intersection of a Circle and a Line
9.1 Basic Trigonometric Functions
9.2 Graphs of Trigonometric Functions
9.3 Further Trigonometric Functions and Solving of Trigonometric Equations
10.1 Basic Trigonometric Identities
10.2 Addition Formulae
10.3 Double Angle Formulae
10.4 R-Formulae