GCE O-Level Mastering Additional Mathematics Topic by Topic

• STUDENT FRIENDLY - ("What's This'' comments help the weaker students go through the steps in greater detail)
• Designed to help you REMEMBER the key FORMULAE
• GRADED upwards from easiest problems to hardest problems
• Variety of worked examples per topic to help you UNDERSTAND THE KEY CONCEPTS

Contents

• 1 Algebra
• 1.1 Quadratic equations and inequalities
• 1.2 Indices and Surds
• 1.3 Polynomials, remainder & factor theorem
• 1.4 Simultaneous equations in 2 unknowns
• 1.5 Partial fractions
• 1.6 Binomial Expansions
• 1.7 Exponential, Logarithmic and Modulus Functions
• 2 Trigonometric Functions, Identities, Equations, Graphs
• 2.1 Recap of degree and radian measure
• 2.2 Definition of 6 basic trigonometric ratios
• 2.3 Principal values of sin−1x, cos−1x, tan−1x
• 2.4 Solution of trigonometric equations by 3-step / 4-step method
• 2.5 Further solution methods
• 2.6 Graphs of sin x, cos x, tan x
• 2.7 Trigonometric identities
• 3 Geometry Plane & Coordinate Geometry
• 3.1 Coordinate Geometry in 2-Dimensions
• 3.2 Plane geometry and proof of theorems
• 4 Differentiation And Integration
• 4.1 Techniques of Differentiation
• 4.2 Applications of Differentiation
• 4.3 Techniques of integration
• Worked Solutions