Cambridge Mathematics International AS and A Level Pure Mathematics 2
Course

Cambridge Mathematics International AS and A Level – Pure Mathematics 2

2.1 Absolute Value Functions
2.2 Polynomials
2.3 Logarithms
2.4 Reciprocal Trigonometric Functions
2.5 Trigonometric Identities
2.6 Exponential Functions
2.7 Logarithmic Functions
2.8 Trigonometric Functions
2.9 Differentiation
2.A Numerical Approximation

61 Lessons

Course Materials

ABSOLUTE VALUE FUNCTIONS

Simple Absolute Value (Modulus) Equations

Absolute Value (Modulus) Equations: Pronumerals on Both Sides

Linear Inequalities involving Absolute Values

Inequalities involving Absolute Values by Graphs

Absolute Value (Modulus) Graphs

Further Graphs of Absolute Value (Modulus) Functions

POLYNOMIALS

Division of Polynomials

Roots and Zeros

Finding Remainders by Division

Remainder Theorem

Finding Remainders by Remainder Theorem

Factor Theorem

LOGARITHMS

Exponential Equations using Logarithms

Exponential Inequalities using Logarithms

Equations with Natural Logarithms

Inequalities involving Logarithms

Inverses of Natural Logarithms

Exponential Models

RECIPROCAL TRIGONOMETRIC FUNCTIONS

Reciprocal Trigonometric Functions

Equations involving Reciprocal Trigonometric Ratios

Graphs of Reciprocal Trigonometric Functions

TRIGONOMETRIC IDENTITIES

Trigonometric Models

Negative Angle Formulae

Simplifying Trigonometric Expressions

Factorising Trigonometric Expressions

Compound Angle Formula

Sine Double Angle Formula

Cosine Double Angle Formula

Tangent Double Angle Formula

Sums and Products of Sine and Cosine

Transformation Identities

EXPONENTIAL FUNCTIONS

Derivatives of Exponential Functions

Integration of Exponential Functions

Definite Integral of Exponential Functions

LOGARITHMIC FUNCTIONS

Derivatives of Logarithmic Functions

Integration of Rational Functions

Integrations Resulting Natural Logarithmic Functions

Definite Integral of Rational Functions

TRIGONOMETRIC FUNCTIONS

Derivative of Sine Functions

Derivatives of Cosine Functions

Derivatives of Tangent Functions

Integration of Sine and Cosine

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