Pure Mathematics 3
For exam success in CAIE A Level Mathematics (9709)
Get early access and get your exam preparation on track!
This course covers all the topics contained in the most current A Level Mathematics (9709) specification for Pure Mathematics 3. I have developed this course to help you develop logical thinking and problem-solving skills with the eventual result of excelling in your final exams. My paper-centered approach will help you get exposure to exam-style questions as well giving you the techniques required to solve commonly set problems with ease.
Key concepts of each topic explained
Learn how to handle common exam questions
High-quality questions to ensure sufficient practice
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Modulus functions - Introduction
Modulus equations - Worked Examples
Modulus Inequalities - Worked Examples 1
Modulus Inequalities - Worked Examples 2
Modulus graphs
Polynomials
Polynomial division
Polynomial long division
The Factor Theorem
The Remainder Theorem
The Binomial Theorem
The Binomial Theorem - Worked Examples
Partial fractions - Introduction
Partial fractions - Quadratic Factor In the Denominator
Partial fractions - Repeated Factor In the Denominator
Partialising Improper Fractions
Laws of logarithms
Laws of logarithms - Worked Examples
Common Logarithms
The Natural logarithm
Exponential functions
Solving exponential equations
Important results
Important results - Worked Examples
Solving Exponential equations by substitution
Linear Law
Linear Law - Worked Examples
Graphs of Reciprocal Trigonometric Functions
Solving Trigonometric Equations Involving Reciprocal Functions
Trigonometric Identities
Trigonometric Identities - Worked Examples
Solving Trigonometric Equations Involving Double Angle Formulae 1
Solving Trigonometric Equations Involving Double Angle Formulae 2
Compound Angle Formulae
Compound Angle Formulae - Worked Examples
Harmonic Form
Harmonic Form - Worked Examples
Differentiating Exponential and Logarithmic Functions
The Product Rule
The Quotient Rule
Differentiating Trigonometric functions
Differentiating Trigonometric functions - Worked Example
Differentiating Powers of Sine and Cosine
Differentiating Powers of Tan
Parametric Differentiation
Parametric Differentiation - Worked Examples
Implicit Differentiation
Implicit Differentiation - Worked Examples
Differentiating tan-1 x
Integrating Exponential Functions
Integrating Rational Functions 1
Integrating Rational Functions 1 - Worked Example
Integrating Rational Functions 2
Integrating Rational Functions 2 - Worked Example
Integrating Trigonometric Functions
Integrating Trigonometric Functions - Worked Example
Integration By Recognition
Integration By Recognition - Worked Example 1
Integration By Recognition - Worked Example 2
Integrating Rational Functions 3
Integrating Rational Functions 3 - Worked Example
Integration By Parts
Integration By Parts - Worked Example 1
Integration By Parts - Worked Example 2
Integration II - By Substitution
Integration II - By Substitution (Worked 1)
Integration II - By Substitution (Worked 2)
Introduction
Common Graphs
Sketching and Verifying Roots - Worked Example 1
Sketching and Verifying Roots - Worked Example 2
Differentiation and Iterations - Worked Example 1
Differentiation and Iterations - Worked Example 2
Integration and Iterations - Worked Example 1
Integration and Iterations - Worked Example 2
Circular Measure and Iterations - Worked Example 1
Circular Measure and Iterations - Worked Example 2
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