C2 Tutorials – OCR A Level Maths

Contents for C2 OCR


Algebra and Functions
Algebraic Long Division
Factor and Remainder Theorem
Logarithmic and Exponential Functions
Exponential Functions and Logarithms
Sequences and Series
Working with Sequences and Series
Arithmetic Progressions
Geometric Series
Binomial Expansion
Trigonometry
Trigonometric Ratios
Trigonometric Graphs and Transformations
Applications of Trigonometry
Trigonometric Equations
Trigonometric Identities
Integration
Integration – Introduction
Equations of Curves
Definite Integration
Applications of Integration – Area bound by a curve
Numerical Integration

Algebra and Functions

Algebraic Long Division

  1. Algebraic long division

Up to Contents

Factor and Remainder Theorems

  1. The factor theorem
  2. How to solve a cubic equation
  3. Exam Questions - Factor theorem
  4. The remainder theorem
  5. Exam Questions - Remainder theorem

Up to Contents

Logarithmic and Exponential Functions

Exponential Functions and Logarithms

  1. Exponential functions: what they are and their graphs
  2. What do we mean by a log?
  3. Rules of logs
  4. Logarithms - Change of Base
  5. Simplifying and expanding
  6. Converting between Logarithmic and Power (Exponential) equations
  7. Modelling exponential growth and decay
  8. Modelling exponential equations | Exam Questions
  9. Exponential and log equations
  10. Simultaneous equations
  11. Solving inequalities
  12. Exam Questions - Logarithms

Up to Contents

Sequences and Series

Working with Sequences and Series

  1. Definition and finding the nth term
  2. Recurrence relationships
  3. Sigma notation
  4. Exam Questions - Recurrence relationships

Up to Contents

Arithmetic Progressions

  1. Arithmetic progressions
  2. Sum of the first n terms
  3. Finding a and d given two terms
  4. Working with consecutive terms
  5. Exam Questions - Arithmetic sequences and series
  6. Examsolutions Beastie - Arithmetic progressions

Up to Contents

Geometric Series

  1. Geometric series
  2. Proof of sum of first n terms, Sn
  3. Sum to infinity
  4. Exam Style Questions - Geometric Series and Progressions
  5. Exam Questions - Geometric series

Up to Contents

Binomial Expansion

  1. Binomial expansion
  2. Exam Questions - Binomial expansion for positive integer powers
  3. Exam Questions - Binomial expansion, comparing coefficients
  4. Exam Questions - Binomial expansion, estimating a value
  5. Exam Questions - Binomial expansion, other

Up to Contents

Trigonometry

Trigonometric Ratios

  1. Trigonometric ratios for 30°, 45° and 60°
  2. Trig ratios for multiples of 30°, 45° and 60°

Up to Contents

Trigonometric Graphs and Transformations

  1. Trigonometric graphs
  2. Translations of trig graphs
  3. Reflections of trig graphs
  4. Stretches of trig graphs
  5. Combining transformations
  6. Exam Questions - Trigonometric graphs and transformations

Up to Contents

Applications of Trigonometry

  1. Area of a triangle - Given two sides and an included angle
  2. Sine rule
  3. Exam Questions - Sine rule
  4. Cosine rule
  5. Radians
  6. Arcs, sectors and segments
  7. Exam Questions - Arcs, sectors and segments

Up to Contents

Trigonometric Equations

  1. Quadrant rule to solve trig equations
  2. Trig equations with different ranges
  3. Trig equations with multiple angles
  4. Trig equations that factorise

Up to Contents

Trigonometric Identities

  1. Using the identities: tanθ ≡sinθ/cosθ and sin²θ+cos²θ ≡1
  2. Using the identities: cos(θ) ≡ cos(-θ), sin(θ) ≡ -sin(-θ)
  3. Solving equations using identities
  4. Exam Questions - Trigonometric identities

Up to Contents

Integration

Integration – Introduction

  1. Integration - Terms of the form axn
  2. Exam Questions - Integration: introduction

Up to Contents

Equations of Curves

  1. Finding the equation of a curve given the gradient function
  2. Exam Questions - Equations of curves

Up to Contents

Definite Integration

  1. Definite integration
  2. Convergent and Divergent Integrals

Up to Contents

Applications of Integration – Area bound by a curve

  1. Area bound by a curve and x-axis
  2. Exam Questions - Area bound by a curve and x-axis
  3. Area bound by a curve and y-axis
  4. Exam Questions - Area bound by a curve and y-axis

Up to Contents

Numerical Integration

  1. Trapezium rule
  2. Exam Questions - Trapezium rule

Up to Contents