C2 Tutorials – MEI A Level Maths

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

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

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

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

Differentiation

Differentiation – Introduction

  1. The gradient function dy/dx
  2. Differentiation - terms of the form axn
  3. The second derivative
  4. Exam Questions - Differentiation: introduction

Tangents and Normals

  1. Equations of tangents and normals
  2. Exam Questions - Tangents and normals

Stationary Points

  1. Stationary points
  2. Nature of a stationary point
  3. Exam Questions - Stationary points
  4. Applications of stationary points
  5. Exam Questions - Applications of stationary points

Increasing and Decreasing functions

  1. Increasing and decreasing functions
  2. Exam Questions - Increasing and decreasing functions

Integration

Integration – Introduction

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

Equations of Curves

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

Definite Integration

  1. Definite integration
  2. Convergent and Divergent Integrals

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

Trigonometry

Trigonometric Ratios

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

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

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

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

Modelling Curves of the form y=kxn and y=kax

  1. Modelling curves - Converting to linear form