REVISION RESOURCES

Video tutorials - lesson 'style' resources for every topic

Past Exam Papers - by topic and organised 'least to most' difficult. Use the link below to find the questions and answers.

Class Notes + worksheets:

#### Partial Fractions and Binomial Theorem

1. Type 1 - distinct, linear factors

2. Type 2 - repeated factor

3. Type 3 - irreducible factor

4. Using algebraic long division

5. Binomial Theorem

6. Factorials and Binomial Coefficients

7. Pascals Triangle

8. Approximation

Skill Worksheets

Partial Fractions

Binomial Theorem

Video

2014 Question 2

2015 Question 1

Past Papers and Solutions

#### Differentiation

Notes

1. Chain, Product and Quotient Rules

2. Differentiating Trig, Exponential and Log Functions

Skill Worksheets

Differentiation

Video

2014 Question 1(a)

2015 Question 2

2015 Question 6

Past Papers and Solutions

#### Integration

Notes

1. Revision of Integrals from Higher

2. Exponential Functions

3. Logarithmic Functions

4. Partial Fractions

5. Trigonometric Functions

6. Substitution

7. Choosing a suitable integral

8. Definite integrals

9. Volume of Solid of Revolution

Skill Worksheets

Integration

Video

2014 Question 10

2014 Question 12

Past Papers and Solutions

#### Functions and Graphs

Notes

1. Functions

2. The Modulus Function

3. Inverse Functions

4. Inverse Trig. Functions

5. Odd and Even Functions

6. Stationary Points and Points of Inflexion

7. Asymptotes

8. Curve Sketching

Skill Worksheets

Functions

Finding Asymptotes

Video

2014 Question 11

2015 Question 14

Past Papers and Solutions

#### Matrices

Notes

1. Introduction to Matrices

2. Gaussian Elimination

3. Redundant, Inconsistent and Ill-Conditioned

4. The Determinant

5. The Inverse

6. The Identity Matrix

7. Matrix Transformations

Skill Worksheets

Matrices

Video

2014 Question 3

2015 Question 5

2015 Question 11

Past Papers and Solutions

## Unit 2

#### Further Differentiation

Notes

1. All notes

Skill Worksheets

Further Differentiation

Video

2014 Question 4

2014 Question 6

2015 Question 4

2015 Question 8

Past Papers and Solutions

#### Further Integration

Notes

1. Integration involving inverse trig functions

2. Integration techniques

3. Integration by Parts

Skill Worksheets

Further Integration

Video

2014 Question 15

2015 Question 10

2015 Question 17

Past Papers and Solutions

#### First Order Differential Equations

Notes

1. Variable Separable method

2. Integrating Factor method

Skill Worksheets

First Order Differential Equations

Video

2015 Question 18

Past Papers and Solutions

First Order Differential Equations | Solutions

#### Complex Numbers

Notes

1. Introduction to Complex Numbers

2. Division and finding square roots

3. Argand Diagram and Polar Form

4. Multiplication and Division in Polar Form

5. De Moivre

6. Polynomial Equations

7. Finding nth Roots

8. Geometrical Interpretation

Skill Worksheets

Complex Numbers

Video

2014 Question 16

2015 Question 13

Past Papers and Solutions

#### Sequences and Series

Notes

1. Arithmetic Sequences

2. Sigma Notation

3. Arithmetic Series

4. Geometric Sequences

5. Geometric Series

6. Infinite Geometric Series

Skill Worksheets

Sequences and Series

Summation

Video

2014 Question 14

2015 Question 3

Past Papers and Solutions

#### Proofs

Notes

1. Direct Proof

3. Induction

4. Induction (summation)

Skill Worksheets

Proofs

Video

2014 Question 7

2015 Question 9

2015 Question 12

Past Papers and Solutions

## Unit 3

#### Second Order Differential Equations

Notes

1. Homogeneous

2. Non-Homogeneous

Skill Worksheets

Second Order Differential Equations

Video

2014 Question 8

2015 Question 16

Past Papers and Solutions

Second Order Differential Equations | Solutions

#### Maclaurin's Theorem

Notes

1. All notes

Skill Worksheets

Maclaurin's Theorem

Video

2014 Question 9

Past Papers and Solutions

#### Vectors

Notes

1. The Vector Product

2. The Scalar Triple Product

3. The Equation of a Line

4. The Intersection of Two Lines

5. The Angle between Two Lines

6. The Equation of a Plane

7. The Angle between a Line and a Plane

8. The Intersection of a Line and a Plane

9. The Angle between Two Planes

10. The Intersection of Two Planes

11. The Intersection of Three Planes

Skill Worksheets

Vectors

Video

2014 Question 5

2015 Question 15

Past Papers and Solutions

Vectors | Solutions

#### Euclidean Algorithm

Notes

1. Division Algorithm

2. Number Bases

Skill Worksheets

Euclidean Algorithm

Video

2015 Question 7

Past Papers and Solutions