Welcome to Advanced Higher Maths!

**COURSE PLANNER**

COURSE PLANNER - **not available from April 2021**

The course planner is a week-by-week overview of Advanced Higher Maths and includes:

- An outline of the Course;
- Link to your Home Learning Tasks; and
- Calendar of Curriculum Quizzes and other Assessments.

**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.*

Past Exam Papers - an excellent 'one-stop-shop' collection.* Log in and save your attempts to keep track of your progress! *

Class Notes + worksheets:

#### Partial Fractions and Binomial Theorem

1. Type 1 - distinct, linear factors

3. Type 3 - irreducible factor

4. Using algebraic long division

6. Factorials and Binomial Coefficients

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

#### Differentiation

**Notes**

1. Chain, Product and Quotient Rules

2. Differentiating Trig, Exponential and Log Functions

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

#### Integration

**Notes**

1. Revision of Integrals from Higher

5. Trigonometric Functions

7. Choosing a suitable integral

9. Volume of Solid of Revolution

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

#### Functions and Graphs

**Notes**

6. Stationary Points and Points of Inflexion

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

#### Matrices

**Notes**

3. Redundant, Inconsistent and Ill-Conditioned

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

## Unit 2

#### Further Differentiation

**Notes**

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

Further Differentiation | Solutions

#### Further Integration

**Notes**

1. Integration involving inverse trig functions

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

Further Integration | Solutions

#### First Order Differential Equations

**Notes**

**Skill Worksheets**

First Order Differential Equations

**Video**

**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

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

#### Sequences and Series

**Notes**

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

Sequences and Series | Solutions

#### Proofs

**Notes**

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

## Unit 3

#### Second Order Differential Equations

**Notes**

**Skill Worksheets**

Second Order Differential Equations

**Video**

**Past Papers and Solutions**

Second Order Differential Equations | Solutions

#### Maclaurin's Theorem

**Notes**

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

Maclaurin's Theorem | Solutions

#### Vectors

**Notes**

4. The Intersection of Two Lines

5. The Angle between Two Lines

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**

**Video**

**Past Papers and Solutions**

Vectors | Solutions

#### Euclidean Algorithm

**Notes**

**Skill Worksheets**

**Video**

**Past Papers and Solutions**

Euclidean Algorithm | Solutions | Other