Mathematics With Woody

1.1 Exponential Form of a Complex Number

1.1 Quiz

1.2 Multiplication and Division of Complex Numbers in Exponential Form

1.3 Optional - Justification of Exponential Form

1.4 De Moivre's Theorem - Intro

1.5 Applications of De Moivre's Theorem - Part 1

1.6 Applications of De Moivre's Theorem - Part 2

1.7 Applications of De Moivre's Theorem - Part 3

1.8 Applications of De Moivre's Theorem - Part 4

1.9 A Clever Trick with Exponentials

1.10 Sums of Series of Complex Numbers - Part 1

1.11 Sums of Series of Complex Numbers - Part 2

1.12 Sums of Series of Complex Numbers - Part 3

1.13 Sums of Series of Complex Numbers - Part 4

1.14 Roots of Unity

1.15 Sums of Roots of Unity

1.16 Finding the Roots of Any Complex Complex

1.17 Polygons

1.18 Complex Numbers - Exam Problems

Complex Numbers - Past Paper Pack

2.1 The Method of Differences - Part 1

2.2 The Method of Differences - Part 2

2.3 The Method of Differences - Part 3

2.4 Higher Derivatives

2.5 Maclaurin Series - Derivation

2.6 Maclaurin Series - Part 1

2.7 Maclaurin Series - Part 2

2.8 Standard Results for Maclaurin Series

2.8 Quiz

2.9 Maclaurin Series - Exam Problems

Series - Past Paper Pack

3.1 Introduction to Improper Integrals

3.2 Limit Notation in Improper Integrals

3.3 Convergent vs Divergent Integrals

3.4 The Mean Value of a Function - Derivation

3.5 Calculating the Mean Value of a Function

3.6 The Mean Value of a Transformed Function

3.7 Derivatives of Inverse Trig Functions

3.8 Differentiating Inverse Trig Functions with the Chain Rule

3.9 Functions that Integrate to Inverse Trig Functions - Part 1

3.10 Functions that Integrate to Inverse Trig Functions - Part 2

3.11 Integrating Inverse Trig Functions

3.12 Partial Fractions with Inverse Trig Integrals - Part 1

3.13 Partial Fractions with Inverse Trig Integrals - Part 2

Methods in Calculus - Past Paper Pack

4.1 Volumes of Revolution

4.2 Volumes of Revolution About the Y-Axis

4.3 Parametric Volumes of Revolution

4.4 Modelling with Volumes of Revolution

Volumes of Revolution - Past Paper Question Pack

5.1 Introduction to Polar Coordinates

5.2 Converting Between Polar and Cartesian

5.3 Sketching Polar Curves

5.4 Differentiating Polar Curves - Part 1

5.5 Differentiating Polar Curves - Part 2

5.6 Integrating Polar Curves - Derivation

5.7 Integrating Polar Curves - Part 1

5.8 Integrating Polar Curves - Part 2

5.9 Polar Coordinates - Exam Problems

Polar Coordinates - Past Paper Question Pack

6.1 Introduction to Hyperbolic Functions

6.2 Why is it Hyperbolic?

6.3 Graphs of sinh(x), cosh(x) and tanh(x)

6.4 Solving Simple Hyperbolic Equations

6.5 Inverse Hyperbolic Functions

6.6 Graphs of Inverse Hyperbolic Functions

6.7 Proving Hyperbolic Indentities - Part 1

6.8 Proving Hyperbolic Indentities - Part 2

6.9 Solving Hyperbolic Equations - Part 1

6.10 Solving Hyperbolic Equations - Part 2

6.11 Differentiating Hyperbolic Functions

6.12 Differentiating Inverse Hyperbolic Functions - Part 1

6.13 Differentiating Inverse Hyperbolic Functions - Part 2

6.14 Integrating Hyperbolic Functions - Part 1

6.15 Integrating Hyperbolic Functions - Part 2

6.16 Integrating Hyperbolic Functions - Part 3

6.17 Hyperbolic Functions - Exam Problems

Hyperbolic Functions - Past Paper Question Pack