Mathematics With Woody

1.1 What is a Complex Number

1.1 Quiz - What is a Complex Number?

1.2 Addition and Subtraction of Complex Numbers

1.2 Quiz

1.3 Multiplication of Complex Numbers

1.3 Quiz

1.4 Division and Complex Conjugates

1.4 Quiz

1.5 Calculator Use - Multiplication and Division

1.6 Square Roots of Complex Numbers

1.6 Quiz

1.7 Complex Roots of Quadratics

1.7 Quiz

1.8 Complex Roots of Cubics and Quartics

1.8 Quiz

1.9 The Argand Diagram

1.10 Modulus and Argument

1.10 Quiz

1.11 Modulus-Argument Form

1.11 Quiz

1.12 Multiplication and Division in Modulus-Argument Form - Part 1

1.13 Multiplication and Division in Modulus-Argument Form - Part 2

1.12/1.13 Quiz

1.14 The Geometric Effect of Multiplication, Division and Conjugates

1.15 Complex Loci - Circles - Part 1

1.16 Complex Loci - Circles - Part 2

1.15/1.16 Quiz

1.17 Complex Loci - Bisectors

1.17 Quiz

1.18 Complex Loci - Arguments

1.18 Quiz

Complex Numbers - Exam Questions

Argand Diagrams - Exam Questions

2.1 Sums of Natural Numbers

2.1 Quiz

2.2 Sums of Squares and Cubes - Part 1

2.3 Sums of Squares and Cubes - Part 2

2.2/2.3 Quiz

2.4 Optional Proof of Sums of Squares

Series - Exam Questions

3.1 Roots of Quadratic Equations

3.1 Quiz

3.2 Roots of Cubic Equations

3.2 Quiz

3.3 Roots of Quartic Equations

3.3 Quiz

3.4 Linear Transformations of Roots

3.4 Quiz

3.5 Non-Linear Transformations of Roots

Roots of Polynomials - Exam Questions

4.1 Volumes of Revolution Intro

4.2 Volumes of Revolution Around the X-Axis

4.2 Quiz

4.3 Volumes of Revolution Around the Y-Axis

4.3 Quiz

4.4 Addition and Subtraction of Regions

4.4 Quiz

4.5 Modelling with Volumes of Revolution

4.5 Quiz

Volumes of Revolution - Exam Questions

5.1 Matrices Intro

5.1 Quiz

5.2 Addition and Subtraction

5.2 Quiz

5.3 Multiplication

5.3 Quiz

5.4 Multiplication on the Calculator

5.4 Quiz

5.5 Determinants of 2x2 Matrices

5.5 Quiz

5.6 Singular Matrices

5.6 Quiz

5.7 Determinant of a 3x3 Matrix

5.7 Quiz

5.8 Determinant of a 3x3 Matrix - Part 2

5.8 Quiz

5.9 Calculator to Find Determinant

5.9 Quiz

5.10 Inverse of a 2x2 Matrix - Part 1

5.11 Inverse of a 2x2 Matrix - Part 2

5.10/5.11 Quiz

5.12 Inverse of a 3x3 Matrix - Part 1

5.13 Inverse of a 3x3 Matrix - Part 2

5.12/5.13 Quiz

5.14 Systems of Equations

5.14 Quiz

5.15 Geometric Interpretations of Systems of Equations - Part 1

5.16 Geometric Interpretations of Systems of Equations - Part 2

5.17 Geometric Interpretations of Systems of Equations - Part 3

5.15/5.16/5.17 Quiz

5.18 Reflections

5.18 Quiz

5.19 Rotations

5.19 Quiz

5.20 Enlargements and Stretches

5.20 Quiz

5.21 Successive Transformations

5.21 Quiz

5.22 3d Transformations - Reflections

5.22 Quiz

5.23 3d Transformations - Rotations

5.23 Quiz

5.24 The Inverse of a Transformation

5.24 Quiz

5.25 Invariant Points

5.25 Quiz

5.26 Invariant Lines - Part 1

5.27 Invariant Lines - Part 2

5.26/5.27 Quiz

5.28 Lines of Invariant Points

5.28 Quiz

Matrices - Exam Questions

Matrices - Linear Transformations - Exam Questions

6.1 Proof by Induction - Series - Part 1

6.2 Proof by Induction - Series - Part 2

6.1/6.2 Quiz

6.3 Proof by Induction - Divisibility - Part 1

6.4 Proof by Induction - Divisibility - Part 2

6.3/6.4 Quiz

6.5 Induction on Matrices

6.5 Quiz

Proof by Induction - Exam Questions