Algebra

The resources below revisit complex Maths topics included your STEM course. Watch the videos and work through the exercises to boost your knowledge and understanding. If you need to 'dig deeper', please check the Higher section on the previous page or if you are looking for something more specific, use "Ctrl+F" for a faster search.

Enjoy your learning!

Binomial theorem

• Video: Pascal's triangle and binomial expansion
• Helping Engineers Learn Maths Exercise and Solution Booklet 1

Complex Numbers

Arithmetic

• Video: Adding and subtracting
• Video: Multiplying complex numbers
• Video Complex conjugates and dividing

Exponential form

• Video: Exponential Form Examples : Exam Solutions
• Helping Engineers Learn Maths Exercise and Solution Booklet 2

Modulus-argument form

• Video: Finding modulus and argument
• Helping Engineers Learn Maths Exercise and Solution Booklet 3
• Writing in the modulus-argument form

De Moivre's theorem and roots of complex numbers

• Video: Complex Numbers - Exponential Form Examples
• Helping Engineers Learn Maths Exercise and Solution Booklet 4

Conic Sections

• Video: How to Graph Conic Sections - Circles, Ellipses, Parabolas, Hyperbola
• Helping Engineers Learn Maths Exercise and Solution Booklet 5

Fractions

Partial fractions

• Video: Introduction to partial fraction expansion
• Helping Engineers Learn Maths Exercise and Solution Booklet 6

Numerical Methods

Interval Bisection

• Video: How to perform Interval Bisections
• How to find roots of polynomials using interval bisection: theory and exercises with worked solutions 

Iteration

• Video: Iteration - Solving equations

Newton Raphson Method

• Video: How to use the Newton Raphson method
• Written Resource

Polar Coordinates

Introduction

• Video: Cartesian Coordinates: Polar coordinates 1
• Helping Engineers Learn Maths Exercise and Solution Booklet 7

Parametric Equations

• Video Solving parametric/ Cartesian Equations
• Helping Engineers Learn Maths Exercise and Solution Booklet 8

Sequences and Series

Sequences and series

• Video: Sequences and Series (Arithmetic & Geometric) Quick Review
• Helping Engineers Learn Maths Exercise and Solution Booklet 9

Infinite series

• Video: Finding The Sum of an Infinite Geometric Series
• Helping Engineers Learn Maths Exercise and Solution Booklet 10

Power (Geometric) series

• Video: Power series Khan Academy
• Helping Engineers Learn Maths Exercise and Solution Booklet 11

Binomial series

• Video: Binomial theorem, Algebra II
• Helping Engineers Learn Maths Exercise and Solution Booklet 12