HELM course notes (Helping Engineers Learn Maths ^††)

• Background only

Khan Academy notes and videos

• 5 part lesson

Mathcentre notes and videos ^†

• Cosec, sec, cot

HELM course notes

• Trig identities

Khan Academy notes and videos

• First 4 parts
• 4 part lesson

Mathcentre notes and videos ^†

• Addition formulae (ignore tan formulae)
• Double-angle formulae (ignore tan formulae)

HELM course notes

• Hyperbolic functions and identities

Khan Academy notes and videos

• Video on YouTube

Mathcentre notes and videos ^†

• Definition handout
• Identities handout
• Hyperbolic functions notes

HELM course notes

• Differentiation: a first principles introduction

Khan Academy notes and videos

• Lesson with many sections
  (skip Estimating and Differentiability sections)

Mathcentre notes and videos ^†

• Introduction handout

HELM course notes

• Using tables of standard derivatives with engineering examples

Khan Academy notes and videos

• No specific recommendation

Mathcentre notes and videos ^†

• Table of derivatives handout
• Differentiation rules handout
• Differentiation: maths notes

HELM course notes

• No specific recommendation

Khan Academy notes and videos

• Video and interactive lessons (fairly long)

Mathcentre notes and videos ^†

• The chain rule: a simple and short intro
• Notes on the chain rule

HELM course notes

• Higher derivatives: definitions
• Using higher derivatives: for engineering optimisation

Khan Academy notes and videos

• Modelling rates of change (see HELM links for definitions)

Mathcentre notes and videos ^†

• No specific recommendation. See optimisation section instead

HELM course notes

• Using higher derivatives: for engineering optimisation

Khan Academy notes and videos

• Example: making a box
• Example: folding a box

Mathcentre notes and videos ^†

• Mathematical introduction to optimisation

HELM course notes

• Indefinite integrals: basics rules and table of results
• Definite integrals: basics and engineering examples

Khan Academy notes and videos

• No specific recommendation

Mathcentre notes and videos ^†

• Handout: Integration is 'reverse differentiation'
• Handout: Integration is 'infinite summation'
• Calculating definite integrals

HELM course notes

• No specific recommendation

Khan Academy notes and videos

• Multipart lesson

Mathcentre notes and videos ^†

• Table of standard integrals

HELM course notes

• Finding areas between curves

Khan Academy notes and videos

• Numerous applications of integration (multipart lesson)
• Advanced integration example: volume via cross-section

Mathcentre notes and videos ^†

• No specific recommendation