Welcome to L.C. Maths!

1 – Vectors

2 – 1D Horizontal Motion

3 – Motion due to Gravity

4 – Varying Acceleration

5 – Newton’s Laws and Connected Particles

6 – Work, Power, Energy and Momentum

7 – Impacts and Collisions

8 – Motion in a Circle

9 – Difference Equations

10 – Graph Theory

11 – Spanning Tree Optimisation

12 – Path Optimisation

13 – Project Optimisation

Mathematical Modelling Project

1 – Equations

2 – Functions

3 – Trigonometry

4 – Complex Numbers

5 – Geometry

6 – Coordinate Geometry

7 – Calculus

5 – Probability 1

19 – Probability 2

9 – Sequences, Series, Patterns

10 – Statistics 1

21 – Statistics 2

22 – Inferential Statistics

17 – Financial Maths

Weekly Grinds

Duration: 2 weeks
Learning Objectives
  • The difference between a scalar and a vector
  • What a vector represents
  • The purpose of units
  • The units of the metric system
  • The benefits of prefixes
  • How to represent a vector using an arrow
  • How \(x\)-\(y\) axes help represent an arbitrary vector
  • How to write a vector in polar form
  • How to add vectors using the Triangle Law
  • How to multiply a vector by a scalar
  • How to multiply two vectors using the dot product
  • What unit vectors are
  • How to write a vector in component form
  • How to convert a vector in component form to one in polar form
  • How to convert a vector in polar form to one in component form
  • How to add and multiply vectors in component form
Prerequisites
  • How to manipulate algebra
  • Pythagoras' Theorem
  • Sine, cosine and tangent
Keywords
  • scalar
  • vector
  • unit
  • prefix
  • magnitude
  • axis
  • polar form
  • resultant vector
  • Triangle Law
  • parallel
  • perpendicular
  • dot product
  • decompose
  • component
  • unit vector