## ME-P1 Proof by Mathematical Induction

Summation notation or Sigma Notation

Why we need proof by mathematical induction

Proof by Mathematical Induction: Mathematical Dominoes

Proof by induction partial sums worked examples

Proof by Induction Divisibility proofs

## ME-V1 Introduction to vectors

#### – V1.1 Introduction to vectors

Vectors Introduction

Adding Vectors Graphically

Vectors Multiplying by a scalar

Vectors in 2D and 3D Shapes

Vectors in linear combinations

Vectors in component form

Adding Vectors in component form

Vectors multiplying by a scalar in component form

#### – ME-V1.2 Further Operations with Vectors

Vectors finding the magnitude

Vectors finding the unit vector

Finding direction of a vector

Defining a vector between 2 points

Vector Revision part 1

The dot product part 1

The dot product part 2

The dot product part 3

The scalar product or dot product of a vector revisited