Course Content
1 – Introduction to Vectors
0/17
2 – 1D Horizontal Motion
0/17
3 – Motion due to Gravity
0/10
4 – Continuous Change (Calculus)
0/13
5 – Forces and Systems
0/18
6 – Introduction to Energy and Momentum
0/8
7 – Impacts and Collisions
0/8
8 – Uniform Circular Motion
0/11
9 – Difference Equations
0/11
10 – Introduction to Graph Theory
0/8
11 – Path Optimisation
0/7
12 – MST Optimisation
0/4
13 – Project Optimisation
0/11
Digital Lessons

## Overview

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The length of time that we recommend members of each team spend on this topic are as follows:

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Alpha – 20 days

Bravo – 15 days

Charlie – 12 days

Delta – 9 days

Echo – 7 days

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## Learning Objectives

What is meant by a sequence

Relate sequences to discrete changes

Find the general term of a given sequence

Recognise what type a given sequence is

Find the corresponding series for a given sequence

Find the general term of a given series

State when a geometric series converges

Find the value that a geometric series converges to

How to solve first order difference equations

Distinguish between different difference equations

How to solve first order difference equations

Apply difference equations in a variety of fields

How to solve second order homogeneous difference equations

How to solve second order inhomogeneous difference equations

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## Keywords

sequence

first difference

general term

linear/arithmetic sequence

second difference

cubic sequence

common ratio

geometric sequence

series

arithmetic series

geometric series

converge

difference equation

recurrence relation

first order difference equation

second order difference equation

homogeneous

inhomogeneous

characteristic equation

complimentary solution

particular solution

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