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 – 32 days

Bravo – 25 days

Charlie – 19 days

Delta – 15 days

Echo – 11 days

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## Learning Objectives

That the derivative of a function corresponds to the slope of the tangents to that function

How the SUVAT variables relate to each under non-uniform acceleration

How to use the rules of known derivatives

Why only some derivatives are constant

Why the derivative of a constant is zero

How to find unknown derivatives using known derivatives

How to use the product rule

How to use the chain rule

Why derivatives are rates of change

Why derivatives are useful outside of mechanics

That the integral of a function corresponds to the area of that function

What is meant by a indefinite integral

How to use the rules of known integrals

Why constants of integration are necessary

What is meant by a definite integral

How to calculate definite integrals

How to find unknown integrals using known integrals

How to perform integration by parts

How to use the LIATE rule

How to perform integration by substitution

How to solve separable first order differential equations

How to derive the SUVAT equations using calculus

State the calculus versions of the SUVAT equations

How to solve separable second order differential equations

How to describe the motion of an object under non-uniform acceleration

How to use derivatives in fields outside of mechanics

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## Keywords

tangent

derivative

differentiate

calculus

dependent variable

independent variable

function

product rule

chain rule

rate of change

integral

indefinite integral

constant of integration

definite integral

integration by parts

LIATE rule

integration by substitution

differential equation

first order derivative

separation of variables

second order derivative

proportional

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