# A-Level Mathematics for Year 13 - Course 2

### What is this course about?

This course has been designed as a Revision of selected topics from the first half of Year 13 in A-level Mathematics. Some of the topics covered are outlined in the section below.

### What are the learning outcomes?

Calculus in Kinematics and Projectile Motion:

• Using calculus for kinematics for motion in a straight line:
• Using calculus in kinematics for motion extended to 2 dimensions using vectors.
• Modelling motion under gravity in a vertical plane using vectors; projectiles.
• Composition of functions
• Inverse functions

Friction, Moments and Equilibrium of rigid bodies:

• Understanding and using the F≤μR
• Model for friction
• The coefficient of friction
• Motion of a body on a rough surface
• Limiting friction
• Understanding and using moments in simple static contexts.
• The equilibrium of rigid bodies involving parallel and nonparallel coplanar forces

The Normal Distribution:

• Understanding and using the Normal distribution as a model
• Finding probabilities using the Normal distribution
• Conducting statistical hypothesis tests for the mean of a Normal distribution with known, given or assumed variance
• Interpreting the results of hypothesis tests in context

Vectors:

• Using vectors in two dimensions and in three dimensions
• Performing the algebraic operations of vector addition and multiplication by scalars
• Understanding the geometrical interpretations of vector calculations
• Understanding and using position vectors
• Calculating the distance between two points represented by position vectors.
• Using vectors to solve problems in pure mathematics.

Differentiation Methods:

• Differentiation using the product rule, the quotient rule and the chain rule
• Differentiation to solve problems involving connected rates of change and inverse functions.
• Differentiating simple functions and relations defined implicitly or parametrically

Integration Methods:

• Integrating e^kx, 1/x, sin(kx), cos(kx) and related sums, differences and constant multiples
• Integration by substitution

### Who is this course aimed at?

This module is relevant for all students studying any STEM subject, particularly those looking to consolidate their existing Maths knowledge.

### How will this course be delivered?

This is an asynchronous module and will be delivered online, via the EdX platform. The course will be available in December and it can be accessed from the links to courses tab of your Microsoft Teams space.

### How much time will the course take up?

The course is designed to take up roughly 2-4 hours per week of your time.