During this course, you will cover the following modules:
You’ll learn algebraic methods and work with mathematical expressions, equations, and functions to solve problems set out in this A Level Maths.
Studying algebraic equations and expressions by considering graphs allows you to build a deeper insight into behaviours.
- Straight lines and circles
Straight lines and circles are two of the most common ways for maths to help model real-life situations. Being able to work with these algebraically allows you to solve abstract and real-world problems.
When a power is applied to a bracket, the resulting expression can be difficult to simplify. The law of binomial expansions is a valuable tool to enable you to do this.
You’ll learn how to proof a mathematical statement – a proof shows that a maths statement is true.
Differentiation is where you find the derivative, or rate of change for a function – solving problems about the shape of graphs, as well as the rate at which real-world values change.
Integration enables you to find the area underneath a graph. You can learn how to calculate areas and volumes in real situations.
- Exponentials and logarithms
The exponential function and the natural logarithm are functions which are the inverse of each other. Modelling exponential growth or logarithmic decline has applications for working out interest rates, viral infections, and population growth to name but a few.
A sequence is a list of numbers which follows a specific rule, and a series is what you get when we add together the terms of a sequence. The applications of this are extremely wide, including applications to the nature of infinity.
Trigonometry studies the relationships between sides and angles in triangles. Since triangles can be added often to theoretical problems such as sketches of graphs, trigonometry can be a very useful and powerful tool with a wide range of applications.
There are times when an approximation is needed, or where algebraically is inefficient. Numerical methods can provide you with tools to approximate in these situations.
Statistical sampling is the process where a predetermined number of observations are taken from a large population, so general facts about the population can be formed with some degree of certainty.
- Interpreting and presenting data
Interpretating and presenting data in an accurate and understandable way is an important tool as well as helping the daily interpretation of facts and figures in the news for example.
- Probability and statistical distributions
Probability is a measurement of how likely something is to happen. Statistical distributions provides us with formulas so we can calculate probabilities.
- Statistical hypothesis testing
Testing the significance between two parameters and deciding if it is significant is important to allow decisions to be made in a wide variety of situations from science to business scenarios.
Kinematics is the study of the movements of points, lines or geometric objects to describe movement.
The relations between the forces and motion of the body are key concepts in theoretical and applied physics.