Fundamental Algebra and Calculus module (MA11002)

Algebra and calculus are essential branches of mathematics and for most students are the main areas of maths they have seen at high school.

Algebra involves manipulating expressions and solving equations.

Calculus focuses on change and motion, with methods to analyse rates of change and calculate areas under curves.

Mathematics is in its nature a hierarchical subject where layers of knowledge rely upon existing knowledge. This makes it particularly important that you don't have any gaps in knowledge of high school maths. This module provides a refresh of much of the maths taught at high school. This gives you the best chance of success with new topics in other maths modules.

What you will learn

In this module you will revise topics from high-school maths including:

• algebraic manipulation
• solving equations and inequalities
• functions
• trigonometry
• vectors
• differentiation
• integration

By the end of this module you will be able to:

• solve equations including quadratic, polynomial, simultaneous, and trigonometric equations
• work with various mathematical structures such as functions and vectors
• differentiate and integrate basic functions and apply the results

Assignments / assessment

• coursework (50%)
• final exam (50%)

Teaching methods / timetable

Throughout the module, you'll have access to structured support and resources. This will help you engage effectively with the material. This includes:

• Three two-hour classes weekly. These involve the presentation of material by the lecturer and time for students to attempt to solve problems
• Key points of the week's content will be discussed
• Lecture notes covering the full module content will be available before classes
• In-class time will be prioritised for interactive discussion
• You'll solve problems individually and in groups
• Support with difficulties will be provided by your lecturers and peers