Mathematics 1B module (MA12001)

Mathematics 1B is the follow on module from Mathematics 1A. It builds on the foundational concepts introduced in Mathematics 1A. You will learn more about mathematical principles and enhance your problem-solving skills. It introduces new core topics including integral calculus, differential equations, and matrices.

This module is part of a series of four modules, Mathematics 1A, 1B, 2A, and 2B, which are the core Mathematics modules in Levels 1 and 2. These modules provide a solid foundation in calculus, algebra, and geometry. You will need these for higher-level mathematics modules.

Mathematics 1B provides essential tools used in various fields. These include physics, economics, and computer science. A solid grasp of mathematical techniques is vital for tackling complex problems in these disciplines. This module lays the groundwork for more advanced maths courses. It ensures students are well-prepared for future studies in a maths or other numerate degree courses.

What you will learn

In this module, you will learn:

• what matrices are and how to do calculations. Whilst the concept of a matrix at first seems simple, they are one of the most versatile structures in mathematics.
• properties of vectors and their relevance to geometrical problems.
• a variety of techniques for integration. Seemingly complicated functions can be integrated by understanding their hidden structure that allows simplification
• what a differential equation is and understand what is required for a function to be a solution of a differential equation. Differential equations are used in almost all areas of applied mathematics. Learning about these unlocks a vast range of applications.

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

• solve systems of equations by using matrices
• understand and solve problems in 3D geometry using vectors
• integrate a wide variety of functions and solve simple differential equations

Assignments / assessment

• coursework (20%)
• final exam (80%)

Teaching methods / timetable

• four one-hour lectures weekly
  • 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
• two hours of tutorials weekly
  • solve problems individually and in groups
  • support with difficulties will be provided by your lecturers and peers