Compulsory modules

Analysis I

The aims of this module are:

  • To introduce the notion of convergence as this applies to sequences and series.
  • To introduce the notion of continuous function of one real variable.
  • To provide a firm basis for future modules in which the idea of convergence and continuity is used.
  • To help students recognize the necessity and power of rigorous argument.

Calculus I

More information to follow.

Computing and Numerical Methods

The aims of this module are:

  • To learn how to programme in a standard computer programming language.
  • To learn elementary numerical methods and associated theory.
  • To apply numerical methods to solve mathematical problems of appropriate level of difficulty.
  • To implement numerical methods on the computer and to critically interpret numerical results.

Linear Algebra and Geometry I

The aims of this module are:

  • To introduce basic ideas of vector spaces.
  • To introduce linear transformations and explain their relationship to matrices.
  • To provide the basic methods of linear algebra for other modules throughout all mathematics-based programmes.

Mathematical Thinking

The aims of this module are:

  • To develop logical skills.
  • To provide students with an appropriate language for the study of mathematics.
  • To introduce different types of mathematical proof.

Introductory Probability and Statistics

The aims of this module are to:

  • Introduce students to the basic concepts of probability and statistics.
  • Illustrate the relevance of these concepts to practical problem solving.

A part aim for this module is to enable students to become aware of and develop their academic, professional and personal skills through Personal Best. Personal Best is a development programme available to all students at Loughborough University.

Linear Algebra and Geometry II

The aim of this module is to develop further the main concepts of linear algebra.

Mechanics

The aims of this module are to introduce the basic ideas of kinematics and particle dynamics, connecting the mathematics with physical applications.

A part aim for this module is to enable students to become aware of and develop their academic, professional and personal skills through Personal Best. Personal Best is a development programme available to all students at Loughborough University.