Module description
This second module on theoretical methods introduces the student to some more of the basic mathematical tools commonly used in the physical sciences, and develops some of the topics used in the first module. Topics covered include differentiation techniques and applications, integration and some of its applications to physics and rate of change problems, sequences, series and matrices. Particular emphasis is placed on the use of matematical techniques to solve physical problems.

Learning outcomes
After taking this module students should be able to:

• Be able to use and apply integration and differentiation with some notion of the relevance of these topics to physics.
• Solve problems on arithmetic and geometric progressions and the Binomial theorem.
• Carry out simple processes using matrices and determinants.

Additional learning activities
The teaching of this module incorporates a large element of self-paced problem solving for both individual and tutorial work. This is essential to consolidate students understanding of the subject matter of the module.

All sessions are compulsory.

Outline syllabus
Differentiation techniques

Applications of differentiation

Integration techniques

Applications of Integration

Sequences and series

Introduction to matrices and determinants