Introductory description

A module intended for students identified by the second year exam board as requiring additional support. Through a combination of classes and individual supervision, students will cover major topics from the core first and second year modules: Foundations, Analysis and Linear Algebra from the first year; and Algebra I and II, Analysis III, Multivariable Calculus, and Norms, Metrics and Topologies from the second year.

Module web page

Module aims

Outline syllabus

This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.

The tutor selects problems related to first year modules and to second year modules where the student's record indicates that further study is desirable. Each week, the student receive an assignment of written work to be handed in. At the following tutorial, the student and the tutor discuss the student's answers and related material.

Learning outcomes

By the end of the module, students should be able to:

• To improve upon your understanding of the material from the first two years, focusing primarily on the topics that you struggled with first time around.

Indicative reading list

Recommendations will depend upon the individual. But, a comprehensive book list will be provided at the start of the course.

Subject specific skills

The main subject-specific skills and knowledge we want students to develop are in core subjects such as analysis (including real analysis, complex analysis, vector analysis and metric spaces) and algebra (linear algebra, group theory, rings and fields).

Transferable skills

The more transferable skills we want students to develop or enhance are a fluency and greater confidence with abstract mathematical thinking and problem-solving, that will ideally feed into their other final-year modules, but are also valued by prospective employers.