##
MA102 Half Unit

Mathematical Proof and Analysis

**This information is for the 2020/21 session.**

**Teacher responsible**

Prof Konrad Swanepoel and Prof Peter Allen

**Availability**

This course is available on the BSc in Actuarial Science and BSc in Mathematics, Statistics and Business. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.

**Pre-requisites**

Students should have taken, or be taking concurrently, the course Mathematical Methods (MA100), * or* the course Quantitative Methods (Mathematics) (MA107).

**Course content**

The course is an introduction to the use of formal definitions and proofs in mathematics, and to basic results of elementary logic, set theory and analysis. Specific topics covered are as follows: Logic, sets and functions, relations, real numbers, infimum and supremum, sequences, limits and continuity.

This course is intended as preparation for a student interested in the application of mathematical concepts and proof to subjects such as computer science (in particular the analysis of algorithms) and economics.

**Teaching**

This course is delivered through a combination of classes and lectures totalling a minimum of 40 hours across Michaelmas Term. This year, some or all of this teaching will be delivered through a combination of virtual classes and lectures delivered as online videos.

**Formative coursework**

Students will be expected to produce 10 problem sets in the MT.

Written answers to set problems will be expected on a weekly basis.

**Indicative reading**

Students may wish to have one of the recommended textbooks:

- N L Biggs, Discrete Mathematics (2nd edn)
**or** - P J Eccles, An Introduction to Mathematical Reasoning, but these are not required.

Further background reading can be found in:

- R Allenby, Numbers and Proofs;
- M Liebeck, A Concise Introduction to Pure Mathematics;
- V Bryant, Yet Another Introduction to Analysis,
*and*; - R Bartle & D Sherbert, Introduction to Real Analysis.

**Assessment**

Exam (90%, duration: 1 hour and 30 minutes) in the summer exam period.

Continuous assessment (10%) in the MT.

**Important information in response to COVID-19**

Please note that during 2020/21 academic year some variation to teaching and learning activities may be required to respond to changes in public health advice and/or to account for the situation of students in attendance on campus and those studying online during the early part of the academic year. For assessment, this may involve changes to mode of delivery and/or the format or weighting of assessments. Changes will only be made if required and students will be notified about any changes to teaching or assessment plans at the earliest opportunity.

** Key facts **

Department: Mathematics

Total students 2019/20: Unavailable

Average class size 2019/20: Unavailable

Capped 2019/20: No

Value: Half Unit

**Personal development skills**

- Self-management
- Team working
- Problem solving
- Application of information skills
- Communication
- Application of numeracy skills
- Specialist skills