Mathematical Analysis
| Code | School | Level | Credits | Semesters |
| MATH2037 | School of Mathematical Sciences | 2 | 10 | Autumn China |
- Code
- MATH2037
- School
- School of Mathematical Sciences
- Level
- 2
- Credits
- 10
- Semesters
- Autumn China
Summary
This module provides an introduction to mathematical analysis building upon the experience of limits of sequences and properties of real numbers gained in MATH1028 and calculus studied in MATH1027. It will include limits and continuity of functions between Euclidean spaces, differentiation and integration.
Target Students
Single Honours students from the School of Mathematical Sciences.
Classes
- One 1-hour seminar each week for 12 weeks
- One 2-hour lecture each week for 12 weeks
Activities may take place every teaching week of the Semester or only in certain weeks.
Assessment
- 10% Inclass Exam 1 (Written): Inclass test
- 90% Exam 1 (2-hour): 2-hour written examination
Assessed by end of autumn semester
Educational Aims
The aim of thismodule is to introduce the main notions and methods of proof in analysis through a mathematically rigorous approach. It follows on from the corecourses MATH1028, where properties of real numbers were introduced, andMATH1027 where knowledge of calculus was extended.Learning Outcomes
A student who completes this module successfully will be able to:
L1 - state and use the main definitions and theorems of mathematical analysis;
L2 - determine the boundary of a set, and whether a set is open, closed, bounded or has other related properties;
L3 - test sequences for convergence, and sequences of functions for uniform convergence;
L4 - determine whether functions are continuous, differentiable, Riemann integrable, or have other related properties;
L5 - give examples of sequences, sets or functions with required properties;
L6 - prove basic propositions in analysis, seen or unseen.
Conveners
- Prof Behrouz Emamizadeh