Real Analysis (G5145)
Real Analysis
Module G5145
Module details for 2022/23.
15 credits
FHEQ Level 5
Module Outline
• Power series, Taylor series.
• Pointwise and uniform convergence of a sequence of functions.
• Interchange of limit and Integration. Interchange of limit and differentiation.
• Series of functions. Weierstrass M-test.
• Convergence and uniform convergence of a power series. Integration and differentiation term by term.
• Metric spaces. Basic examples. Basic topology. Separability, completeness.
Module learning outcomes
Appreciate rigorous arguments about sequences and series of functions and be able to deploy them in solving problems in analysis;
Understand the concepts and definitions of pointwise and uniform convergence of sequences of functions;
Understand the concepts and definitions of metric spaces, separability and completeness, provide and explain examples and counterexamples.
| Type | Timing | Weighting |
|---|---|---|
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Problem Set | T2 Week 4 | 25.00% |
| Problem Set | T2 Week 6 | 25.00% |
| Problem Set | T2 Week 9 | 25.00% |
| Problem Set | T2 Week 11 | 25.00% |
| Coursework | 10.00% | |
| Coursework components. Weighted as shown below. | ||
| Portfolio | T2 Week 11 | 100.00% |
| Unseen Examination | Semester 2 Assessment | 80.00% |
Timing
Submission deadlines may vary for different types of assignment/groups of students.
Weighting
Coursework components (if listed) total 100% of the overall coursework weighting value.
| Term | Method | Duration | Week pattern |
|---|---|---|---|
| Spring Semester | Lecture | 1 hour | 11111111111 |
| Spring Semester | Lecture | 2 hours | 11111111111 |
| Spring Semester | Workshop | 1 hour | 01111111111 |
How to read the week pattern
The numbers indicate the weeks of the term and how many events take place each week.
Dr Konstantinos Koumatos
Convenor, Assess convenor
/profiles/400859
Dr Myrto Galanopoulou
Assess convenor, Convenor
/profiles/634531
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