Delivery Type | Delivery length / details |
---|---|
Lecture | 22 Hours. (22 x 1 hour lectures) |
Seminars / Tutorials | 5 Hours. (5 x 1 hour tutorials) |
Assessment Type | Assessment length / details | Proportion |
---|---|---|
Semester Exam | 2 Hours (written examination) | 80% |
Semester Assessment | Coursework Mark based on attendance at lectures and tutorials and work handed in | 20% |
Supplementary Assessment | 2 Hours (written examination) | 100% |
On completion of this module, a student should be able to:
1. determine solution sets of elementary inequalities;
2. determine whether or not a set of real numbers is bounded;
3. determine the supremum and infimum of bounded sets;
4. describe the notion of a sequence of real numbers and determine whether sequences are convergent or divergent;
5. apply the standard theorems on convergence of sequences;
6. manipulate sequences defined by recurrence relationships;
7. use the basic tests for convergence of series;
8. state and use the mean-value theorem of the differential calculus, Taylor's theorem and Maclaurin's theorem.
A first course in Mathematical Analysis aims to tackle some of the issues which are glossed over in the development of calculus. The central concepts of limit and continuity will be introduced and used to prove rigorously some of the fundamental theorems in analysis. These ideas play a basic part in the subsequent development of mathematics.
This module aims to tackle some of the issues which are glossed over in the development of the calculus. The central concepts of limit and continuity will be introduced and used to prove rigorously some of the fundamental theorems in analysis. The theoretical aspects of the subject will be developed in conjunction with the techniques required to solve problems.
This module is at CQFW Level 4