F18CE Multivariable Calculus and Real Analysis B

Prof Beatrice PelloniDr Roberto Briones

Course co-ordinator(s): Prof Beatrice Pelloni (Edinburgh), Dr Roberto Briones (Malaysia), Nareddine Megrez (Dubai).

Aims:

The course aims to introduce students to the idea of rigorous mathematical arguments and, in particular, to discuss the rigorous foundations of calculus. An important feature of the course is the use of careful, rigorous proofs of the theorems used and one of the aims of the course is to improve student's ability to understand such arguments and to develop such proofs for themselves. A central concept in analysis is the idea of convergence, either of sequences, series or of functions, and this course aims to introduce this concept and provide the basic results which will be used in later courses. In addition, it will give methods of obtaining inequalities and approximations (with precise estimates of how good the approximations are), tests for convergence of series and power series and ways of identifying functions defined by power series and characterisations of functions (over bounded and unbounded intervals) for which the concept of area under the graph of a function makes sense.

Detailed Information

Course Description: Link to Official Course Descriptor.

Pre-requisite course(s): F17CA Calculus A & F17CB Calculus B .

Location: Dubai, Edinburgh, Malaysia.

Semester: 2.

Assessment Methods: Due to covid, assessment methods for Academic Year 2021/22 may vary from those noted on the official course descriptor. Please see:
- Maths (F1) Course Weightings 2021/22
- Computer Science (F2) Course Weightings 2021/22
- AMS (F7) Course Weightings 2021/22

SCQF Level: 8.

Credits: 15.