Last modified: 31 May 2022 13:05
Analysis provides the rigourous, foundational underpinnings of calculus. The focus of this course is multivariable analysis, building on the single-variable theory from MA2009 Analysis I and MA2509 Analysis II. Concepts and results around multivariable differentiation are comprehensively established, laying the ground for multivariable integration in MX3535 Analysis IV.
As in Analysis I and II, abstract reasoning and proof-authoring are key skills emphasised in this course.
| Study Type | Undergraduate | Level | 3 |
|---|---|---|---|
| Term | First Term | Credit Points | 15 credits (7.5 ECTS credits) |
| Campus | Aberdeen | Sustained Study | No |
| Co-ordinators |
|
||
Course Aims
To provide students with the basic knowledge of the modern mathematical analysis.
Main Learning Outcomes
-Understand definitions and basic concepts of real analysis (real number, limit, continuity, differential, etc.)
-Be fluent computing limits, and differentials, and manipulating elementary functions.
Course Content
-Euclidean spaces: metric structure, topology
- Functions between Euclidean spaces: limits, continuity
- Differentiability of functions between Euclidean spaces
- The chain rule, the Inverse Function Theorem, and the Implicit Function Theorem
- Applications of differentiation
Information on contact teaching time is available from the course guide.
First Attempt
3x Assessments (assignments or online tests or a mixture of the two) 1x30%, 1x30%, 1x40%
Alternative Resit Arrangements
Resubmission of failed elements (pass marks carried forward)
There are no assessments for this course.
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Conceptual | Understand | Understand definitions and basic concepts of real analysis (real number, limit, continuity, differential, etc.) |
| Conceptual | Understand | Be fluent computing limits, and differentials, and manipulating elementary functions. |
We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.
