Last modified: 05 Oct 2023 08:46
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.
|Session||First Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
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.
-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.
There are no assessments for this course.
|Assessment Weeks||Feedback Weeks|
Best of (resit exam mark) or (resit exam mark with carried forward CA marks).
|Knowledge Level||Thinking Skill||Outcome|
|Conceptual||Understand||Be fluent computing limits, and differentials, and manipulating elementary functions.|
|Conceptual||Understand||Understand definitions and basic concepts of real analysis (real number, limit, continuity, differential, etc.)|