Last modified: 22 May 2019 17:07
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)|
|Campus||Old Aberdeen||Sustained Study||No|
- 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
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.
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1 two-hour written examination (80%); in-course assessment (20%).
Informal assessment of weekly homework through discussions in tutorials.
In-course assignments will normally be marked within one week and feedback provided to students in tutorials. Students will be invited to contact Course Coordinator for feedback on the final examination.