MX3035: Analysis III - Catalogue of Courses

MX3035: ANALYSIS III (2020-2021)

Last modified: 05 Aug 2021 13:04

Course Overview

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.

Course Details

Study Type	Undergraduate	Level	3
Term	First Term	Credit Points	15 credits (7.5 ECTS credits)
Campus	Aberdeen	Sustained Study	No
Co-ordinators	Dr William Turner

Qualification Prerequisites

Either Programme Level 3 or Programme Level 4

What courses & programmes must have been taken before this course?

Either MA2005 Introduction to Analysis (Passed) or MA2009 Analysis I (Passed)
Any Undergraduate Programme (Studied)

What other courses must be taken with this course?

None.

What courses cannot be taken with this course?

None.

Are there a limited number of places available?

Course Description

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

Contact Teaching Time

Information on contact teaching time is available from the course guide.

Teaching Breakdown

More Information about Week Numbers

Details, including assessments, may be subject to change until 21st September 2026 for Term 1 and Full Year courses and 8th January 2027 for Term 2 courses.

Summative Assessments

4x assessments (assignments or online tests or a mixture of the two) (25% each)

Alternative Resit Arrangements for students taking course in Academic Year 2020/21

1 x Homework Exercise (100%)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

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.

51cg