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MX3035: ANALYSIS III (2021-2022)

Last modified: 31 May 2022 13:05


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?

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?

No

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 30 August 2024 for 1st term courses and 20 December 2024 for 2nd term courses.

Summative Assessments

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)

Formative Assessment

There are no assessments for this course.

Course Learning Outcomes

Knowledge LevelThinking SkillOutcome
ConceptualUnderstandUnderstand definitions and basic concepts of real analysis (real number, limit, continuity, differential, etc.)
ConceptualUnderstandBe fluent computing limits, and differentials, and manipulating elementary functions.

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