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MX3035: ANALYSIS III (2022-2023)

Last modified: 31 May 2022 13:20


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
Session First Sub Session 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


Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Contact Teaching Time

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

Teaching Breakdown

  • 2 Lectures during University weeks 8 - 18
  • 1 Tutorial during University weeks 9 - 18

More Information about Week Numbers


Details, including assessment, may be subject to change until 31 July 2022 for 1st half-session courses and 23 December 2022 for 2nd half-session courses.

Summative Assessments

1x Exam (50%)

2x Homework (25% each)

 

Resit

Exam (100%)

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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