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MX3035: ANALYSIS III (2019-2020)

Last modified: 25 Sep 2019 09:58


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


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 31 August 2023 for 1st half-session courses and 22 December 2023 for 2nd half-session courses.

Summative Assessments

Exam

Assessment Type Summative Weighting 80
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Homework

Assessment Type Summative Weighting 10
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Homework

Assessment Type Summative Weighting 10
Assessment Weeks Feedback Weeks

Look up Week Numbers

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

Formative Assessment

There are no assessments for this course.

Resit Assessments

Best of written exam (100%) or written exam (80%) with carried forward in-course assessment (20%)

Assessment Type Summative Weighting
Assessment Weeks Feedback Weeks

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Learning Outcomes
Knowledge LevelThinking SkillOutcome
Sorry, we don't have this information available just now. Please check the course guide on MyAberdeen or with the Course Coordinator

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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