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  6. MA2509: ANALYSIS II

MA2509: ANALYSIS II (2015-2016)

Last modified: 25 Mar 2016 11:39


Course Overview

Analysis provides the rigourous, foundational underpinnings of calculus. This course builds on the foundations in Analysis I, and explores the notions of Riemann integrability, Cauchy sequences, sequences of functions, and power series.

The techniques of careful rigourous argument seen in Analysis I will be further developed. Such techniques will be applied to solve problems that would otherwise be inaccessible. As in Analysis I, the emphasis of this course is on valid mathematical proofs and correct reasoning.

Course Details

Study Type Undergraduate Level 2
Term Second Term Credit Points 15 credits (7.5 ECTS credits)
Campus Old Aberdeen Sustained Study No
Co-ordinators
  • Dr Aaron Tikuisis

Qualification Prerequisites

None.

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

  • Any Undergraduate Programme (Studied)
  • MA2009 Analysis I (Studied)
  • Either Programme Level 1 or Programme Level 2

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

- Riemann integrability: Riemann sums, basic properties, the Fundamental Theorem of Calculus, improper integrals
- Cauchy sequences: Cauchy's characterisation of convergent sequences, Cauchy criterion for series, rearrangements of series
- Sequences of functions: pointwise convergence, uniform convergence, properties of limits of functions, Dini's Theorem, series of functions
- Power series: convergence, continuity, differentiability, integrability, Taylor series, manipulations of power series

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

1 two-hour written examination (80%); in-course assessment (20%).

Formative Assessment

Informal assessment of weekly homework through discussions in tutorials.

Feedback

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.

Course Learning Outcomes

None.
 

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