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MA2509: ANALYSIS II (2016-2017)

Last modified: 28 Jun 2018 10:27

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
Session Second Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus Old Aberdeen Sustained Study No
  • Dr Aaron Tikuisis

Qualification Prerequisites


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

  • Any Undergraduate Programme (Studied)
  • MA2009 Analysis I (Studied)

What other courses must be taken with this course?


What courses cannot be taken with this course?


Are there a limited number of places available?


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

Summative Assessments


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

Resit – 1 two-hour written examination paper. Maximum of written exam (100%) or written exam (80%) with carried forward in-course assessment (20%).

Formative Assessment

Informal assessment of weekly homework through discussions in tutorials.


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


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