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MX3021: FURTHER REAL ANALYSIS (2015-2016)

Last modified: 25 Mar 2016 11:35


Course Overview

The course begins with a recap of the fundamental ideas from Introduction to Analysis to support and reinforce an understanding of the rigorous language of mathematical analysis.  

Topics include the behaviour of sequences and series of real numbers, power series including Taylor’s theorem and uniform convergence of sequences of functions.

Course Details

Study Type Undergraduate Level 3
Session First Sub Session Credit Points 15 credits (7.5 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Dr Luis Santiago

Qualification Prerequisites

None.

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

  • Cauchy sequences, superior and inferior limits.
  • Standard series tests, absolute and conditional convergence.
  • Power series, Taylor's theorem and Taylor series.
  • Uniform convergence of sequences and series of functions.
  • Improper integrals.

Degree Programmes for which this Course is Prescribed

  • BSc Education (Secondary) - Mathematics
  • Mathematics Major

Contact Teaching Time

64 hours

This is the total time spent in lectures, tutorials and other class teaching.

Teaching Breakdown


Assessment

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%). Resit: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment). Only the marks obtained on first sitting can be used for Honours classification.

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 Coordinators for feedback on the final examination.

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