production
Skip to Content

Log In

  1. University Home
  2. Catalogue of Courses
  3. Undergraduate
  4. 2014-2015
  5. Mathematical Sciences
  6. MX3021: FURTHER REAL ANALYSIS

MX3021: FURTHER REAL ANALYSIS (2014-2015)

Last modified: 28 Jun 2018 10:27


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
Term First Term Credit Points 15 credits (7.5 ECTS credits)
Campus None. Sustained Study No
Co-ordinators
  • Dr David Quinn

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

None.

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.

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

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.

Course Learning Outcomes

None.
 

Compatibility Mode

We have detected that you are have compatibility mode enabled or are using an old version of Internet Explorer. You either need to switch off compatibility mode for this site or upgrade your browser.