MATH343-15S1 (C) Semester One 2015

Metric, Normed and Hilbert Spaces

15 points

Details:
Start Date: Monday, 23 February 2015
End Date: Sunday, 28 June 2015
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 8 March 2015
  • Without academic penalty (including no fee refund): Sunday, 24 May 2015

Description

An introduction to those parts of modern analysis essential for many aspects of pure and applied mathematics, physics, economics and finance.

An introductory course into the parts of modern mathematics that arise from the idea of distance in finite and infinite dimensions. It is useful in understanding numerical algorithms, the basis of calculus, approximation methods, and the theoretical underpinnings of quantum mechanics.

MATH343 is a course in metric space theory. It is designed for students who have two courses from MATH201, MATH202, MATH203, and MATH240, or a similar background. It explores the idea of distance, and uses it to define convergence, continuity, and related concepts.

Learning Outcomes

  • This course will:

  • develop metric space theory and its applications including convergence, open and closed sets, completeness, and compactness
  • look at standard infinite dimensional spaces and the similarities and differences between them and finite dimensional spaces
  • introduce normed and Hilbert spaces

Prerequisites

30 points from MATH201, MATH202, MATH203, MATH240, MATH 243, MATH 254, MATH 264, MATH 271, EMTH 202, EMTH 204, EMTH210, EMTH211 or EMTH271.

Lecturers

Ngin-Tee Koh and Hannes Diener

Assessment

Assessment Due Date Percentage 
Tutorials 10%
Test 30%
Final Examination 60%

Textbooks / Resources

Recommended reading:
•Satish Shirali and Harkrishan L. Vasudeva, Metric Spaces, Springer, 2006.
•Graeme Cohen, A course in Modern Analysis and its Applications, Cambridge University Press, 2003.
•W. Rudin, Principles of Mathematical Analysis, McGraw-Hill.

Indicative Fees

Domestic fee $699.00

International fee $3,450.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH343 Occurrences

  • MATH343-15S1 (C) Semester One 2015
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