MATH343-23S1 (C) Semester One 2023

Metric, Normed and Hilbert Spaces

15 points

Start Date: Monday, 20 February 2023
End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 5 March 2023
  • Without academic penalty (including no fee refund): Sunday, 14 May 2023


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 and theoretical economics.

MATH343 provides useful background material for many 400-level courses, including Approximation Theory, Hilbert Spaces, Dynamical Systems, Real & Complex Analysis, and Topology.

Learning Outcomes

  • Students successfully completing this course should:
  • understand a range of basic analytic concepts;
  • have developed a high level of competence at core analytic skills;
  • be able to confidently apply analytic concepts in practical settings;
  • be able to present clear and logical mathematical arguments.


Course Coordinator

Gunter Steinke


Ngin-Tee Koh


Assessment Due Date Percentage  Description
Assignment 25% Weekly Assignments
Final Examination 50%
Test 25%

Weekly assignments (due each Wednesday tutorial class from Week 2) = 25%
Test = 25%
Exam = 50%

Textbooks / Resources

Recommended Reading

Cohen, Graeme Laurence; A course in modern analysis and its applications ; Cambridge University Press, 2003.

Shirali, Satish , Vasudeva, Harkrishan L; Metric spaces ; Springer, 2006.

Indicative Fees

Domestic fee $824.00

International fee $4,750.00

* 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

  • MATH343-23S1 (C) Semester One 2023