MATH343-21S1 (C) Semester One 2021

Metric, Normed and Hilbert Spaces

15 points

Start Date: Monday, 22 February 2021
End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 7 March 2021
  • Without academic penalty (including no fee refund): Friday, 14 May 2021


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, Fourier Transforms & Distribution Theory, and Topology.

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


Course Coordinator / Lecturer

Gunter Steinke


Assessment Due Date Percentage 
Tutorials 10%
Assignment (x2) 15%
Test 25%
Final Examination 50%

Textbooks / Resources

Recommended Reading

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

Indicative Fees

Domestic fee $788.00

International fee $4,438.00

* 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

  • MATH343-21S1 (C) Semester One 2021