MATH343-24S1 (C) Semester One 2024

Metric, Normed and Hilbert Spaces

15 points

Start Date: Monday, 19 February 2024
End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 3 March 2024
  • Without academic penalty (including no fee refund): Sunday, 12 May 2024


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.


(MATH120 or MATH240), and a further 15 points from (MATH201, MATH202, MATH203, MATH240, EMTH210, or

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 16:00 - 17:00 A8 Lecture Theatre
19 Feb - 31 Mar
22 Apr - 2 Jun
Lecture B
Activity Day Time Location Weeks
01 Friday 09:00 - 10:00 A8 Lecture Theatre
19 Feb - 24 Mar
22 Apr - 2 Jun
Tutorial A
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 Rehua 529
19 Feb - 31 Mar
22 Apr - 2 Jun

Examinations, Quizzes and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 19:00 - 20:00 E14 Lecture Theatre
18 Mar - 24 Mar

Course Coordinator

Gunter Steinke


Mingfeng Qiu


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

Fortnightly assignments.  
To obtain a pass (C- or better), you must obtain at least 40% in the exam.

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 $847.00

International fee $4,988.00

* 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

  • MATH343-24S1 (C) Semester One 2024