MATH343-22S1 (C) Semester One 2022

Metric, Normed and Hilbert Spaces

15 points

Details:
Start Date: Monday, 21 February 2022
End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 6 March 2022
  • Without academic penalty (including no fee refund): Sunday, 15 May 2022

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 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.

Prerequisites

Timetable 2022

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 11:00 - 12:00 E12
21 Feb - 10 Apr
2 May - 5 Jun
Lecture B
Activity Day Time Location Weeks
01 Friday 14:00 - 15:00 E12
21 Feb - 10 Apr
2 May - 5 Jun
Tutorial A
Activity Day Time Location Weeks
01 Wednesday 11:00 - 12:00 Jack Erskine 441
28 Feb - 10 Apr
2 May - 5 Jun
02 Wednesday 12:00 - 13:00 Jack Erskine 441
21 Feb - 10 Apr
2 May - 5 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Friday 19:00 - 20:00 Online Delivery
21 Mar - 27 Mar

Course Coordinator

Ngin-Tee Koh

Lecturers

Ngin-Tee Koh and Gunter Steinke

Assessment

Weekly assignments (due each Wednesday tutorial class from Week 2) = 40%
Online test (1 hour) = 20%
Online final exam (2 hours) = 40%

Textbooks / Resources

Recommended Reading

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

Indicative Fees

Domestic fee $802.00

International fee $4,563.00

* 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

  • MATH343-22S1 (C) Semester One 2022