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Undergraduate Study

PMH3   Functional Analysis

General Information

This page relates to the Pure Mathematics Honours course "Functional Analysis".

Lecturer for this course: Anne Thomas.

For general information on honours in the School of Mathematics and Statistics, refer to the relevant honours handbook.

Consultations: by appointment.

Information Sheet

Introduction to Functional Analysis lecture notes by Daniel Daners.

Exercise Sheets

Exercise Sheet 1

Exercise Sheet 2

Exercise Sheet 3

Exercise Sheet 4

Exercise Sheet 5

Exercise Sheet 6

Assignments

Assignment 1 due 5pm Friday 1 April (week 4). Please hand in to my office, Carslaw 716, under the door if I'm not there.

  • Exercise Sheet 1: questions 2, 10 and 13.
  • Exercise Sheet 2: questions 2, 6 and 8.

Assignment 2 due 5pm Friday 5 May (week 8). Please hand in to my office, Carslaw 716, under the door if I'm not there.

  • Exercise Sheet 3: questions 2, 8, 11 and 13.
  • Exercise Sheet 4: questions 1 and 5.

Assignment 3 due 5pm Wednesday 31 May (week 12). Please hand in to my office, Carslaw 716, under the door if I'm not there.

  • Exercise Sheet 5: questions 2 and 5.
  • Exercise Sheet 6: questions 1(a), 5 and 6(b).

Final Exam

The final exam will be at 10am on Friday 30 June, in the Access Grid Room (Carslaw 829). There will be 10 minutes reading time followed by 2 hours to complete the exam.

This will be a "theory" exam. What this means is that you will be asked to state important definitions and results, give examples and counter-examples (with or without justifications), and outline proofs of results from lectures. For the proofs, you should use the number of marks available as a guide to how much to include, but I am not looking for regurgitations of every detail. Instead, you should demonstrate your understanding of the key steps, and of how various results from the course fit together.

Timetable

 

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