Course outline
About the course (.pdf)
Lecture Notes
Chapter 1: Introduction (.pdf)
Chapter 2: Metric spaces
Chapter 3: Convergence of sequences
Chapter 4: Closed and open sets
Chapter 5: Continuity
Chapter 6: Cauchy sequences and completeness
Chapter 7: The contraction mapping principle
Chapter 8: Compactness
Additional material
Metric spaces - additional examples (.pdf)
A list of key concepts and results (to help with revision!)
Problem sheets and assignments
Exercises for weekly practice (.pdf)
Assignment 1
Assignment 2
Assignment 3
Solutions
Solutions to Chapter 1 Problems
Solutions to Chapter 2 Problems
Solutions to Assignment 1
Solutions to Chapter 3 Problems
Solutions to Chapter 4 Problems
Solutions to Chapter 5 Problems
Solutions to Assignment 2
Solutions to Chapter 6 Problems
Solutions to Assignment 3
Solutions to Chapter 7 Problems
Solutions to Chapter 8 Problems
Past exams
2009-10 exam paper (PMA307 was the old
course code) (.pdf)
2010-11 exam paper (.pdf)
Past exam solutions
2009-10 exam solutions.
2010-11 exam solutions.
Questions?
If you have any doubts or difficulties, you can email the lecturer, or make an
appointment to discuss them:
j.greenlees@sheffield.ac.uk
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