MAS221 Analysis 2018-2019

Semester 1

Lecturer: Prof Sarah Whitehouse

This is the 2018-2019 course web page for semester 1 of MAS221 Analysis. For official course information, including timetabling, please consult the list of current modules

Here's the Semester 2 page.

Semester 1 Course Information


90% by exam at the end of Semester 2, 10% is based on coursework, 5% for each semester.
In each semester, there will be one mark for handing in a reasonable attempt at each of the four homeworks and one mark for passing a mid-term online test. Here "reasonable attempt" means that your work, in the judgement of the marker, shows that you have engaged seriously with the questions.

All the semester 1 coursework deadlines have passed. For information about semester 2, follow the link to the Semester 2 page.

Lecture notes

Here are the full notes for semester 1. (Last updated 14/12/2018. Correct to the best of my knowledge. Please contact me if you find any typos or errors.) As expected, I drew lots of graphs and diagrams on the blackboards in the lectures and many of these are not in the notes. You were strongly encouraged to attend lectures and to take your own notes of the blackboard material, especially the graphs and diagrams.

The outline lecture notes for semester 1 are also still available. (Last updated 19/11/2018 to fix minor typos.)
This version does not include the proofs or solutions to examples.  

Additional notes on "Characterising completeness of the real number line" (non-examinable).


Chapter 1 problems
Chapter 2 problems
Chapter 3 problems
Chapter 4 problems

Problem classes

These took place at various times (Monday 9, Thursday 2, Thursday 3) in weeks 3, 5, 8, 10 and 12. 

Homework schedule

Details of questions set and hand-in arrangements for semester 1.

Homework 1 (worth 1% credit for a reasonable attempt):  
Problems 5, 9, 10, 13, 15 from Chapter 1.

Homework 2
(worth 1% credit for a reasonable attempt):  
Problems 21(a) and (d), 23, 24, 26, 31 from Chapter 2.

Homework 3 (worth 1% credit for a reasonable attempt):

Problems 32, 34, 35, 41, 42 from Chapter 2.

Homework 4 (worth 1% credit for a reasonable attempt):

Problems 44, 45, 47, 49, 50 from Chapter 3.

Tutorials week 12: very few people who attended. We looked at problems 56 and 57 from Chapter 4, as well as doing some revision by looking at Q1 from last year's exam paper.


Solutions to Chapter 1 problems.
Solutions to Chapter 2 problems.
Solutions to Chapter 3 problems.
Solution to Chapter 4 problems, up to Q58.

Further solutions to Chapter 4 problems will appear early in semester 2.


There are various ways students can get feedback on their individual work and their progress on this module. The most important is the feedback from the markers on the homework assignments. The markers have put in considerable time and effort, which is wasted if marked homework is not collected back and reviewed. Understanding and acting on this feedback is a key way to improve - likely to result in an improved performance on the exam far out-weighing the 1% for the homework itself. Online tests also provide some feedback and so does the help available in tutorial classes.

Exam information

Link to last year's paper and the general past papers page.

Solutions to a recent past paper are here:

MAS221 exam 2016-17 - solutions  [Q4 parts (iii), (iv), (v) are on material that will not be covered this year]

Solutions to last year's paper will appear here nearer to exam time.  Many students missed an opportunity for help and guidance with an old exam question by not attending the week 12 tutorials!

Office hour

Monday 11:00 - 12:00 in my office J6c from week 2, or email me to arrange an appointment.

Contact Details

Prof Sarah Whitehouse
Room J6c, Hicks Building
Telephone: 0114 2223870  (internal extension: 23870)

Last updated: 11 January 2019