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.

Semester 1 Course Information

Assessment

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.

The semester 1 mid-term online test is now closed.

Lecture notes

Here are the outline lecture notes for semester 1.

This version does not include the proofs or solutions to examples. This material will be presented on blackboards in the lectures. I plan to make a full version of the notes covering this material available, chapter by chapter as we finish them. So you will have a full set towards the end of the semester. Note, however, that I expect to draw lots of graphs and diagrams on the blackboards in the lectures and many of these will not be the notes. You are strongly encouraged to attend lectures and take your own notes of the blackboard material, especially the graphs and diagrams.

Full notes up to the end of Section 2.4 . (This is where we are up to by Reading Week.)

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

Exercises

Chapter 1 problems
Chapter 2 problems

Problem classes

These take 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 will appear here.

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.

Please start work on these before the week 8 tutorials. Come to the tutorials with questions. You will be given help and hints during the tutorial and then the questions are for hand-in in the Friday lecture in week 8 (16th November).


Here are a couple of sample problems with solutions.
 

Solutions

Solutions to Chapter 1 problems.
Solutions to Chapter 2 problems, up to Problem 31.

Further solutions will appear here as the module progresses.

Exam information

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]

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)
email: s.whitehouse@shef.ac.uk


Last updated: 12 November 2018