MAS221 Analysis 2017-2018

Semester 2

Lecturer: Prof Sarah Whitehouse


This is the 2017-2018 course web page for semester 2 of MAS221 Analysis. For official course information, including timetabling, please consult the list of current modules.

Here is a link to the semester one webpage.

Semester 2 Course Information

A good grasp of Semester 1 material is essential to understanding the material in Semester 2.  This semester we will continue the study of analysis of functions of one variable, building on what you saw in Semester 1. 

Assessment

90% by exam at the end of Semester 2, 10% is based on coursework, 5% for each semester.
Arrangements for the semester 2 coursework are the same as in semester one: 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 (no longer live). Here "reasonable attempt" means that your work, in the judgement of the marker, shows that you have engaged seriously with the questions.

Lecture notes

Here are the outline lecture notes for the whole of the semester. Some sections will not be examinable - details in the full version below.

Here is a full version of the notes, with everything covered in the module in 2017-18, including the proofs and solutions to examples (but not all the pictures drawn in lectures).

Exercises

Exercises III: problems on differentiation (chapter 5).
Exercises IV: problems on series (chapter 6).
Exercises V: problems on integration, sequences and series of functions, and applications (chapters 7, 8 and 9).

Problem classes

These take place on Tuesdays (at 11 or 2) in weeks 2, 4, 6, 8, 10 and 12.

Week 2 problems: Exercises III on differentiation, Qs 80, 83, 84, 85, 89.
Week 4 problems: 
Exercises III on differentiation, Qs 92, 94, 96, 98.
[No work was set for week 6, due to disruption caused by strike action.]
Week 8 problems: Exercises IV on series, Qs 104, 105, 107, 108, 109.
Week 10 problems: Exercises V, Qs 113, 114, 126, 129.
Week 12 problems: Exercises V, Q 138 (not for hand-in). And bring any questions you have from the whole module to the tutorial.

Homework schedule

Details of questions set and hand-in arrangements are here.

Homework 1 (worth 1% credit for a reasonable attempt): the week 2 problems,
Exercises III on differentiation, Qs 80, 83, 84, 85, 89.  Due in: Thursday lecture in week 2, 15th February.

Homework 2 (worth 1% credit for a reasonable attempt): the week 4 problems, Exercises III on differentiation, Qs 92, 94, 96, 98.
 Due in: Thursday lecture in week 4, 1st March (a non-strike day).

[
No work was set for week 6, due to disruption caused by strike action. ]

Homework 3 (worth 1% credit for a reasonable attempt): the week 8 problems, Exercises IV on series, Qs 104, 105, 107, 108, 109. Due in: Thursday lecture in week 8, 19th April.

Homework 4 (worth 1% credit for a reasonable attempt): the week 10 problems, Exercises V, Qs 113, 114, 126, 129. Due in: Thursday lecture in week 10, 3rd May.

Solutions

Solutions to Exercises III on differentiation.

Solutions to Exercises IV on series.

Solutions to Exercises V on Riemann integration, sequences and series of functions, and applications.

Exam information

Information about the exam.

Solutions to the two most recent past papers are here:

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

MAS221 exam 2015-16 - solutions  [All of Q3 is on material that was not covered this year]

Office hour

Wednesday at 11, or please make an appointment via email.

Contact Details

Prof Sarah Whitehouse
Room J6c, Hicks Building
Telephone: 0114 2223870  (internal extension: 23870)
email: s.whitehouse@shef.ac.uk


Last updated: 14 May 2018