Novel Coronavirus (COVID-19) disruption
From 16 March 2020, the university suspended face-to-face teaching. The latest information for students is here: https://www.sheffield.ac.uk/students/news/coronavirus-student-update-1.879436
The situation is
changing rapidly and you should check back regularly for updates, as
well as checking your university email account.
Teaching is now online. There will be no lectures or tutorials face-to-face for this module (or
any other) and students should not come to teaching rooms until further
2 teaching materials are available on Blackboard/MOLE. Please go to
MOLE for this module. You will find updated notes, videos, links to
virtual office hours and virtual tutorials as well as other materials.
dates have been amended. The semester resumed on 20th April. The teaching period runs until 22nd May.
Assessment for this module will be one more online AiM test in the
teaching period and a Blackboard Test in the assessment period. More
details are coming and will be available via MOLE.
Earlier course information appears below, but please see MOLE for the latest information.
This is the 2019-2020 course
web page for semester 2
of MAS221 Analysis. For official course
information, including timetabling, please consult the list of current
Here is a link to the semester one webpage.
Semester 2 Course Information
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 we
covered in Semester 1.
90% by exam (now "Blackboard test") at the end of Semester 2, 10% is based on coursework, 5% for each semester.
**** Please check Blackboard/MOLE for updates on Semester 2 coursework and overall assessment.
Lecture notesIn Semester 1
we got as far as proving the Intermediate Value Theorem. We began
Semester 2 at that point - please refer to the Semester 1 lecture notes.
Here are the full notes to the end of Chapter 4.
Here are the outline lecture notes for the rest of semester 2. As
in semester 1, this is a version without proofs of theorems or worked
solutions to examples. A fuller version including
these materials is now available below. Note
however that I usually draw lots
of graphs and diagrams on the blackboards in the lectures
and many of these are not in the notes. I am investigating the
best way to convey that information in the light of suspension of
Here are the full notes for Semester 2. This is what I expected to cover in a usual year. It is not clear at present how much of this material will be covered.
Here are the slides from Chapter 5 onwards. These match the outline notes in content.
Semester 1 problems (repeated here for convenience, as we did some chapter 4 problems at the start of semester 2)
Semester 2 problems
These take place on Tuesdays (at 11 or 2) in weeks 2, 4, 6, 8, 10 and
****No classes in week 6 and until further notice. Some virtual office
hours and tutorials - check on Blackboard/MOLE for details.****
Week 2 problems: Chapter 4, Qs 60, 65; Chapter 5, Qs 79, 80, 85.
Week 4 problems: Chapter 5, Qs 86, 89, 90.
Please use the Discussion Forum on MOLE to ask questions.
Homework 1 (worth 1% credit for a reasonable attempt): the week 2 problems
Chapter 4, Qs 60, 65; Chapter 5, Qs 79, 80, 85.
Revised hand-in date: Thursday lecture in week 3, 27th February.
No further homework hand-in deadlines for the moment, but please work on the questions below.
Chapter 5, Qs 86, 89, 90.
If you have already done those questions, please try some questions
from the 2017-18 exam paper. You have seen all the material needed for
Q1, Q2 and part (i) of Q3.
Semester 2 online test: to be confirmed.
SolutionsSolutions to the problems will appear here as the module progresses.
Solutions up to Q85.
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 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. With the suspension of face-to-face teaching, the discussion forum on MOLE will provide a place to ask questions.
Some more detailed exam information will appear here in due course.
Link to the 2017-18 paper and the general past papers page.
Solutions to two papers:
MAS221 exam 2017-18 - solutions [ There were some small changes to terminology in relation to domains of functions. In Q4b), the Greek letter chi χ was used as notation for indicator functions. This year we are using 1 instead. ]
MAS221 exam 2016-17 - solutions [ Q4 parts (iii), (iv), (v) are on material that will not be covered this year. ]
Suspended until further notice. Please see the discussion forum on MOLE and feel free to ask questions there.
Room J6c, Hicks Building
Telephone: 0114 2223870 (internal extension: 23870)
Last updated: 4 May 2020