MATH10121 Home Page
MATH10121 Calculus and Vectors A
The primary webpage for this Course Unit is here .

Lecturer: Prof.
Oliver Jensen

Email: Oliver.Jensen@manchester.ac.uk;
Tel. (external): 0161 306 3685
Tel. (internal): 6-3685
Office: 2.145, Alan Turing Building
Office hour: 2-3pm on Tuesdays

Lecture timetable: Semester 1

Monday 17:00-18:00, Chemistry G.51
Tuesday 13:00-14:00, Chemistry G.51
Thursday 11:00-13:00, Kilburn Theatre 1.1

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Coursework:
Anonymised marks from the week 6 test:
scores &
distribution
An example of a Week 6 coursework test is given
here
(solutions )
2016 Week 6 coursework
solutions

Lecture Notes:
Notes with gaps, weeks 1-5:
A0 Introduction ;
A1 Numbers ;
A2 Functions ;
A3 Limits and Derivatives ;
A4 Power Series and Complex Numbers ;
A5 Integration ;
A6 Sketching graphs and curves ;
Notes with gaps, Weeks 7-11:
B1 Vectors ;
B2 Partial Derivatives ;
B3 Multiple Integrals

Week 12: Revision

Annotated notes:
Lecture 1
Lecture 2
Lectures 3 & 4
Lecture 5
Lecture 6
Lectures 7 & 8
Lecture 9
Lecture 10
Lectures 11 & 12
Lecture 13
Lecture 14
Lectures 15 & 16
Lecture 17
Lecture 18
Lectures 19 & 20
Lecture 21
Lecture 22
Lectures 23 & 24
Lecture 25
Lecture 26
Lectures 27 & 28
Lecture 29
Lecture 30
Lectures 31 & 32
Lecture 33
Lecture 34
Lectures 35 & 36
Lecture 37
Lecture 38
Lectures 39 & 40 (2012-C6; 2013-B2)
Lecture 41 (2013-C5; 2013-B1)
Lecture 42 (2013-C6; 2013-C4; 2013-B3)
Lectures 43 & 44 (2014-1:5)

Lecture capture
podcasts

Problem Sheets: Please complete the starred questions each
week and hand these in before the supervision class. For week 1, take
the answers along to the class. Full answers to the problem sheets will be
available on this page in the week following each class.
week 1
[answers ] ;
week 2
[answers ] ;
week 3
[answers ] ;
week 4
[answers ] ;
week 5
[answers ] ;
weeks 6-7
[answers ] ;
week 8
[answers ] ;
week 9
[answers ] ;
week 10
[answers ] ;
week 11
[answers ] ;
week 12
[answers ]

Past Exams:
Papers: 2015/16
2014/15
2013/14
2012/13
Unfortunately it is not possible to provide full solutions to all past exams, but see Lecture 40 onwards for selected examples.
Feedback
13.10.16: Questionnaire: Major points are summarised here .
1.2.17: Exam: feedback on the January exam is here .
Supervision classes provide an opportunity for students' work to be discussed and provide feedback on their understanding. Students can also get feedback on their understanding directly from the lecturer, for example during the lecturer's office hour.

Supplementary sheets:
Notation ;
Set theory;
Differentiation and Integration