Differential Forms MA2286
Module homepage for 2016-17
Text:
Most of the homework questions will be taken from Murray Spiegel's
elementary level book: Advanced
Calculus (Schaum's Outline Series). I recommend that you buy this
book.
However, my presentation of material in lectures is very much based on
Harold M Edwards advanced level book: Advanced Calculus: A differential forms
approach (Birkhauser).
I
recommend
that you take a look at this book in the library but you don't
need to buy it.
Another book that you should certain take a look at -- its a classic
text -- is Michael Spivak's Calculus
on Manifolds.
Assessment: The end
of semester exam will count for 70% of the assessment. The continuous
assessment will count for 30% of the assessment.
Continuous Assessment: The
continuous
assessment
will
consist
of three equally weighted in-class tests based
on the homework/tutorial problems. Each test will consist of questions
taken verbatim from the homework/tutorial sheet. Questions on the
end of semester exam will also be fairly closely based on the
homework/tutorial sheet. Here
is a version of the end of semester exam with question details omitted.
Homework sheet
is available here.
Throughout the semester I'll add extra questions to this sheet.
Lectures take place at 11am Monday in the AC201 and 11am
Wednesday in AC201. The lecturer is Graham Ellis.
Tutorials take place at 6pm Tuesday in IT202 and Thursdays
at 6pm in IT204. The tutor is Adib
Makroon.
Student feedback on this module will be posted here.
Previous years: The material covered in the module is similar to
previous years. However, the presentation of the material will be a bit
different.
FAQ: I came to university to study financial maths and economics, so why are you making me study differential forms?
Answer: Take a look at
this paper on "Applying Exterior Differential Calculus to
Economics: a Presentation and Some New
Results",
and this paper on "Exterior Calculus: Economic Profit Dynamics",
or just Google "exterior claclulus" and "Economics" and browse through the many articles and books that you hit.
The
MA2286 module aims to give you the ability to benefit from
such research articles and books in financial mathematics!
Lectures:
Lecture
1
Lecture
2
Lecture
3
Lecture
4
Lecture
5
Lecture
6
Lecture
7
First
Test
Lecture
8
Lecture
9
Lecture
10
Lecture
11
Lecture
12
Lecture
13
Lecture 14 (Bank Holiday - no lecture)
Second
Test
Lecture
15
Lecture
16
Lecture
17
Lecture
18
Lecture
19
Lecture
20
Third Test
Lecture 21