The third year courses Maths 332 and Maths 333
(which follows on from it) are the department's introduction
to analysis.
They will be taught over the next few years
by the following staff
- Tom ter Elst (Maths 333 in 2010)
- Shayne Waldron (Maths 333 in 2010)
- David Gauld
- Rod Gover (Maths 332 in 2010)
- Warren Moors (Maths 332 in 2010)
who you can contact for advice.
These courses are the assumed background for many of our graduate courses.
Maths 333
Analysis in Higher Dimensions (Semester 2)
Textbook:
Principles of Mathematical Analysis (Third corrected Edition),
Walter Rudin, 1976.
Available from the University Bookstore (approximately $NZ 130),
or Amazon, etc ($US 26 + shipping).
Lecturers:
Shayne Waldron, Tom ter Elst (second half).
Class times:
The class is scheduled to meet at 9 am on Tuesday (301-242),
Wednesday (301-242), Thursday(Eng4503) and Friday (tutorial in 301-242).
Assignments: There will be four assignments
due at 4 pm on Friday 6, 20 August, 1, 15 October.
Midterm Test: There will be a midterm test
(90 minutes) on Wednesday 15 September, Room 303-222 (6:15-7:45 pm).
Exam: Thursday 11 November 2:15 pm.
Assessment: The final grade will be calculated:
20% assignments, 20% test, 60% final exam, or 100% on the final exam,
whichever is the maximum.
Syllabus: We will follow the text book quite closely.
The first half will cover:
- Chapter 2 (suplemented by relevent examples of normed linear spaces)
- Chapter 3 (the material on sequences in metric spaces and completeness)
- Chapter 4 (including motivation and definitions for the derivative of
functions from C-->C and R^m-->R^n as important examples of
limits in metric spaces)
Resources
Other useful books to consult include: Introductory Functional
Analysis with Applications, Kreysig,
Introductory Real Analysis, Kolmogorov and Fomin.
Check out
MIT's Analysis I, Analysis II
U. Sydney's Metric Spaces
Here are the
tutorials and assignments for 2010
