(Mathematical Sciences Build.), 752-0825, gravner[at]math[dot]ucdavis[dot]edu.
Please only use email in an
emergency, e.g., if you are sick and
you cannot reach me by phone. I will not reply to
emails with questions about class material, etc.
Office Hours: Mon. 10-11am, Tue. noon-1pm, Wed. 10-11am.
Discussions A01 (Thu., 4:10-5, 290 Hickey Gym) and A02 (Thu., 5:10-6,
116 Veihmeyer 229 Wellman - note the room correction).
Office Hours: Thu. 1-2pm, Fri. 1-2pm.
A good working knowledge of calculus (courses MAT 21ABC) and the ability
to follow and write mathematical proofs (course MAT 108).
You are responsible for
satisfying the prerequisites!
Understanding Analysis, by
S. Abbott, 2nd Edition (Springer, 2016). The e-book is freely
available through the library.
Chapters 1-3 will be covered.
Also recommended is a very similar book Elementary Analysis: The Theory of Calculus,
by K. A. Ross (Springer, 1980).
Course grade will be based on the following:
I will follow this grading curve:
- Homework: 100 points,
- Midterm Exam 1 (Friday, October 25, in class): 100 points,
- Midterm Exam 2 (Friday, November 22, in class): 100 points,
- Final (Wednesday, December 11, 10:30am-12:30pm, room TBA): 200 points,
- TOTAL: 500 points.
Thursday meeting is a discussion session, lead by the TA, and
devoted to homework and further elaboration on lecture
material. Attendance of discussion sessions is mandatory
(in the sense that you are responsible for the material covered there; your
presence will not be verified).
Please bear in mind that talking, cellphone
ringing, newspaper reading, etc. disrupt the lectures.
Use of computers, cellphones, recorders, or any other
electronic devices during lectures is not allowed.
If you have any problem at all that requires special accommodation,
please let me know well in advance!
Use of books, notes, calculators, or anything else
but pencil and paper, will not be allowed on
Homework will be assigned about once a week, and due the following week.
Late homework will not be accepted under any circumstances.
Homework assignments page for homework information.
Also, there will be no make-up exams. A missed exam counts
as 0 points. If you miss the final you will automatically receive an
F. The grade I (Incomplete) will not be given in any
circumstances. If you miss the final because of illness or other emergency, please
petition for the
Solutions for the midterms will be posted at the
SOME USEFUL LINKS:
Prof. John Hunter has written very nice
for Math 127ABC.
Jiří Lebl has developed a free online textbook that covers Math 127ABC and more.
from MAT 108 are an excellent introduction to abstract mathematics.
A great book to learn set theory is Classic Set Theory by D. C. Goldrei, and
a good advanced book is Introduction to Set Theory by Hrbacek and Jech.
A tutorial on writing proofs
by Larry Cusick at CSU Fresno.
Some tips on reading
math books by Mark Tomforde at University of Houston.
A very nice guide on
how to write solutions to math problems, by Richard Rusczyk and Mathew Crawford at
Art of Problem Solving.
To read some of the most elegant proofs ever discovered, check out the
Proofs from the Book
by Martin Aigner and Günter M. Ziegler.
TeX is the typesetting system
used to write all mathematical texts nowadays. It is an excellent idea to learn
the most commonly used variant of TeX called LaTeX as soon as
possible, although it will not be required in this course. Here is some information
to get you started:
MikTeX (TeX system
for Windows), Texmaker
(a free TeX Editor for all platforms),
Overleaf (an online LaTex editor).
A very good introduction
is at the Art of Problem Solving website, and you can check out a
LaTeX textbook by David R. Wilkins.