Math 25: Advanced Calculus

Instructor: Greg Kuperberg (greg@math)
 
Office:2216 MSB (Math Sciences Building)
Office Hours:  10am – 11am M, 1pm – 2pm Th
Lectures:9:00am – 9:50am MWF, 1150 Hart
 
TAs:Ricky Kwok (rkwok@math) and Shad Pierson (spierson@math)
TA Offices:2232 MSB (Ricky) and 2129 MSB (Shad)
Ricky's Hours:10:30am – 11:30am Tu, 2:30pm – 3:30pm W
Shad's Hours:1pm – 2pm Tu, 3:30pm – 4:30pm W
Discussion:5:10pm – 6:00pm Th, 1150 Hart and 293 Kerr
 
Midterm dates: Monday, October 19 (in class) and Wednesday, November 18 (in class, date changed)
Final exam: Monday, December 7, 8am – 10am in 1227 Haring Hall

Homework and solutions

Usually I would like to see explanations of your answers in complete sentences. You do not have to show your scratch work, but you should show full arguments to support your conclusions.

Homework 1 and solutions.
Homework 2 and solutions.
Homework 3 and solutions.
Homework 4 and solutions.
Homework 5 and solutions.
Homework 6 and solutions.
Homework 7, due Monday, November 16 (extended due date).
Homework 8, due Wednesday, November 25 (half homework).

Extra reading

Example proofs of a football scores problem.
How not to prove theorems in mathematics.
Shad's Review questions for midterm 1.

Midterm 1 solutions.

Textbook, syllabus, and grades

The course textbook is Elementary Real Analysis, 2nd edition, by Thomson, Bruckner, and Bruckner. The first 8 chapters of the textbook are free at the bottom of the page linked here. You can also buy a PDF of the whole book for $1, or you can buy it from Amazon for $27. (Please ignore the so-called "DRIP" version.) You can't buy it from the UC Davis bookstore.

I will roughly (or not so roughly) follow the approved department syllabus. Note that the textbook has changed.

Grading:

Office visit: 1%
Homework: 14%
Two midterms: 20% each
Final exam: 45%

As I will mention in class, you should come to see me at least once during office hours by the time of the second midterm. You should come prepared with a good question. It can be a question about anything, not necessarily about the course material or even about mathematics at all, although naturally I am always available to answer course material questions.

Late, excused, and copied work

Homework up to one week late will be accepted for up to half credit. Feel free to hand in part of the homework on time if you did not finish.

I can excuse late homework or arrange alternate testing for serious interruptions such as medical emergencies, weddings, varsity sports events, etc. These interruptions must be documented, and I reserve the right to decide what kinds of events are serious.

Note that when you hand in homework, especially late homework, you promise that you did not look at any posted solutions for that homework. Working in a study group is allowed, in fact I encourage it, but you should write your homework in your own words. Copying work without attribution will be considered academic plagiarism.

(I apologize for the scary fine print here. In practice, things shouldn't be all that scary.)