Home Page for Math 787.03, Spring,
2003, Ohio State University, Columbus Campus
My office hours will be 11:00 a.m. to 12:00 noon, MWF, in MA438 (and by
appointment also).
The final exam will be on Wednesday, August 27, from
3pm-6pm in MA 010.
Past weeks:
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Current week: Week 9 (week of August 18). Topic for the week:
Sequences and Series of Functions (Kaczor and Nowak chapter 3),
Integration (Berkeley chapter 1.5).
On Monday, August 18, we talked about the Dirichlet and Abel
tests for uniform conververgence and solved the following
problems in Kaczor and Nowak, V.2: 3.2.13 (in the process we
derived the summation by parts formula), 3.2.26, 3.2.9 (an
alternating series test for uniform convergence), 3.2.32,
and 3.2.21. Next time we'll look at 3.2.40 and look at a few
problems in chapter 3.3.
On Tuesday, August 19, we did problem 3.2.40 in Kaczor and
Nowak, v.2, and Berkeley problems 1.5.3, 1.5.5.
On Wednesday, August 20, we did the following problems from
the Berkeley book: 1.5.6, 1.5.24, 1.5.21 and 1.5.8. Here are
solutions to problem set 6.
On Friday, August 22, we did Berkeley problem 1.5.11, Kaczor
and Nowak V2. problem 3.2.20, and 3.3.14. We started problem 3.3.16
(and saw why the hypothesis n a_n -> 0 is essential!) but didn't
finish it (next time).
On Monday, August 25, we did problem 3.3.16 from Kaczor and
Nowak, v.2, and problem #1 from the Autumn, 99 exam.
On Tuesday August 26, we talked about the basics of convex
functions and did problems 3.4.16, 2.4.14, and 2.4.3 from Kaczor and
Nowak, v.2.
On Wednesday, August 27, we had the final exam (third mock
exam). Here is the
exam
and
solutions.
Quick links to stuff on this site:
General:
Syllabus for Math 787.03,
Summer 2003
List of topics and course
outline
Problem Sets:
Problem set 1 (solution to #5)
Problem set 2
Problem set 3
Problem set 4 and
solutions
Problem set 5 and
solutions
Problem set 6 and
solutions
Some solutions to old OSU qualifying exams:
Autumn 1994 (problem
set 6)
Spring 95
Spring 96
Autumn 96
Spring 97
Autumn 97
Autumn 98
Spring 99
Autumn 99
Autumn 2001
(problem set 4)
Spring 2002 (problem
set 5)
Mock exams, Su03:
Mock exam 1
(solutions)
Mock exam 2
(solutions)
Mock exam 3
(solutions)