Math 1540: Advanced Calculus 2
Instructor: Jason DeBlois (see my homepage
for contact info)
Office: Thackeray 407
Office hours: Monday 1-2, Tuesday 4-5, Friday 2-3
(or just email me for an appointment)
First day handout
Text: Real Mathematical Analysis
(2nd edition), by Charles C. Pugh.
Supplementary texts (not required):
Elementary Classical Analysis, by Marsden and Hoffman
Principles of Mathematical Analysis, by Walter Rudin
Grading
- Homework - 30%. Assigned and collected weekly.
- Midterms 1 and 2 - 20% each.
- Final exam - 30%.
Homework Assignments
All assignments are from Pugh, ed. 2, unless otherwise specified.
If the corresponding problem in ed. 1 has a different number then
the ed. 1 problem number immediately follows in parentheses.
If there is no corresponding problem in ed. 1 then I will write up the
problem and link to it.
- Assignment 1 (due Wednesday 01/11) Ch. 3 #41 (43),
44(a) (41(a)),
49 (48),
52 (51), and the PPotW
(Prelim Problem of the Week).
- Assignment 2 (due
Wednesday 01/18 Friday 01/20) Ch. 3
#57,
58 (73),
62 (57), 63 (58), 69 (64),
and the PPotW.
- Assignment 3 (due Friday 1/27) Ch. 3 #65(b) (60(b)), Ch. 4 #1,
2, 4, 5, and
the PPotW.
- Assignment 4 (due Friday 2/3)
This.
- Assignment 5 (due Friday 2/10) Ch. 4 #38 (36), and
this.
- Assignment 6 (due Friday 2/17) Ch. 4 #8, 12, 18, 22 (20), and
the PPotWs.
(There are two this week. Huzzah!)
Note: The first three problems have the same ed. 1 and ed. 2
numbers.
- Assignment 7 (due Friday 2/24) Ch. 4 #10, 14, 41 (39), and
the PPotW.
- Assignment 8 (due Friday 3/3) Ch. 4 "More pre-lim Problems"
#28 (29), 49
(52), 52 (55), and
this.
- Assignment 9 (due Friday 3/17) Ch. 4 #26 (25), 27 (26), 28
(27), 30.
Ch. 5
#3, 7, 9 (same in eds 1 & 2), and the
PPotW.
- Assignment 10 (due Friday 3/24) Ch. 5 #2, 12, 15 (same in
eds. 1 and 2),
and
the PPotW.
- Assignment 11 (due Friday 3/31) Ch. 5 #16-18, 20, 22 (same
in eds. 1 and
2), and the
PPotW.
- Assignment 12 (due Friday 4/07) Ch. 5 #23, 24, 25, 28, 29(a)
(same in eds.
1 and 2),
and the PPotW.
- Assignment 13 (due Friday 4/14) Ch.5 #30, 41, and
this.
- Assignment 14 (due Wednesday 4/19) Ch. 5 #32, 33, and
the PPotWs.
Back to the math department.