Math 4433

(Intro. to Analysis I)

Summer 2006

Roadrunner (Geococcyx californianus). This one is nesting in a cottonwood tree, but you can frequently see roadrunners out wandering along East Norman roadsides. This image taken from http://www.scsc.k12.ar.us/2004outwest/Projects/MosleyR/default.htm.
Instructor: John Albert
Office: PHSC 1004
Office hours: Mondays, Wednesdays and Thursdays from 10:30 am to 11:30 am (or by appointment)
Phone: 325-3782
E-mail: jalbert@ou.edu

The third exam is Monday, July 31. Here is a review sheet for the third exam. (NOTE: on the copy of the review sheet I handed out in class Wednesday, I mistakenly put that the exam would cover assignments 19 through 23. Actually the exam will cover assigments 19 through 24: assignment 24 is over section 6.2, which is covered on the exam.)

The second exam was Friday, July 14. Here is a review sheet for the second exam.

The first exam was Friday, June 23. Here is a review sheet for the first exam.

The syllabus for this course is here.

Exams

Homework

Sometimes I post an assignment in advance but change it in class the day before it's due. If you miss a class you should check this web page after class for the final version of the next day's assignment.

Assignment

Due Date

Problems
1 Wed. June 7 2.3: #6
2 Thurs. June 8 2.3: #5, 10
3 Mon. June 12 3.1: #4, 8
4 Tue. June 13 3.1: #5a, #6a (5 points each). Also: use induction to prove that if a > 0 then, for all natural numbers n, (1+a)^n is greater than or equal to 1 + na + (n(n-1)/2)a^2.
5 Wed. June 14 3.1: #9, 13
6 Thurs. June 15 3.1: #16
7 Fri. June 16 3.2: #7, 9
8 Mon. June 19 3.2: #22
9 Tue. June 20 3.2: #13
10 Thurs. June 22 3.3: #4 (prove convergence only, need not find the limit)
11 Mon. June 26 3.3: #2, 11
12 Thurs. June 29 3.4: #2, 5, 12
13 Mon. July 3 3.5: #5
14 Fri. July 7 3.7: #8, 9
15 Mon. July 10 Prove that the series Σ (1/k^3) converges.
16 Tue. July 11 4.1: #2
17 Thurs. July 13 4.2: #2(b,d)
18 Tue. July 18 4.1: #14; 4.2: #4
19 Wed. July 19 5.1: #11, 12
20 Thurs. July 20 5.2: #8
21 Mon. July 24 5.3: #1
22 Tue. July 25 6.1: #1(a,b)
23 Wed. July 26 6.1: #2, 4
24 Fri. July 28 6.2: #6, 7