Math 3325: Transitions to Advanced Mathematics, Fall 2015

Basic Info

Instructor: Dr. Mark Tomforde
Office: 601 PGH
Office Hours: Mondays and Wednesdays 3-4PM in 601PGH.
Lecture: MW 4:00--5:30PM in Room 162 of Fleming Building

Assignments

Optional:

Homework #11, Due Wednesday, December 2
Sec. 5.4 #5(a),(b),(c),(d), #7, #12, #14; Sec. 5.5 #3, 5, 8 (Also: Look at and try to do Sec. 5.4 #16, but do not turn in.)

Proof Problem #5, Due Wednesday, December 2
Here is Proof Problem #5.

In addition to the homework you turn in, watch the following three videos: Finally, I want you to look at the proofs you did on your last homework, and then compare them to homework proofs you did on some of the first homework assignments in the class, and observe how much you've learned in this course and how much better at writing proofs you've become.

No Class and No Office Hours on Wednesday, November 18

Proof Problem #4, Due Monday, November 16
Here is Proof Problem #4.

Homework #10, Due Monday, November 16
Sec. 5.3 #9(a), (b), (c), (d), (e), (f), #10 (a), (b), (c), (d), (e) #11, #14 (a), (b), (c), (d); Sec. 5.4 #8 (a),(b),(c), #10

Reading Assignment #10, to be done prior to class on Monday, November 16
Read Sec. 5.3, 5.4, and 5.5.

Proof Problem #3, Due Wednesday, November 4
Here is Proof Problem #3.

Homework #9, Due Wednesday, November 4
Sec. 4.4 #1(a)(b), #2(b)(c), #3(d); Sec. 4.5 #4(a)(d), #8(b)(d), #10(e)

Reading Assignment #9, to be done prior to class on Wednesday, November 4

Exam 2 on Wednesday, October 28
The second exam is this Wednesday in class. Remember that Office Hours are MW 3-4PM.

Homework #8, Due Wednesday, October 28
Please complete and turn in these problems.

Reading Assignment #8, to be done prior to class on Wednesday, October 21

Homework #7, Due Wednesday, October 21
Please complete and turn in these problems.

Some things to Consider
We said in class that "A picture is not a proof." This is because the way we draw a picture can sometimes be misleading or inaccurate. A proof needs to provide a convincing argument using logic, which covers all possibilities. Here are some examples of how pictures can be misleading:
Reading Assignment #7, to be done prior to class on Wednesday, October 14

Homework #6, Due Wednesday, October 14
Sec. 2.6 #1(a)(d), #6, #7(c), #9(a)(b), #19(a)(b)(c), #23(c)

Reading Assignment #6, to be done prior to class on Wednesday, October 7

Homework #5, Due Wednesday, October 7
Please complete and turn in these problems.

Proof Problem #2, Due Wednesday, October 7
Here is Proof Problem #2.

Reading Assignment #5, to be done prior to class on Wednesday, September 30

Announcement:
You will get your graded Exam 1 back on Monday, September 28. There is no homework due on Wednesday, Sept. 30. Instead, use this week to go over the exam and review material and concepts covered on problems that you missed. In preparation for the next exam, the following contains questions to help you think about how you study. If your score on Exam 1 is significantly lower than what you expected or are happy with, you may want to consider withdrawing from the course.

Exam 1 on Wednesday, September 23
The first exam is this Wednesday in class. Remember that Office Hours are MW 3-4PM.

Homework #4, Due Wednesday, September 23
Sec. 2.1 #5(b),(d),(f),(h),(j),(l), #14 (b)(d), #15(b)(c); Sec. 2.2 #9(a),(d), #10(d), #11(b),(d);

Handouts from Class on Wednesday, September 16
Here are two handouts that you may find useful. The first gives some suggestions on what to do when you're trying to prove a statement and you get stuck. The second is a list of the ZF+C axioms (i.e., the Zermelo-Frankel axioms plus the Axiom of Choice). ZF+C is the system of standard axioms of set theory, and hence they constitute the standard axioms of most of mainstream mathematics. Although you don't need to memorize the ZF+C axioms or even use them in any direct way in this course, I'm giving them to you just so you can see them.
Reading Assignment #4, to be done prior to class on Wednesday, September 23

Proof Problem #1, Due Monday, September 21
Here is Proof Problem #1.

Homework #3, Due Wednesday, September 16
Sec. 1.5, #3(f), #5(a), #7(c), #10; Sec. 1.6 #4(g), #6(f); Sec. 1.7 #2(a),(b),(c), #4(c)

Reading Assignment #3, to be done prior to class on Wednesday, September 9

Homework #2, Due Wednesday, September 9

Reading Assignment #2, to be done prior to class on Wednesday, September 9

Homework #1, Due Wednesday, September 2
Sec. 1.1, #2(b)(d), #3(b)(c), #6(e)(g) #9(a)(b)(c), 11(f)(g)(i)(j)(k)

Reading Assignment #1, to be done prior to class on Wednesday, August 26