Math 3325: Transitions to Advanced Mathematics, Fall 2014

Basic Info

Instructor: Dr. Mark Tomforde
Office: 601 PGH
Office Hours: Dr. Tomforde, MWF, Noon-1:00PM in 601PGH.
Dr. Ott, TR, 2:30-3:30PM in 603PGH.
Lecture: MW 4:00--5:30PM in 108 CBB
Syllabus: Download the Syllabus


Assignments

Homework #11, Due Monday, December 1
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.)

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 proofs you've become.


Proof Problem #5, Due Wednesday, November 19
Here is Proof Problem #5.


Homework #10, Due Wednesday, November 19
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 Wednesday, November 19
Read Sec. 5.3, 5.4, and 5.5


Reading Assignment #9, to be done prior to class on Wednesday, November 12
Read Sec. 5.1 and Sec. 5.2
Since the material we're covering in Chapter 5 is more difficult than what we've done in the past, there will be no homework to turn in this week. Instead read Sec. 5.1 and Sec. 5.2 carefully and focus on understanding the ideas, definitions, and theorems.


Reading Assignment #8, to be done prior to class on Wednesday, November 5
Read Sec. 4.5 and Sec. 5.1


Homework #9, Due Wednesday, November 5
Please do these problems.


Homework #8, Due Wednesday, October 29
Please do these problems and read this comic.


Proof Problem #4, Due Wednesday, October 29
Here is Proof Problem #4.


Homework #7, Due Wednesday, October 22
Please do these problems.


Proof Problem #3, Due Wednesday, October 22
Here is Proof Problem #3.


Reading Assignment #7, to be done prior to class on Wednesday, October 22
Read Sec. 4.3-4.5


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:
Homework #6, Due Wednesday, October 15
Please do these problems.


Proof Problem #2, Due Wednesday, October 15
Here is Proof Problem #2.


Reading Assignment #7, to be done prior to class on Wednesday, October 15
Read Sec. 3.4-3.5 and Sec. 4.1-4.2


Homework #5, Due Wednesday, October 8
Please do these problems.


Reading Assignment #6, to be done prior to class on Wednesday, October 8
Read Sec. 2.6, 3.1-3.3


Homework #4, Due Wednesday, October 1
Sec. 2.2 #9(a),(d), #10(d), #11(b),(d); Sec. 2.3 #1(n), #8(b)(c), #10(c) #12


Reading Assignment #5, to be done prior to class on Wednesday, October 1
Read Sec. 2.4-2.5


Exam 1 on Wednesday, September 24
The first exam is this Wednesday in class. Your next homework will be due on October 1.
Use this week to study for the exam. Remember that Office Hours are MWF Noon-1PM.


Handouts from Class on Monday, September 15

Reading Assignment #4, to be done prior to class on Wednesday, September 17
Read Sec. 2.1-2.3


Proof Problem #1, Due Wednesday, September 17
Here is Proof Problem #1.


Homework #3, Due Wednesday, September 17
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 10
Read Sec. 1.5-1.7


Homework #2, Due Monday, September 8
Please do these problems.


Reading Assignment #2, to be done prior to class on Wednesday, September 3
Read Sec. 1.3-1.4


Homework #1, Due Wednesday, August 27
Sec. 1.1, #2(b)(d), #3(b)(c), #6(e)(g) #9(a)(b)(c), 11(f)(g)(i)(j)(k)

Also, watch the following three short videos before class on Wednesday:
• Ma and Pa Kettle, "25 divided by 5 is 14"
• Abbott and Costello, "7 times 13 is 28"
• Tom Lehrer's "The New Math"

What are some lessons we can learn from these videos? We'll discuss briefly in class.


Reading Assignment #1, to be done prior to class on Wednesday, August 27
Read Sec. 1.1-1.2


Dates of Exams

Exam 1: Wednesday, September 24 in class.
Exam 2: Wednesday, October 29 in class.
Final: Monday, December 15, 5--8PM in our usual classroom.