Math 3325: Transitions to Advanced Mathematics, Fall
2016
Basic Info
Assignments
A couple extra items for those of you that wish to learn more about some topics we discussed in class:
Proof Problem #5, Due Friday, December 2
Here is Proof Problem #5.
Homework #11, Due Wednesday, November 30
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.)
Reading Assignment #14, to be done prior to class on Wednesday, November 30
Read Sec. 5.5.
Homework #10, Due Monday, November 21
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 #13, to be done prior to class on Monday, November 21
Read Sec. 5.4.
Proof Problem #4, Due Wednesday, November 16
Here is Proof Problem #4.
Homework #9, Due Monday, November 14
Please do these problems.
Reading Assignment #12, to be done prior to class on Friday, November 11
Read Sec. 5.1-5.3.
Reading Assignment #11, to be done prior to class on Wednesday, November 2
Read Sec. 4.4 and 4.5. (Note: We will be skipping Section 4.6.)
Proof Problem #3, Due Monday, November 7
Here is Proof Problem #3.
Reading Assignment #10, to be done prior to class on Wednesday, November 2
Read Sec. 4.4 and 4.5. (Note: We will be skipping Section 4.6.)
Announcement:
Remember that, as stated in the syllabus and
announced on the first day of class, there is No Class and No Office Hours on Friday, November 4 because I will
be at a conference.
Announcement:
You received your graded Exam 2 back on Friday,
October 28. There is no
homework due on Wednesday, Nov. 2. Instead, use this week to go over the exam and
review material and concepts covered on problems that you missed. In preparation
for the final, the same post-exam reflection that you looked at after Exam 1
can be used to help you think about how you are studying and working on the material.
Homework #8, Due Wednesday, October 26
Please do these problems.
Reading Assignment #9, to be done prior to class on Wednesday, October 19
Read Sec. 4.1-4.3
Handout from Class on Wednesday, October 19
Here is a handout that you may find interesting. It is a list of the ZF+C axioms (i.e.,
the Zermelo-Fraenkel 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.
• ZF+C, the Standard Axioms of Set Theory
Extra Problem - Nothing to be Turned In.
This is an Extra Problem on the
Well-Ordering Principle.
Homework #7, Due Wednesday, October 19
Please do these problems.
Reading Assignment #8, to be done prior to class on Wednesday, October 12
Read Sec. 3.1-3.4
Homework #6, Due Wednesday, October 12
Sec. 2.4 #6(c), (e), (g), (h), #7 (d), #8(b), #11; Sec. 2.5 #1(b), 2, 5(b)
Proof Problem #2, Due Monday, October 10
Here is Proof Problem #2.
Reading Assignment #7, to be done prior to class on Wednesday, October 5
Read Sec. 3.1-3.2
Homework #5, Due Wednesday, October 5
Please do these problems.
Reading Assignment #6, to be done prior to class on Wednesday, September 28
Read Sec. 2.4-2.5
Announcement:
You received your graded Exam 1 back on Friday,
September 23. There is no
homework due on Wednesday, Sept. 28. 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.
Announcement:
Exam #1 will be Wednesday, Sept. 21 in class.
Reading Assignment #5:
Nothing. Prepare for Exam #1.
Homework #4, Due Wednesday, September 21
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);
Proof Problem #1, Due Monday, September 19
Here is Proof Problem #1.
Reading Assignment #4, to be done prior to class on Wednesday, September 14
Read Sec. 2.1-2.3
Homework #3, Due Wednesday, September 14
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 7
Read Sec. 1.6-1.7
Homework #2, Due Wednesday, September 7
Please do these problems.
Reading Assignment #2, to be done prior to class on Wednesday, August 31
Read Sec. 1.3-1.5
Homework #1, Due Wednesday, August 31
Please do these problems.
Reading Assignment #1, to be done prior to class on Wednesday, August 24
Read Sec. 1.1-1.2
Homework #0: Nothing to Turn In.
Learning to write proofs is difficult, and you will be challenged
in many ways throughout this course. Research has shown that the students that are the
most successful are the ones who have two qualities: Growth Mindset and
Grit. View, read, and watch the following resources on Growth Mindset
and Grit. Throughout the course, do your best to keep these ideas in mind as you encounter
difficult portions of the material.
- Growth Mindset is the belief that your ability to learn is not fixed, that
you become better at any subject with effort and practice, and that failure is not
permanent.
- Grit is the ability to stick with and pursue a goal over a long period of
time. This includes the ability to stay determined and motivated
despite experiences with failure or adversity.
Dates of Exams
Exam 1: Wednesday, September 21 in class.
Exam 2: Wednesday, October 26 in class.
Final: Wednesday, December 14, 11AM--2PM in our usual classroom.