Introduction to Formal Mathematics (Math 108 section 01)

"But without some common baseline of facts; without a willingness to admit new information, and concede that your opponent is making a fair point, and that science and reason matter, we'll keep talking past each other, making common ground and compromise impossible."

- President Barack Obama
(Farewell Address)

Class times: 9:00AM - 10:15AM, TuTh (Tahoe 1027)
Office Hours: M,W 2:30PM - 3:30PM, T 1:00PM - 2:00PM, Th 10:30AM - 11:30AM, or by appointment

The general course information can be found in the course information handout. Student grades are maintained on SacCT.

Writing Assignments (Due Fridays)


Writing 10

[updated 04.25.17]

Writing 09

[updated 04.12.17]

Writing 08

[updated 03.31.17]

Writing 07

[updated 03.16.17]

Writing 06

[updated 03.01.17]

Writing 05

[updated 02.19.17]


Writing 04

[updated 02.12.17]

Writing 03

[updated 02.03.17]

Writing 02

[updated 02.01.17]

Writing 01

[updated 01.22.17]

Homework Assignments (Due Tuesdays, usually)


Homework 12

[updated 05.05.17]

Homework 11

[updated 04.27.17]

Homework 10

[updated 04.24.17]

Homework 09

[updated 04.06.17]

Homework 08

[updated 03.30.17]

Homework 07

[updated 03.15.17]


Homework 06

[updated 03.03.17]

Homework 05

[updated 02.24.17]

Homework 04

[updated 02.16.17]

Homework 03

[updated 02.08.17]

Homework 02

[updated 01.30.17]

Homework 01

[updated 01.23.17]

Handouts


Outline for Final Exam

[updated 05.11.17]

Outline for Exam 2

[updated 04.15.17]

Outline for Exam 1

[updated 03.03.17]

Syllabus

[updated 01.18.17]

Learning LaTeX

[updated 01.29.17]

Course Log

Week 13
[04.27.17] - Thursday

Continued with one-to-one and onto.

Sections covered: 4.3 (continued)
[04.25.17] - Tuesday

Wrapped up 4.2 with restrictions, and then moved on to one-to-one and onto.

Sections covered: Section 4.2 (finished), 4.3 (started)
Week 12
[04.20.17] - Thursday

Exam—Good Luck!

Sections covered: None.
[04.19.17] - Tuesday

Functions.

Sections covered: Section 4.1 (finished), 4.2 (started)
Week 11
[04.13.17] - Thursday

An application: modular arithmetic.

Sections covered: Section 3.4, Section 4.1 (started)
[04.11.17] - Tuesday

Connecting equivalence relations and partitions.

Sections covered: Section 3.2 (finished), Section 3.3
Week 10
[04.06.17] - Thursday

More with equivalence relations.

Sections covered: Section 3.2 (finished)
[04.04.17] - Tuesday

On to equivalence relations.

Sections covered: Section 3.1 (finished), Section 3.2 (started)
Week 9
[03.30.17] - Thursday

Fibonacci numbers today. And then back to basic set theory.

Sections covered: Section 2.5 (finished), Section 3.1 (started)
[03.28.17] - Tuesday

Back from break. More induction, strong induction, and WOP.

Sections covered: Section 2.4 (finished), Section 2.5 (started)
Week 8
[03.16.17] - Thursday

More induction examples today. Happy Break!

Sections covered: Section 2.4 (continued)
[03.14.17] - Tuesday

Finished up Section 2.3 and then got started on induction. Oh, and Happy $\pi$ Day!

Sections covered: Section 2.3 (finished), Section 2.4 (started)
Week 7
[03.09.17] - Thursday

Exam today. Hope it went really well!

Sections covered: None
[03.07.17] - Tuesday

Wrapped up basic set operations with the Cartesian product, and then started in on "big" intersections and unions.

Sections covered: Section 2.2 (finished), Section 2.3 (started)
Week 6
[03.02.17] - Thursday

Started by discussing the sets of the form $a+5\mathbb{Z}$ before working our way through proofs of several of the theorems about the various basic set operations.

Sections covered: Section 2.2 (continued)
[02.28.17] - Tuesday

Talked more about the power set as well as other set operations. Also worked in a brief discussion of Russell's Paradox with a plug for Math 162 in the fall. Definitely consider it!

Sections covered: Section 2.1 (finished), Section 2.2 (started)
Week 5
[02.23.17] - Thursday

Kept working through the basics of set theory today, finishing with the power set.

Sections covered: Section 2.1 (continued)
[02.21.17] - Tuesday

We focused on grading proofs today. I loved how much attention you all paid not just to the mathematics but also to the writing style!

Sections covered: Section 1.6 (finished), Section 2.1 (started)
Week 4
[02.16.17] - Thursday

More or less wrapped up our formal discussion of proofs. Now it's time to practice, a whole lot!

Sections covered: Section 1.6 (finished)
[02.14.17] - Tuesday

More contradictions and more quantifiers.

Sections covered: Section 1.4-1.5 (finished), Section 1.6 (started)
Week 3
[02.09.17] - Thursday

$\sqrt{2}$ is irrational—now we know why.

Sections covered: Section 1.4-1.5 (continued)
[02.07.17] - Tuesday

Started with more quantifier talk; there were lots of great questions. And then, we finally started proving things—yay!

Sections covered: Section 1.4-1.5 (started)
Week 2
[02.02.17] - Thursday

Lots of quantification today! We'll start with a little more next time.

Sections covered: Section 1.3 (finished)
[01.31.17] - Tuesday

Started with a great discussion about translating English sentences to symbolic logic, with a focus on ``only if'', ``necessary'', and ``sufficient''. After that, we launched into quantifiers.

Sections covered: Section 1.2 (finished), Section 1.3 (started)
Week 1
[01.26.17] - Thursday

Talked about connectives, logical equivalence, and conditionals (which are, admittedly, a bit strange).

Sections covered: Section 1.1 (finished), Section 1.2
[01.24.17] - Tuesday - First day!

Great to meet you all! Make sure to sign up for a ShareLaTeX account and get started on Writing Assignment 01. It's due this coming Thursday!

- This is what we're aiming for! -

Sections covered: Section 1.1 (started)