"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: 9:00
Office Hours: M,W 2:30
The general course information can be found in the course information handout. Student grades are maintained on SacCT.
Writing Assignments (Due Fridays)
Homework Assignments (Due Tuesdays, usually)
Handouts
Course Log
Week 13 |
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[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) |