2/3-2/5

Integers: arithmetic and order

Sections 1 and 2 from my notes

Skim chapter 1 (especially 1.1, 1.4 and 1.6) from the textbook.

Notes and homework available in Google Drive folder. I’ve already posted the first homework and will aim to post each future homework by (at the latest) the Thursday before it’s due. Please email me if you’re not finding it by then.

2/8-2/12

Well-ordering principle, b-ary expansions,

Sections 3, 4, and 5 from my notes.

Textbook sections 2.1, 2.4

Note recent changes to time and place for office hours on course homepage. From now on, they’ll happen Mondays 5-6:30 in Bond 114 (not 104). Also, I’ll now use the same zoom url for office hours that I use for lectures.

Homework 1 due Wed 2/10

2/15-2/19

Divisibility and the Euclidean algorithm

Diophantine equations, prime factorization

Section 5 in my notes.

Textbook sections 2.2, 2.3, 2.5

Starting with homework 2, you should turn in your homework solutions via the google form pointed at by the url I put in the contact file.

2/22-2/26

Sets, equivalence relations and congruence

Section 6 in my notes.

Textbook sections 1.3, 3.1, 3.3

Somehow I misread the date/time for our final exam on the registrar schedule. The correct (i.e. registrar mandated) date and time are 1:45-3:45 PM, Mon May 17,

3/1-3/5

More congruences

Textbook sections 3.2, 3.4-3.6

Notes section 7

Minibreak March 2

3/8-3/12

RSA Encryption

Induction and the binomial theorem

Textbook 7.3 and 7.4

Textbook 4.1 and 4.3

I put a review sheet for the 1^st midterm in the Drive folder.

Please email me (with explanation) if you will not be able to take the 1^st term in person, and I’ll work with you to make arrangements.

3/15-3/19

Rational numbers

Textbook section 5.1

Notes, section 8

1^st midterm Wednesday, March 17 in class. Office hrs on Monday 3/15 dedicated to review for the exam.

3/22-3/26

Rational numbers 

Functions

Textbook 6.1-6.5

3/29-4/2

More functions, cardinality

Text 6.6; also see my notes for a proof of the Schroeder Bernstein Theorem

No class April 2: Good Friday

There’s a slight update to hwk 7 (to fix a typo in the hint to the last prob) and a larger update to hwk 8.

Note that I’ve now separated out all extra credit problems into a file of their own in the Drive homework folder. I’ve also added a section near the end of my notes with various tips about how to write and approach proofs. Take it for what it’s worth.

4/5-4/9

Sequences,

Notes, sections 9,10

4/12-4/16

sequences,

Notes, section 11

4/19-4/23

and more sequences

Notes, sections 12,13

No class April 21: minibreak

4/26-4/30

continuity

Notes, section 14

2^nd midterm, Wednesday, April 28 in class

5/3-5/7

complex numbers

Text 8.1-8.7

5/10

complex numbers

Notes , section 15 for fundamental theorem of algebra.

Final exam Monday, May 17 from 1:45-3:45 PM, in our regular classroom 129 HH (note change from earlier—2/24/20).