# Homework Calendar

On each calendar day, the part above the line is what you should be ready to do in class; the part below the line is what you need to do before the next class period.

“Q&D” stands for “Quiz and Discuss”, and means that you should be ready to share your effort on any homework problem for the section, both on an Effort Quiz and by participating in discussions and board work.

### Tues Aug 28

Hello!
Q&D:  Proofs, groups, LaTeX, goals
Preview:  1.1–1.2 Sets & Operations

Writeup:  Create a LaTeX/Overleaf document that somehow introduces your group to the class. You must bring a *printed* copy to hand in.

Homework:  Read Sections 1.1 and 1.2 and do problems 3, 5, 8, 9 in 1.1 and 2, 4, 5, 6, 14 in 1.2

### Thurs Aug 30

Turn in:  LaTeX assignment
Q&D:  1.1–1.2 Sets & Operations
Preview:  1.3 Partitions

Writeup:  Section 1.1 #9b(evens), with reasons; and Section 1.2 #6 as a careful proof with the type of outline we discussed in class.

Homework:  Read Section 1.3 and do problems 3, 5, 6, 9, 12

### Tues Sept 4

Get back:  LaTeX assignment
Turn in:  1.1–1.2
Q&D:  1.3 Partitions
Preview:  1.4–1.5 Logic & Quantifiers

Writeup:  Section 1.3 #6d and #12

Homework:  Read Sections 1.4 and 1.5 and do problems 3, 4, 5, 6, 10, 12, 13 in 1.4 and 2, 3, 4, 5 in 1.5

### Thurs Sept 6

Get back:  1.1–1.2
Turn in:  1.3
Q&D:  1.4–1.5 Logic & Quanitifiers
Preview:  1.6 Implications

Writeup:  Section 1.5 #5, using the method of proof that we discussed for 1.4 #4.

Homework:  Read Section 1.6 and do problems 1, 4, 6, 8, 10, 11a

### Tues Sept 11

Get back:  1.3
Turn in:  1.4–1.5
Q&D:  1.6 Implications
Preview:  2.1 Proof Techniques I

Writeup:  Redo the Section 1.3 writeup and make it *perfect*. Hand it in stapled on top of your previous graded writeup.

Homework:  Read Section 2.1 and do problems 1, 4, 11, 13, 15, 16, 17, 18

### Thurs Sept 13

Get back:  1.4–1.5
Turn in:  1.6 (really 1.3 redo)
Q&D:  2.1 Proof Techniques I
Preview:  2.1 Proof Techniques II

Writeup:  Section 2.1 #16, do a careful writeup of the proof we did in class. Style, format, and clarity count.

Homework:  Read the rest of Section 2.1 and do problems 19, 20, 24, 28, 29, 30

### Tues Sept 18

Get back:  1.6 (really 1.3 redo)
Turn in:  2.1 (part I)
Q&D:  2.1 Proof Techniques II
Preview:  2.2 Mathematical Induction

Writeup:  Section 2.1 #24, show existence and uniqueness in two separate paragraphs.

Homework:  Read Section 2.2 and do problems 2adg, 4, 5, 6, 11, 12, 14, 15

### Thurs Sept 20

Get back:  2.1 (part I)
Turn in:  2.1 (part II)
Q&D:  2.2 Mathematical Induction
Preview:  2.3 Pigeonhole Principle

Writeup:  Section 2.2 #11a (induction) and 11b (directly). Hint for the second one: combine fractions…

Homework:  Read Section 2.3 and do problems 2, 4, 6, 9, 11, 15, 16

### Tues Sept 25

Get back:  2.1 (part II)
Turn in:  2.2
Q&D:  2.3 Pigeonhole Principle
Preview:  Review proofs, meet with each group

Writeup:  Section 2.3 #9d, carefully explain reasoning.

Homework:  Catch up, start preparing for the test! There will not be an “effort quiz” on Thursday.

### Thurs Sept 27

Get back:  2.2
Turn in:  2.3
Q&D:  Review proof techniques, question time
Preview: 3.1 Divisibility

Writeup:  Redo any one writeup to earn back missing points; hand in the new writeup stapled on top of the old one.

Homework: Read Section 3.1 and do problems 3, 9, 10, 14, 15, 16, 21, 24

### Tues Oct 2

Get back:  2.3
Turn in:  Rewrite
Q&D:  3.1 Divisibility

Writeup:  Section 3.1 #21, by induction

Homework:  Prepare for Test I

### Thurs Oct 4

Get back:  Nothing
Turn in:  Nothing
*** TEST 1 ***
Preview:  4.1 Getting from A to B

Writeup:  None

Homework:  Read Section 4.1 and do problems 1, 4, 6, 7, 9, 10

### Tues Oct 9

Get back:  Test 1, Rewrite
Turn in:  3.1
Q&D:  4.1 Getting from A to B
Preview:  4.2–4.3 Counting & Binomial

Writeup:  Section 4.1 #10, by induction. Make it great so we can stop doing induction please

Homework:  Read Sections 4.2–4.3 and do problems 1, 4, 6, 7, 8 in 4.2 and 4, 5, 6, 7, 9 in 4.3

### Thurs Oct 11

Get back:  3.1
Turn in:  4.1
Q&D:  4.2–4.3 Counting & Binomial
Preview:  4.4 Combinatorics

Writeup:  Section 4.3 #6, use a power set to argue that your answer is equal to 2^n

Homework:  Read Section 4.4 and do problems 1bd, 2, 3, 4, 6, 9, 10, 14

### Tues Oct 16

Get back:  4.1
Turn in:  4.2–4.3
Q&D:  4.4 Combinatorics
Preview:  4.5 Probability

Writeup:  Redo Section 4.3 #6 using an argument about counting subsets. Focus on good writing and constructing an elegant proof.

Homework:  Read Section 4.5 and do problems 2, 4, 6, 8, 9, 10

### Thurs Oct 18

Get back:  4.2–4.3
Turn in:  Redo of 4.3 (and SUMS writeup)
Q&D:  4.5 Probability
Preview:  5.1 Relations

Writeup:  Section 4.5 #8; make it nice and use prime factors

Homework:  Read Section 5.1 and do problems 2, 3, 4, 5, 7, 11, 15, 17

### Tues Oct 23

Get back:  Redo of 4.3
Turn in:  4.5
Q&D:  5.1 Relations
Preview:  5.2 Equivalence Relations

Writeup:  Section 5.1 #2 and #17c; take special care with language and notation

Homework:  Read Section 5.2 and do problems 1, 2, 3, 4, 5, 8

### Thurs Oct 25

Get back:  4.5
Turn in:  5.1
Q&D:  5.2 Equivalence Relations
Preview:  5.3 Partial Orders

Writeup:  Section 5.2 #4a, with proof following the outline in class; also describe [(1,2)] in symbols and in a picture

Homework:  Read Section 5.3 and do problems 2, 3, 7, 8, 13, 16

### Tues Oct 30

Get back:  5.1
Turn in:  5.2
Q&D:  5.3 Partial Orders
Preview:  5.4 Quotient Spaces

Writeup: None! Instead, get out of the hole you are in

Homework:  Read Section 5.4 and do problems 2,6,7,9

### Thurs Nov 1

Get back:  5.2
Turn in:  Nothing
Q&D:  5.4 Quotient Spaces
Preview:  6.1 Functions

Writeup:  Section 5.4 #6, with outline of proof as we discussed in class

Homework:  Read Section 6.1 and do problems 2, 3, 5, 9, 10, 11, 12, 13

### Tues Nov 6

Get back:  Nothing
Turn in:  5.4
Q&D:  6.1 Functions
Preview:  6.2 Inverse Relations

Writeup:  Section 6.1 #12a and #12b (proofs only); follow the proof starting points and outlines from class

Homework:  Read Section 6.2 and do problems 3, 4, 5, 8, 9, 12, 15

### Thurs Nov 8

Get back:  5.4
Turn in:  6.1
Q&D:  6.2 Inverse Relations
Preview:  6.3 Cardinality of Infinite Sets

Writeup:  None. Use spare time to catch up and/or prepare for Test 2

Homework:  Read Section 6.3 and do problems 2, 3, 6, 8, 9, 10

### Tues Nov 13

Get back:  6.1
Turn in:  Nothing
Q&D:  6.3 Cardinality of Infinite Sets

Writeup:  Nothing! Prepare for Test 2

Homework:  Prepare even more for Test 2

(Snow Day!)

### Tues Nov 20

(THANKSGIVING BREAK)

### Thurs Nov 22

(THANKSGIVING BREAK)

### Tues Nov 27

Get back:  Nothing
Turn in:  Nothing
*** TEST 2 ***
Preview:  7.1 Graphs

Writeup:  None

Homework:  Read Section 7.1 and do problems 3, 4, 6, 9, 11, 12

### Thurs Nov 29

Get back:  Test 2
Turn in:  Nothing
Q&D:  Go over Test 2, discuss 7.1 Graphs
Preview:  None

Writeup:  Redo any ONE proof. Make it awesome please

Homework:  Finish any remaining homework

### Tues Dec 4

Get back:  Nothing
Turn in:  Last redo writeup
Q&D:  More discussion of 7.1 Graphs
Preview:  Talk about the final exam

Writeup:  None

Homework:  Study for the final! Work together as much as possible and you will do better

### Thurs Dec 6

Get back:  7.1
Turn in:  Nothing – but DOUBLE effort quiz today, so be there!
Q&D:  Final exam, course evaluations

Writeup:  None!

Homework:  Prepare for the final exam some more 🙂

### Thurs Dec 13

FINAL EXAM 10:30am-12:30pm