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
Preview:  Talk about Test I


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
Preview:  Talk about Test 2


Writeup:  Nothing! Prepare for Test 2

Homework:  Prepare even more for Test 2

Thurs Nov 15

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


Writeup:  None

Homework:  Read Section 7.1 and do problems 2, 3, 4, 6, 9, 11, 12, 13

Tues Nov 20

(THANKSGIVING BREAK)

Thurs Nov 22

(THANKSGIVING BREAK)

Tues Nov 27

Get back:  Test 2
Turn in:  Nothing
Q&D:  7.1 Graphs
Preview:  9.1 Pascal’s Triangle


Writeup:  Section 7.1 problems TBD

Homework:  Read Section 9.1 and do problems 1, 5, 7, 8, 9, 10, 19

Thurs Nov 29

Get back:  Nothing
Turn in:  7.1
Q&D:  9.1 Pascal’s Triangle
Preview:  9.2 Fibonacci Numbers


Writeup:  Section 9.1 problems TBD

Homework:  Read Section 9.2 and do problems 1, 2, 3, 4, 5, 9

Tues Dec 4

Get back:  7.1
Turn in:  9.1
Q&D: 9.2 Fibonacci Numbers


Writeup:  Section 9.2 problems TBD

Homework:  Prepare for the final exam

Thurs Dec 6

Get back:  9.1
Turn in:  9.2
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