Important Announcements

You can drop your takehome exams between noon and 4pm today.
If the building is locked, call 6036461720 to be let in. 
Typo alerts!

Problem C2 of the takehome exam should start with
Show that every
, i.e., the question has an extra 'for' after 'that'. 
Problem D2 of the takehome exam should end with
such that \(T = S_d^\alpha\)
, i.e., the last '\(U\)' should be an '\(S\)'. 
Problem D3 of the takehome exam should start with
Show that \(T:\mathsf{V}\to\mathsf{V}\) is
, i.e., the question has an extra 'if' after 'that'.

Problem C2 of the takehome exam should start with
Below you will find the class schedule, with assigned reading and homework, in reverse chronological order.
 Regular homework assigned in a given week is due Wednesday of the following week.
 Special homework assigned in a given week is due Friday of the following week.

Any problem that you are asked to
attempt
before class is for practice only. Do not submit these problems with your regular homework.
Any exceptions to these rules will be indicated in the class schedule below.
 Sat 5/31
 Final exam from 8am to 11am in Kemeny 105
 Any special assignment resubmissions must be done before 5pm on Wednesday, May 28
 Wed 5/28

Read section 7.2
Attempt §7.2: 1, 2, 3 before class
Slides used in class
Class worksheet with sample solutions
 Start Take Home Exam 2 due June 1
 Fri 5/23

Read section 7.1
Attempt §7.1: 1, 2ac, 3ac before class
Work on §7.1: 7abcd after class
Quiz on §6.1§6.4 during class
 Wed 5/21

Read section 6.6
Attempt §6.6: 1, 2 before class
Work on §6.6: 4*, 6 after class
 Mon 5/19

Review section 6.4
Attempt §6.4: 1, 2ace, 3 before class
Work on §6.4: 5, 9* after class
Slides used in class 
Read section 6.5 up to Theorem 6.21 before May 23
This is to prepare for the second takehome exam, where there will be one question on the material from §6.5. You should read and understand that section before the exam is handed out on Friday, May 23. The material after Theorem 6.21 is instructive and may help you better understand the ideas of §6.5, but it is not essential for answering the question related to §6.5 on the takehome exam.
 Fri 5/16

Read section 6.4
Attempt §6.4: 1, 2ace, 3 before class
Slides used in class  Thu 5/15

Read section 6.3
Attempt §6.3: 1, 2ac, 3ac before class
Work on §6.3: 2b, 3b, 12a* after class
Quiz on §5.1§5.4 during class
 Wed 5/14

Review section 6.2
Attempt §6.2: 1, 2cei, 3, 4 before class
Work on §6.2: 2bd, 9 after class
Class worksheet with sample solutions
 Mon 5/12

Read sections 6.1 and 6.2
Attempt §6.1: 1, 2, 3 before class
Work on §6.1: 4, 12*, 17 after class
Slides used in class  Start Special Assignment 5 due Friday, May 16
 Fri 5/9

Review section 5.4
Work on §5.4: 6bd, 7* after class
Worksheet used in class  Thu 5/8

Read section 5.4
Attempt §5.4: 1, 2, 3 before class
Quiz on §4.1 to §4.4 during class
 Wed 5/7

Read section 5.2
(You may omit the part on differential equations)
Attempt §5.2: 1, 2ace, 3ace before class
Work on §5.2: 2f, 3f, 7, 11b* after class
Slides used in class  Mon 5/5

Read section 5.1
Attempt §5.1: 1, 2ace, 19 before class
Work on §5.1: 3cd, 4di, 6* after class
Slides used in class  Start Special Assignment 4 due Friday, May 9
 Fri 5/2

Read section 4.4 before class
Attempt §4.4: 1, 2ac, 3ac, 4ac before class
 Thu 5/1

Read section 4.3 before class
Attempt §4.3: 1, 2 before class
Work on §4.3: 11, 12 after class
Quiz on §3.1 to §3.4 during class
Class worksheet with some sample solutions  Wed 4/30

Classroom change to Kemeny 343
Read sections 4.1 and 4.2 before class
Practice quiz on §3.1 to §3.4 during class
Attempt §4.1: 1, 2 and §4.2:1, 2, 3, 4 before class
Work on §4.1: 9, 10, 11* and §4.2: 23*, 24 after class
Slides used in class  Mon 4/28

Read section 3.4 before class
Attempt §3.4: 1, 2ceg, 3 before class
Work on §3.4: 4b, 15* after class
Class worksheet with sample solutions
 Take Home Exam 1 due by 3pm on Friday, April 25
 Fri 4/25

Special room: Kemeny 343
Review section 3.3. before class
Attempt §3.3: 1, 2ace, 3ace, 4 before class
Work on §3.3: 7be, 10 after class
Slides used in class  Thu 4/24

Special room: Kemeny 343
Read section 3.3 before class
Class worksheet with sample solutions
 Wed 4/23

Read section 3.2 before class
Attempt §3.2: 1, 2ace, 4, 5ace before class
Work on §3.2: 6bf, 13b*, 19 after class
Slides used in class
 Mon 4/21

Read section 3.1 before class
Attempt §3.1: 1, 2, 3ac before class
Work on §3.1: 8* after class
Class worksheet with sample solutions
 Start Take Home Exam 1 due Friday, April 25
 Fri 4/18

Review sections 1.16 and 2.15 before class
Bring at least one written question to class
 Thu 4/17

Read section 2.5 before class
Attempt §2.5: 1, 2ac, 3ac, 4, 5 before class.
Work on §2.5: 6bd, 9, 12* after class
Class worksheet with sample solutions  Wed 4/16

Read section 2.4 before class
Attempt §2.4: 1, 2, 3 before class
Work on §2.4: 4, 7, 16* after class
Optional makeup quiz on §2.1 to §2.3 during class
Slides used in class
 Mon 4/14

Review sections 2.2. and 2.3 before class
Quiz on §2.1 to §2.3 during class
Slides used in class
 Start Special Assignment 3 due Friday, April 18
 Fri 4/11

Review section 2.2 and read section 2.3 before class (you may omit the applications part at the end)
Work on §2.3: 3, 4bd, 11* after class
Class worksheet with sample solutions  Thu 4/10

Read section 2.2 before class
Work on §2.2: 5bde, 8*, 10 after class
Worksheet for woozle flows with sample solutions  Wed 4/9

Attempt problems from the worksheet
Review section 2.1 before class
Quiz on §1.4 to §1.6 during class
Class worksheet with sample solutions
Slides used in class  Mon 4/7

Read section 2.1 before class
Work on §2.1: 5, 14*, 21 after class
 Start Special Assignment 2 due Friday, April 11
 Fri 4/4

Attempt to prove Theorems 2, 3, 4 of the worksheet
Review the proof of Theorem 1.10 before class
Class worksheet with sample solutions
Slides used in class  Thu 4/3

Read section 1.6 before class
Work on §1.6: 11*, 14, 16 after class  Wed 4/2

Read section 1.5 before class
Quiz on §1.1 to §1.4 during class
Work on §1.5: 2bf, 7, 17* after class
Class worksheet with sample solutions  Mon 3/31

Read section 1.4 before class
Work on §1.4: 5dfh, 10, 12* after class
Class worksheet with sample solutions  Start Special Assignment 1 due Friday, April 4
 Fri 3/28

Read section 1.3 before class
Work on §1.3: 10, 13, 19* after class  Thu 3/27

Read the handout on proof strategies before class
Review section 1.2 and continue working on §1.2: 9*, 18 after class
Also review the handout on proof strategies and read the discussion added at the end after class  Wed 3/26

Read sections 1.1 and 1.2 before class
Work on §1.2: 9*, 18 after class  Mon 3/24

Read appendix C in class
Work on Quiz 0 due Wednesday 3/26
Notes and Sample Solutions
 \(\mathrm{\LaTeX}\) video tutorials
 Homework notes for week 1
 Homework notes for week 2
 Homework notes for week 3
 Homework notes for week 4
 Homework notes for week 5
 Homework notes for week 6
 Homework notes for week 7
 Homework notes for week 8
 Sample solutions for quiz 1
 Sample solutions for quiz 2
 Sample solutions for quiz 3
 Sample solutions for quiz 3 (makeup)
 Sample solutions for quiz 4 (practice)
 Sample solutions for quiz 4
 Sample solutions for quiz 5
 Sample solutions for quiz 6
 Sample solutions for quiz 7
 Sample solutions for exam 1
Regular Homework Guidelines
In order to get credit for regular homework assignments, you must follow the following guidelines. Your submission must be completely legible, on standard lettersize paper. Your submission must be stapled into one packet.

Each starred problem must be on its own page, with no other problems above or below, even if you use multiple pages to solve the problem. Solutions to starred problems must be formulated in theoremproof form. You will have to reformulate the problem in the form of a theorem in order to do this. Keep in mind that problems are often formulated as questions or instructions (
prove that
,show that
) but theorems are just statements of fact, they don't instruct you to do anything.For example, a plausible theorem statement matching §1.3#15 is:
Theorem. The set of all differentiable realvalued functions defined on \(\mathbb{R}\) form a subspace of \(\mathsf{C}(\mathbb{R})\).
If a problem has multiple parts, you may need to have more than one theorem for your solution.

Nonstarred problems can be gathered together on the same page but leave enough room for the grader to make notes.
You must restate each problem before you solve it. You are encouraged to restate the problem in your own words. For example, a good way to start a solution to §1.2#11 is:
I will show that the set \(\mathsf{V} = \{0\}\) that consists of the single vector \(0\) with \(0 + 0 = 0\) and \(c0 = 0\) for every scalar \(c\) in \(F\) is a vector space.
Make sure all problems are appropriately labeled.