CV [Teaching] Media Life Home

Math 310: Linear Algebra

““

Announcements:

Week 15

[04.25.17]

Today we did section 4.1 Introduction to Spectral Theory. The homework problems corresponding to today’s lecture are the following:

  • 4.1 (p. 104): 1.1(a,b,c,g,h), 1.2, 1.5

I will host a review session on Wednesday 04.26 in College Hall 446 from 5:00-6:00. Please come prepared with questions.

[04.27.17]

Today we did an example of eigenvectors and eigenvalues and I handed out the final exam review sheet. As you begin to prepare for the final exam, you may find the following helpful:

Don’t forget to review the homework problems, and come prepared with questions on Tuesday next week.

Week 14

[04.20.17]

Today we had our last quiz of the semester. We also finished our discussion of determinants by completing section 3.5 on the Cofactor Expansion Method. The homework problems corresponding to today’s lecture are the following:

  • 3.5 (p. 94): 5.1,5.2

Week 13

[04.11.17]

Today we finished section 3.1 and parts of 3.2 and 3.3 about Determinants. The homework problems corresponding to today’s lecture are the following:

  • 3.3 (p. 85): 3.1 3.2, 3.3, 3.4, 3.5, 3.7, 3.8

We won’t have class on 4.13 or 4.18 but we will have a quiz on Thursday 4.20 covering all of the homework problems since the last quiz. I will do a homework review session on Wednesday 4.19 at 5:00 in 446 College Hall. Please come prepared with questions.

Remember all extra credit materials are due by Wednesday at 5:00. I will not accept late extra credit.

Week 12

[04.04.17]

Today we did section 2.8 on the Change of Basis Matrix. Homework problems corresponding to today’s lecture are the following:

  • 2.8 (p. 72): 8.1 (a,b), 8.3, 8.4

We will have a quiz on Thursday 04.06, it will cover the problems from sections 2.7 and 2.8. I will do a homework review session on Wednesday evening this week 5:00-6:00 in College Hall 446. Please come prepared with questions.

You can find details here about the extra credit talks this weekend. All of the talks are happening in the Power Center Ballrooom Section A. Same offer as usual, three facts and one question for 2 quiz bonus points.

Some of you mentioned that you work full time and can’t make the weekend talks, and I understand that’s not quite fair. So for those of you who can’t make the talks, I have the following alternative extra credit scheme. I’ve found three interesting math articles, one on gerrymandering, one on ride sharing, and one on paradoxes and strangeness. For each article, you can read it and submit a 350 word review of the article for two quiz bonus points, due by Wednesday 04.12. Note, this offer cannot be combined with the seminar offer, that is, you are capped at 6 total bonus points.

[04.06.17]

Today we did another example from section 2.8 on the Change of Basis Matrix. Homework problems corresponding to today’s lecture are the following:

  • 2.8 (p. 72): 8.2

Have a great weekend, and take a moment to enjoy this great rant about the golden ratio.

Week 11

[03.28.17]

Today we did worksheet 1 from section 2.7, solutions are below.

[03.28.17]

Today we did worksheet 2 from section 2.7, solutions are below.

Week 10

[03.21.17]

Today we covered section 2.6 about General Solutions to Linear Systems. I am not assigning any additional homework today. There is a quiz on Thursday, and its problems will come from among the following:

  • 2.2 (p. 46): 2.1, 2.2
  • 2.3 (p. 51): 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
  • 2.4 (p. 54): 4.1
  • 2.5 (p. 55): 5.1, 5.2, 5.3, 5.6

I’ve added fully worked out solutions to all of these below. I will host a homework review session on Wednesday evening 5:00-6:00 in College Hall 446. Please come prepared with questions.

Also, there is an extra credit opportunity in the form of a seminar this Wednesday 2:00-3:00 in College Hall 446. Same offer as usual: attendance in the seminar plus submitting three facts and one question will get you 2 bonus points on the quiz.

Week 9

[03.14.17]

Today we worked on section 2.3 Analyzing the pivots. Homework questions for today’s lecture are the following:

  • 2.3 (p. 51): 3.1, 3.2, 3.3, 3.6

I’m afraid I can’t host the weekly homework review session this Wednesday, but the room is still available from 4-6 and I encourage you to work on problems together.

[03.16.17]

Today we finished sections 2.3, 2,4 and 2.5. The homework problems corresponding to today’s lecture are the following:

  • 2.3 (p. 51): 3.4, 3,5
  • 2.4 (p. 54): 4.1
  • 2.5 (p. 55): 5.1, 5.2, 5.3, 5.6

Have a great weekend, and take a moment to enjoy this video explaining why The Simpsons use the decimal system despite the fact that they only have 8 fingers.

Week 8

[02.28.17]

Today I passed out a review guide for Exam 1, which is taking place on Thursday 03.02. The exam will include a definition section, and several problems similar (but not identical) to the claims on the review sheet. I will hold a review session on Wednesday 03.01 in COLH 446 at 5:00-6:00 (note the change in time from what I said in class today). Please come prepared with questions.

[03.02.17]

Your midterm grades are posted, and I’m really pleased with the outcome. It’s clear that you all studied a great deal and your efforts paid off. Also, I’ve decided to drop your lowest quiz grade. Have a wonderful break!

Week 7

[02.21.17]

Here is a photo of Sidney Crosby right after scoring his 1000th goal point last week. How can we use linear algebra to describe this image?

““

How can we use linear algebra to manipulate the image?

Here is a demo you can play with to see how you can manipulate a simple 2-D image.

Reminder, we have an exam on Thursday 03.02 it will cover everything we’ve done from Chapter 1 (except section 1.8, that will not be on the exam). There will be another extra credit opportunity on Friday 12:00-1:00 in COLH 446, same deal as always: attend and write up three facts and one question for 2 bonus points on your exam.

Finally, I will do my usual weekly review session on Wednesday, 3:00-4:00 in COLH 446. Come with homework questions, class content questions, or questions about the exam!

[02.23.17]

Today we covered section 2.1 The Difference Faces of Linear Systems and 2.2 on Row Reduction. Homework problems for today’s lecture are the following:

  • 2.2 (p. 46): 2.1, 2.2

Remember, there will be another extra credit opportunity on Friday 02.24 at 12:00-1:00 in COLH 446, same deal as always: attend and write up three facts and one question for 2 bonus points on your exam.

Week 6

[02.14.17]

Today we continued section 1.6. Homework problems associated to today’s lecture are:

  • 1.6 (p. 29): 6.8, 6.9, 6.10, 6.12, 6.13

Our next quiz is on 02.16. There is an extra credit opportunity on Wednesday 02.15. There will be a seminar talk at 2:00 in COLH 446. To receive 2 bonus points on this week’s quiz come to the seminar and write down 3 facts and 1 question that you have from the talk. You can hand it in to me on Thursday.

Also, there will be a homework review session on Wednesday, 4:00-5:00 in COLH 446. Please come prepared to talk about the homework problems from the week.

[02.16.17]

Today we had Quiz 3, solutions to section 1.5 and 1.6 homework problems are below. We also covered section 1.7 on Subspaces of Vector Spaces. Homework problems for today’s lecture are:

  • 1.7 (p. 31): 7.1, 7.2, 7.3, 7.4

If you’re having difficulty with the concept from class, here are some resources that you might find helpful:

Our first exam will be on Thursday 03.02. And finally, enjoy the weekend with these mathematical valentines.

Week 5

[02.07.17]

Today we finished our discussion of section 1.5. We concluded with an example using a composition of linear transformations to compute the matrix of a linear transformation. Full details of this example are worked out on p. 20 of the textbook. Homework problems corresponding to today’s lecture are:

  • 1.5 (p. 23): 5.3, 5.8

Notice that I added fully worked out solutions to the problems from 1.3 and 1.4 below. I will continue to add solutions as the semester goes on.

[02.09.17]

Today we started section 1.6 Invertible Transformations and Isomorphisms. Homework problems associated to today’s lecture are:

  • 1.6 (p. 29): 6.2, 6.3, 6.4, 6.5

Our next quiz is on 02.16. Have a great weekend and feel free to waste some time playing this really fun and addictive geometry game.

Week 4

[01.31.17]

Today we discussed the vector space of linear transformations, section 1.4 in the textbook. For today, in lieu of homework from the book, I am assigning the following two problems based on today’s lesson:

  • 4.1: For vector spaces V and W, show that ℒ(V,W) satisfies vector space axiom 2 on p. 1 of the textbook. Show each step carefully and be sure to clearly identify and quantify your variables.
  • 4.2: For vector spaces V and W, show that ℒ(V,W) satisfies vector space axiom 8 on p. 1 of the textbook. Show each step carefully and be sure to clearly identify and quantify your variables.

We will have a quiz on Thursday 02.02, it will contain a broad selection of problems from among the following:

  • 1.2 (p. 11): 2.2-2.6
  • 1.3 (p. 16): 3.1-3.7
  • 1.4: questions 4.1 and 4.2 above.

[02.02.17]

Today we had a quiz and we started section 1.5 on Compositions of Linear Transformations. Here are the suggested homework problems for today:

  • 1.5 (p. 23): 5.1, 5.2, 5.5, 5.7

Our next quiz will be on 02.16. Have a great weekend, and enjoy this nice blog post on why it’s never good to say “I suck at math.”

Week 3

[01.24.17]

Today we began with a note on bases and matrix multiplication. We discussed the column interpretation of an arbitrary vector, this is discussed at length in Remark 2.4 on p. 7 of the textbook. We also discussed the coordinate by column and row by column rules for multiplying a matrix and a vector. You can see more about this on p. 14-15 of the textbook. For the second half of class we started section 1.3 on Linear Transformations. Here are some suggested homework problems from today:

  • 1.3 (p. 16): 3.1, 3.2, 3.3, 3.7

Our next quiz will be on 02.02.

[01.26.17]

Today we finished section 1.3 on Linear Transformations and we ended class with several examples of how to compute the matrix associated to a linear transformation. Suggested homework problems from today are:

  • 1.3 (p. 16): 3.4, 3.5, 3.6

Our next quiz will be on 02.02. Have a great weekend, and take a moment to enjoy this video about the wonders of infinity.

Week 2

[01.17.17]

Today we got through the first half of section 1.2 on Linear Combinations and Bases. Our first quiz will be on Thursday 01.19.17 and will come directly from the amended list of 1.1 and 1.2 homework below:

  • 1.1 (p. 5): 1.1-1.8
  • 1.2 (p. 11): 2.1

[01.19.17]

Today we had our first bi-weekly quiz and we finished section 1.2 on Linear Combinations and Bases. Our next quiz (on 02.02) will include the problems below:

  • 1.2 (p. 11): 2.2-2.6

Have a great weekend, and take a moment to enjoy these mathematical gifs.

Week 1

[01.12.17]

Today we covered section 1.1 in Linear Algebra Done Wrong. Our first quiz will be on Thursday 01.19. Quiz questions will come from among the following:

  • 1.1 (p. 5): 1.1-1.8
  • 1.2 (p. 11): 2.1-2.6

Week 0

The text we will be using for this course is Linear Algebra Done Wrong, by Sergei Treil. The book is available here as a free pdf download.

My office is in 418 College Hall. This semester I will hold office hours on:

  • Tuesdays, 2:00-4:00.
  • Wednesdays, 12:00-2:00.

Course Materials:

Syllabus
[uploaded 01.11.17]
Section 1.3 Solutions
[uploaded 02.03.17]
Section 1.4 Solutions
[uploaded 02.03.17]
Section 1.5 Solutions
[uploaded 02.16.17]
Section 1.6 Solutions
[uploaded 02.16.17]
Section 1.7 Solutions
[uploaded 02.23.17]

Homework 2.2 Solutions
[uploaded 03.16.17]
Homework 2.3 Solutions
[uploaded 03.22.17]
Homework 2.4 Solutions
[uploaded 03.21.17]
Homework 2.5 Solutions
[uploaded 03.21.17]
Homework 2.7 Solutions
[uploaded 04.04.17]
Homework 2.8 Solutions
[uploaded 04.11.17]

Homework 3.3 Solutions
[uploaded 04.20.17]
Homework 3.5 Solutions
[uploaded 04.20.17]
Homework 4.1 Solutions
[uploaded 04.25.17]