## Math 308E Summer 2017 A term

Welcome to our M308 course page. Here you can find announcements, the course calendar, and the syllabus.

### Announcements

• (S 7-22) Your final scores are now available on Catalyst. I gave the overall median percentage of 75.5% a 3.1.

Thanks for a great A term! Have a good rest of your summer, and never forget that homogeneous systems are awesome.

• (S 7-15) I will hold extra office hours Tuesday 7-18 from 11:00-12:00.

• (Updated S 7-15) Wednesday is our final.
• Cheat sheet: this time you can use both sides of one 8.5x11 page of hand-written notes. You may not have any written proofs on the notes. Anything else (theorem statements, definitions, motivational slogans, etc) is fine.
• As before, you may only use a scientific calculator.
• The test will be comprehensive, but will emphasize the material since the midterm, namely, chapters 4 and beyond.
• There will not be anything from the "Additional topics" segment last Friday except that I expect you to know the statement of Theorem 5.20, p.209, describing how determinants give the area distortion factor.
• Expect several proofs. These will fall into two categories:
1. "Baby proofs": proving simple statments like: "If c is an eigenvalue of A, then c^2 is an eigenvalue of A^2," or "The only vector in S and S^perp is 0."
2. Non-baby proofs: I will ask you to prove at least one of the following theorems (final list):
• Theorem 6.3, p.221 (your argument would need to include the proof of Theorem 6.2)
• Theorem 8.11, p.309
• Theorem 8.l2, p.310
• Theorem 8.14, (c) and/or (d), p.315

• (M 7-10) WebAssign will not work from 3-9pm on Saturday. Your 8.2 HW is still due Saturday at 11:59pm. Please plan accordingly.

• (F 7-7)
• The midterm solutions are posted on the calendar below.
• Here is a page from a fellow instructor with a lot of practice final exams. The sample finals on our other page are also good practice. Since we have skipped a couple of sections the content on our final may be slightly less than everything these cover. But it will be very similar.
• The final will have at least one proof. Any proofs I ask will be from the following list: (which will be updated more next week)
• Theorem 6.3, p.221 (your argument would need to include the proof of Theorem 6.2)

• (M 7-3) I said that I would post solutions for the midterm today. Unfortunately this is going to have to wait until I clear up some details about some tests.

• (F 6-30) I will be in the office Monday morning (July 3) from 8:30-9:30 if you have last-minute questions for the test.

• (W 6-28) Thursday's office hours, starting tomorrow, will be from 3-4.

• (M 6-26)
• Wednesday's office hours will now be 2:30-3:30.
• Our midterm next Monday will cover all the sections we have done through 3.3 (so no chapter 4). You may use a scientific (=non-graphing) calculator and one side of an 8.5x11" page of notes that you have hand written. You may not have any proofs on your note sheet. Anything else is fine.

• (F 6-23) Some have asked about practice midterms. A Google search gave this page, and I like the flavor of questions on these midterms. The "Midterm 1" practice tests are the relevant ones. I don't guarantee that mine will be identical, but I think if you can answer these you have a good conceptual understanding that will serve you well. The material covered on our test may also not be identical to that in these, because this review page was not for an A-term class. But it is still good practice.

• (W 6-21) Our midterm is re-scheduled to be on Monday, July 3rd instead of Wednesday, July 5th, as initially stated.

• (T 6-20) You may need to reload this page from time to time to get the below calendar to update.

### Course calendar

M 6-19 1.1-1.2: Systems of linear equations and how to solve them
W 6-21 2.1-2.2: Vectors and their span 1.1-1.2 HW due R 6-22 Warm-up problems
F 6-23 2.3: Linear independence Warm-up problems
M 6-26 3.1-3.2: Linear transformations and matrix algebra 2.1-2.2 HW due T 6-27 Warm-up, review and Big Theorem slides
W 6-28 3.2, 3.3, 4.1: Matrices, inverses, subspaces 2.3 HW due; 3.1 HW due R Slides
F 6-30 4.1, 4.2: Subspaces, basis and dimension; review for MT1 3.2, 3.3 HW due Sat Slides
M 7-3 4.2: Finish basis and dimension; Midterm 1; solutions. The median was 40/50. Slides
W 7-5 4.3, 5.1: Row and column space; Determinants 4.1, 4.2 HW due Slides
F 7-7 6.1, 6.3: Eigenvalues and vectors; Change of basis 4.3, 5.1 HW due Sat 7-8 Slides
M 7-10 Finish 6.3; 8.1: Dot products, orthogonal sets 6.1, 6.3 HW due T 7-11 Slides
W 7-12 8.2: Projections, Gramm-Schmidt algorithm (course evals open) 8.1 HW due R, 7-13 Slides
F 7-14 8.5: Least-squares regression; Additional topics (more on determinants; Cramer's rule) 8.2 due S, 7-15
M 7-17 Review for final (course evals close T, 7-18) 8.5 HW due T 7-18 Slides
W 7-19 Final exam

### Syllabus

• When and where: MWF 9:40-11:50 in SMI 102
• Instructor: Tim Mesikepp
• Office: PDL C-34
• Office hours: M 1-2, W 2:30-3:30, R 3-4, F 1-2, or by appointment
• Email: mesiket (at) math.washington.edu

• Warning: This course will be extremely compressed. We cover all the material from the entire quarter in 4.5 weeks. This will be a frenetic, drinking-from-the-firehose pace. You will need a lot of effort and time outside of class to digest the material. If you cannot or are not willing to invest so much effort, then you should switch to a regular-length section.

• Course content and text: See the math department's 308 syllabus.

• Homework: Homework is online through WebAssign. The first problem set (1.1-1.2) is due Thursday, 6-22, and then homeworks are due every subsequent Tuesday and/or Thursday. You need to get access to WebAssign as soon as possible and login to see your assignments.

• Exams: There will be one midterm and a final exam. There are no make-up exams. In order to pass the course you must take both the midterm and the final. Schedule your travel and obligations around these dates, or otherwise do not take this class.
• Midterm: Monday, July 3
• Final: Wednesday, July 19 (the final day of A-term)

• Homework: 15%
• Midterm: 35%
• Final: 50%

• Some things you are responsible for:
• Knowing the policies in this syllabus.
• Knowing when homework is due. This will always be visible on WebAssign and above on our course calendar.
• Announcements I make in class and post above in "Announcements." So you should come to class and periodically check this site.

• Resources for help:
• You! Your drive, perseverance, and study. Your lecture notes, your creativity and your ideas. Most of your learning for this class will have to take place outside of class (!) as you reflect on and digest what we discuss in lecture.