Schedule for Math 308A

• Week 1
  sections 1.1, 1.2, 1.3
  Also, please read section 1.4 (This has some nice applications of the theory from 1.1-3)
• Week 2
  sections 1.5, 1.6, 1.7
  Also, if you think your memory of vectors in 2-space and 3-space, inner products, planes, lines etc. could do with some refreshing, now is a good time to start reading chapter 2!
• Week 3
  sections 1.8, 1.9
  I won't be able to cover all of section 1.8 in the lectures, but please read all of it (you will notice that the same arguments are repeated in a few different contexts). I should eventualy cover all of section 1.9, but not all of it this week. However, this is important stuff, so it can't hurt to read it all now and again next week :). Also, of course, reading chapter 2 still can't hurt.
• Week 4
  sections 3.1, 3.2, 3.3
  A lot of 3.1 and 3.2 is probably familiar from earlier courses and earier lectures/sections in this course. Section 3.3 introduces some very important examples of subspaces (I probably won't get all the way through it this week). Also of course, if you need to review chapter 2, do it now.
• Week 5
  sections 3.3, 3.4, 3.5
  If you haven't read 3.3 yet, do it now. Otherwise, reread. 3.4 and 3.5 are the conceptual heart of this chapter, introducing bases and dimension. Try to understand how the abstract definitions connect to the 2-dimensional and 3-dimensional intuition (section 3.1, 3.2). I probably won't get all the way through section 3.5 this week
• Week 6
  sections 3.5, 3.6, 3.7
  I won't necessarily do all of section 3.7, but at the very least I would like you to understand the definition of a linear map and how a matrix corresponds to a linear map.