Math 2406: Abstract Vector Spaces
Lecture 10 Plan
(Thursday, September 20
Review Chapters 1, 3, Writing Proofs, and examples of Approximation Theorem (Apostol 3.16).
We will review the course so far in advance of Tuesday's test. We will lay out the fundamental concepts of vector and linear spaces we have learned. We will also consider the mechanics of theorems and proofs, which is the "language" of the course. We will then do some some additional practice on the Approximation Theorem, which uses much of what we have learned.Review:
1. Which definitions that we
have learned would someone need to know to be able to understand the
Approximation Theorem?
2. Which definitions that we have learned
would someone not need to know to be able to understand the
Approximation Theorem?
3. Make a diagram showing the "family tree" of theorems from Apostol,
Chap. 1 and 3, where Theorem A is the "child" of Theorem B if the proof
of Theorem A uses Theorem B.