The bible stays the same: (Axler 1997)

We will be less exploratory, Axler will pretty much tell us. However, we should try to say stuff in the class every single class period.

There is a ban on numbers over 4 on this class.

Best Practices

• Ask questions
• Talk to each other
• Make mistakes
• From Riley: know the Proof Design Patterns

Non-Axler but Important

Things we explicitly are told to know, but is not immediately in Axler. You bet you determinants are going to be here.

• group
• matricies
• dot product and cross product
• solving systems
• binary operation
• modular arithmetic
• quotient group
• strong induction
• algebreic mitultiplicity
• geometric multplicity
• matrix adjectives
• singular value decomposition

1

• Axler 1.A
• Axler 1.B
• Axler 1.C

2

• Axler 2.A
• Axler 2.B
• Axler 2.C

3

• Axler 3.A
• Axler 3.B
• Axler 3.C
• Axler 3.D
• Axler 3.E
• Axler 3.F

4

Thoughts on Axler 4

5

• Axler 5.A
• Axler 5.B
• Axler 5.C

6

• Axler 6.A
• Axler 6.B

7

• Axler 7.A

Misc Knowledge

• algebra
• vector
• integer
• additive identity
• taxicab norm