Math 413/513, Fall 2015

Instructor: David Glickenstein, glickenstein@math.arizona.edu
Teaching Assistant: Ruby Abrams, rabrams12@email.arizona.edu
Instructor's Office: Mathematics 204 (not ENR2 S347)
Instructor's Office Phone: 621-2463
Office Hours: Tuesday 2-3 (in Math 204), Thursday 1-2 in Math 220 (tutoring room), Friday 10-11 (in Math 204)
TA Office Hours: Tuesday 1-2 (in Math East 145), Thursday 12-1 (in Math East 145)
TA-run practice session: Thursdays 6-7 in Math 402

Handouts/Announcements

Course policy (revised 9/30)
Tutoring room hours: http://math.arizona.edu/academics/tutoring/math323
Important: Exam 1 changed to Wednesday, October 14.
Solutions to 6.1 exercises 8ab,9 and 6.2 exercises 2bc, 7, 9
Exam 1 (latex)
Exam 2 (latex)
Finals week office hours: Friday 1-2, Monday 10-11, Tuesday 1-3, Wednesday 9:30-11:30
Final exam is here (latex)
Final exam is due at 12:30pm on Thursday, Dec. 17. I will be in my office during the exam period (10:30-12:30).

Supplementary material

Numberphile - Edward Frenkel on Basis and Coordinates (notice that he is using the same book as we are!)

Notes and Homework

Chapter 1 (latex) (last updated September 2, 2015)
Proof of the Replacement Theorem
Chapter 2 (latex)(last updated September 28, 2015)
Chapter Check for Chapter 1 (latex)
Chapter Check for Chapter 2 (latex) note: revised 10/2
Chapter 3 (latex)(last updated October 16, 2015)
Chapter 4 (latex) (last updated October 26, 2015)
Chapter 5 (latex) (last updated November 4, 2015)
Chapter Check for Chapter 3,4 (latex)
Homework problem from Chap 5 (latex)
Chapter 6 (latex) (last updated December 7, 2015)

Due dates

Skim Appendix C. Read carefully if needed.
Read Chapter 1.
To turn in Friday, August 28

Section 1.2 problems 9, 10 , 20
Section 1.3, problem 13

To turn in Monday, August 31

Section 1.3, problems 23, 28
Section 1.4, problems 7, 11, 16

To turn in Friday, September 4

Section 1.5, exercises 6, 9, Proof of Thm 1.6
Section 1.6, exercises 4, 12, 13

To turn in Friday, September 11

Section 1.6, exercises 17, 34, 35 (35 is for Comprehensive/Graduate option only)
Section 2.1, exercises 9a, 10

To turn in Friday, September 18

Section 2.1, exercises 14a, 21, 26, 28, (40 for Comprehensive/Graduate option only)
Section 2.2, exercises 8 (Note: I deferred problem 12 to next week)

To turn in Friday, September 25

Chapter Check for Chapter 1
Section 2.2, exercises 12, 15
Section 2.3, exercises 3, 8 (only state the more general theorem (all parts), and then prove only part (a)).

To turn in Friday, October 2

Section 2.3, exercises 6, 16a (hint: show that N(T) is contained in N(T^2))
Section 2.4, Show that the linear transformation in Example 5 is an isomorphism without using the Lagrange interpolation formula.

To turn in Wednesday, October 7

Revisions of Chapter Check for Chapter 1.

To turn in Friday, October 8

Section 2.4 exercises 9, 17
Section 2.5 exercises 3e, 13
Comprehensive/Graduate option: Section 2.4 exercise 24a, Section 2.6 exercise 5.
Chapter Check for Chapter 2.

To Turn in Wednesday, October 21

Revisions of Chapter Check for Chapter 2

To turn in Friday, October 23

Section 3.1 exercise 8
Section 3.2 exercises 6b, 21
Section 3.3 exercises 8a, 10

To turn in Friday, October 30

Section 3.4 exercises 9, 15
Section 4.1 exercise 10
Section 4.2 exercises 3, 25
Section 4.3 exercises 10, 21

To turn in Friday, November 6

Section 4.3 exercises 15, 28
Comprehensive/Graduate option: Section 4.5 exercises 16, 19
Section 5.1 exercises 3b, 7ab, 16

To turn in Friday, November 11

Last updated December 10, 2015