Math 296, Winter 2012. Honors Mathematics II

 My office is 4859 East Hall, and my office hours are Tuesdays 2-5pm (and also by appointment).
The class meets on Mondays, Tuesdays, Wednesdays and Fridays, 1pm-2pm, in room 4088 of East Hall.

The course assistant is Nicholas Triantafillou.
His office hours are on Thursdays, 5-6pm, in the Nesbitt Common Room on the second floor of East Hall.
His review sessions are on Mondays, 7-8pm, in the Nesbitt Common Room.
 
Syllabus in PDF
Exams
First midterm problems in PDF
First midterm solutions in PDF

Second midterm problems in PDF
Second midterm solutions in PDF

Final exam questions in PDF
Final exam answers in PDF
Homeworks
Homework 1 (due Friday, January 13, at the beginning of class): Solve all problems from Chapter 1 of Axler's book.
Suggestions for Homework 1 in PDF
Solutions for Homework 1 in PDF

Homework 2 (due Friday, January 20, at the beginning of class) in PDF
Suggestions for Homework 2 in PDF
Solutions for Homework 2 in PDF

Homework 3 (due Friday, February 3, at the beginning of class) in PDF
Suggestions for Homework 3 in PDF
Solutions for Homework 3 in PDF

Homework 4 (due Friday, February 10, at the beginning of class) in PDF
Solutions for Homework 4 in PDF

Homework 5 (due Friday, February 17, at the beginning of class) in PDF
Solutions for Homework 5 in PDF

Homework 6 (due Monday, March 5, at the beginning of class) in PDF
Solutions for Homework 6 in PDF

Homework 7 (due Friday, March 16, at the beginning of class) in PDF
Suggestions for Homework 7 in PDF
Solutions for Homework 7 in PDF

Homework 8 (due Friday, March 23, at the beginning of class) in PDF
Solutions for Homework 8 in PDF

Homework 9 (due Friday, March 30, at the beginning of class) in PDF
Solutions for Homework 9 in PDF

Homework 10 (due Friday, April 6, at the beginning of class) in PDF
Solutions for Homework 10 in PDF

Homework 11 (due Tuesday, April 17, at the beginning of class) in PDF
Solutions for Homework 11 in PDF
Approximate course contents (arranged by week)
  1. Introduction to vector spaces and metric spaces (week of January 4 and 6)
    Suggested reading: Chapter 1 of Axler's book
     
  2. Subspaces of vector spaces; limits and continuity in metric spaces (week of January 9)
    Notes for the January 9,10,11 lectures in PDF
     
  3. Finite dimensional vector spaces; more metric space theory (week of January 16)
     
  4. Linear operators; connected metric spaces (week of January 23)
     
  5. More on linear maps between vector spaces (week of January 30)
     
  6. Eigenvalues of linear operators; compact metric spaces (week of February 6)
     
  7. More about eigenvalues; characterizations of compactness (week of February 13)
     
  8. Inner products on vector spaces; topological spaces (week of February 20)
     
  9. Spring break: week of February 27
     
  10. Inner products; introduction to multivariable calculus (week of March 5)
     
  11. Self-adjoint and normal operators; differentiation in R^n (week of March 12)
     
  12. Introduction to determinants; equality of mixed partial derivatives (week of March 19)
     
  13. Traces, determinants, minimal and characteristic polynomials; the Chain Rule (week of March 26)
     
  14. Jordan normal form; critical points of differentiable functions (week of April 2)
     
  15. Quadratic forms and the second derivative test (week of April 9)
     
  16. Inverse and implicit function theorems (April 16 and 17)