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01:640:350:H - Linear Algebra Honors Section

Honors Linear Algebra 
Mathematics 350 — Fall 2017

Prof. Weibel (640:350:H1)

      This course is a proof-based continuation of Math 250, covering Abstract vector spaces and linear transformations, inner product spaces, diagonalization, and canonical forms. 


Prerequisites: 

      CALC4, Math 250 and Math 300

Text: Linear Algebra (4th ed.), by Friedberg, Insel and Spence,
Prentice Hall, 2003   ISBN 0-13-008451-4.

  • Lectures MW6 (5:00-6:20PM) in ARC 333
  • Weibel's Office hours: Monday 3:30-4:45 PM; Wednesday 10:30-12 AM 

Tentative Course Syllabus

WeekLecture dates Sections  topics
1 9/6 (W)  Chapter 1 Abstract vector spaces & subspaces
2 9/11 (M), 13 (W) Chapter 1 Span of subsets, linear independence
3 9/18, 20 Chapter 1 Bases and dimension
4 9/25, 27 Chapter 2 Linear transformations
5 10/2, 10/4 Chapter 2 Change of basis, dual spaces
6 10/9, 10/11 Ch. 1—2  Review and Exam 1
7 10/16, 10/18 Chapter 3  Rank and Systems of Linear Equations
8 10/23, 10/25 Chapter 4  Determinants and their properties
9 10/30, 11/1 Chapter 5  Eigenvalues/eigenvectors
10 11/6, 11/8 Chapter 5  Cayley-Hamilton
11 11/13, 11/15 Chapter 7  Jordan Canonical Form
12 11/20 Chapter 7  Rational Canonical Form
13 11/27, 11/29  Ch. 3—5, 7  Review and Exam 2
14 12/4, 12/6 Chapter 6  Inner Product spaces
15 12/11, 12/13 Chapter 6  Unitary and Orthogonal operators (last class)
17 December 21 (Thursday) 4-7 PM Final Exam

Homework Assignments

HW Due    HW Problems (due Wednesdays
Sept. 131.2 #17; 1.3 #19,23; 1.4 #11,13; 1.5 #9,15

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