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

Prof. Weibel (640:350:H1) — Fall 2017

      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 1:30-2:45 PM; Wednesday 10:30AM-12 noon

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.3,4,5,7  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 on:HW Problems (due Wednesdays) 
Sept. 13 1.2 #17; 1.3 #19,23; 1.4 #11,13; 1.5 #9,15
Sept. 20 1.6 #20,26,29; 1.7 #5,6; 2.1 #3,11,28 Show that P(X) is a vector space
over F2, and find a basis
Sept. 27

 

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Current Semester

For more information on instructors and sections for Fall 2017, please see our Fall 2017 Teaching Schedule Page

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

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This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

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