# Linear Algebra Mathematics 350 — Fall 2022

### Prof. Weibel (640:350:03)

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 (5th ed.), by Friedberg, Insel and Spence,
Prentice Hall, 2019   ISBN 0-13-486024-1. Available on-line for \$9.99/month at Pearson

• Lectures TF3 (12:10-1:30PM in SEC 207)
• Weibel's Office hours: (Hill 218) Tuesday 1:40-3:00; Friday 10:00-11:30 AM

#### Tentative Course Syllabus

Week Lecture dates  Sections   topics
1 9/6 (T), 9/9 (F) Chapter 1 Abstract vector spaces & subspaces
29/13 (T), 16 (F)Chapter 1 Span of subsets, linear independence
39/20, 23 Chapter 1 Bases and dimension
49/27, 30 Chapter 2 Linear transformations
510/4, 10/7 Chapter 2 Change of basis, dual spaces
610/11, 10/14 Ch. 1—2  Review and Exam 1
710/18, 10/21 Chapter 3  Rank and Systems of Linear Equations
810/25, 10/28 Chapter 4  Determinants and their properties
911/1, 11/4 Chapter 5  Eigenvalues/eigenvectors
1011/8, 11/11 Chapter 5  Cayley-Hamilton
1111/15, 11/18 Inner Product spaces and Review Chapter 6
1211/23 (Wed) Exam 2 Ch. 3—6
1311/29, 12/2 Chapter 7  Jordan/Rational Canonical Form
1412/6, 12/9 Chapter 7  Jordan/Rational Canonical Form
1512/13 (T) Review Ch. 1—7
16 December 23 (Friday) 12-3 PM Final Exam

#### Homework Assignments

HW Due     HW Problems (due Fridays)
Sept. 161.2 #17; 1.3 #19,23; 1.4 #11,13; 1.5 #9,15
Sept. 231.6 # 8,10(b,c),15(n=3),22,28; 2.1 #11,15
Sept. 302.1 #24,29,36; 2.2 #4,10; 2.4 #2(a,b),4,7,23
Oct. 72.2 #5; 2.3 #4(a,b),10,13; 2.5 #4, 6(a,c),7(a), 10(a)
Oct. 213.1 #6,12; 3.2 #2(a,b,d), 5(a,c),14
Oct. 283.3 #2(b); 3.4 #7; 4.1 #3a; 4.2 #7,15,25
Nov. 44.3 #12;  5.1 #3(b,c),4(a,b,c),10 5.2 #3(a,b),9(a),13
Nov. 114.3 #16  5.2 #15(a,c)  5.3 #2(a,c)  5.4 #2(a,b),6(a,c),9(a,c)
Dec. 26.1 #16  6.2 #4,7,18  7.1 #2
Dec. 97.1 #3(a,b)  7.2 #2,3,6  7.3 #3(a,b,c),4,5,10

Main 350 course page

Charles Weibel / weibel@math.rutgers.edu / Fall 2022
Course grade: 2 Midterms (20% each); Final Exam (40%); HW (10%); Quizzes (10%).
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