 
 Syllabus:
Click here for details in a
PDF file 
 Course: Math
571, Linear Algebra with Applications I, MWF 2:30pm 

Texts:
(1) Linear Algebra with Applications 7th Ed. Steven Leon
(2) Linear Algebra
Labs with MATLAB 3rd Ed. David Hill and David Zitarelli (H&Z)

 Handouts: MATLAB Overview
(MO) and Linear
Space Outline (LSO) 
 Topics: Linear systems of equations;
vector spaces, matrices, linear operators; inner products, projections and
least squares, approximations of eigenvalue problems. Applications. 
 Office Hours: MWF 1:302:30pm
@MW and by
appointment 
 Grading: first midterm
(Fri. Oct 13, 20%), second midterm (Wed. Nov. 8, 20%), final exam( Thu. Dec
7 11:30am, 30%), class participation (5%), and homework (25%). The letter
grade will be with an approximately 90(A)80(B)70(C)60(D) scale. 
 Policy:
NO makeup exams without doctor's excuse. Late Homework will be no credit. 
 Tentative Schedule: updated regularly 
The HW problems in red need to
be turned in. HW due every Wednesday in class. It includes all HW given in the
previous week (Mon, Wed, Fri).
H & Z: Application 3 Review
Monday 
Wednesday 
Friday 
Sept 18 
Sept 20 (Autumn Classes Begin)
Leon 1.1: Systems of Linear Equations
HW1.1: 3(a,b,c,d),6(a,d),9

Sept 22
Leon 1.2: Row Echelon Form HW1.2: 1,5(a,b,c,d,e,f,k),6(c,d),8,10,13,17 
Sept 25
Leon 1.3: Matrix Algebra

Sept 27
HW1.3: 6(c),7(b),10,12,14,15,20
MO: 1, 2
H & Z: 1.1,1.2 HW: H&Z, 1.1: 4
, 1.2: 3 
Sept 29
H & Z: 3.1, 3.2, 3.3 HW: H&Z, 3.1: 2,
4 , 3.2: 1,2,3,
3.3: 1

Oct 2
Leon 1.4: Elementary MatricesHW1.4: 3,5,6,9,10(a,e),15,22,23
MO 5.1

Oct 4
Leon 1.4: Elementary Matrices
Examples with Matrices

Oct 6
Leon: 2.1,2.2 Determinants and their Properties HW2.1:
3(g,h),4(a,c),6,11 HW2.2:
3(d,e),4,6 
Oct 9 Leon: 2.2 Determinants and their Properties

Oct 11
Leon: 3.1 Vector Spaces
HW3.1: 5,6,7,8,10,11

Oct 13
Midterm 1 (1.11.4,2.12.2) 
Oct 16
Leon: 3.2 Subspaces
Midterm discussion
LSO
HW3.2: 2,3,4,5,10, 14,
20
 Oct 18
Leon: 3.2 Subspace
LSO
H & Z: 6.1,6.2,6.3
HW6.1: 2, 3,4
HW6.2:2,3,5,6

Oct 20
Leon: 3.2 Subspace, 3.3 Linear Independence
LSO
H & Z: 6.2
LSO 
Oct 23
Leon 3.3: Linear Independance
H & Z: 6.3
HW6.3:1(a),(c)(e),(f)
Leon3.3: 2 4 6 7
2(c),4(c),6(c),7(c)
 Oct 25
3.4: Basis and Dimension
HW: Leon3.4: 3,4,5,8,10
 Oct 27
Leon: 3.5 Change of Basis

Oct 30
Leon: 3.5 and 3.6 row space and column space, H&Z 6.4
HW: Leon3.5: 5,6,7,10

Nov 1
Leon: 3.5 and 3.6 row space and column space, H&Z 6.4
Leon3.6: 1 2 3 4
1(b),2(b),3(b),4(b)
H&Z 6.4:2

Nov 3
Leon: 3.5 and 3.6 row space and column space, H&Z 6.4

Nov 6
Accuracy of Matlab Calculations
and the Condition Number
MATLAB Overview 5.2, 7
Linear Space Outline
Leon 7.4 
Nov 8
Midterm 2 (Leon 3.13.6, H&Z 6.16.4)

Nov 10
No Classes
(Veterans Day) 
Nov 13
MATLAB Overview 5.2, 7
Linear Space Outline
Leon 7.4
HW: Leon 7.4:1(b),(d),2,7,11,22,23,30,31

Nov 15
Leon 7.4
 Nov 17
Leon: 7.4

Nov 20
Leon: 5.1 Scalar Product or Dot Product
HW: Leon 5.1:1(a),2(a),4,8(b),10,12
Linear Space Outline 
Nov 22
Leon: 5.2 Orthogonal Subspaces
Leon: 5.3
HW: Leon 5.2:1(c),2,4,9

Nov 24
Columbus Day (No Classes)

Nov 27
Leon: 5,2, 5.3, least square problem
HW: Leon 5.3:1(c),3(b),5,6
 Nov 29
Leon 5.4 Inner Product Spaces
HW: Leon 5.4:1,2,7,8,15
 Dec 1
Leon 5.4 Inner Product Spaces
Linear Space Outline
H & Z: 9 
Final Exams Week

Final Exams Week

Final Exams Week

