 
 Syllabus:
Click here for details in a
PDF file 
 Course: Math
572, Linear Algebra with Applications II, MWF 9:30am 

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)

 Handout: MATLAB Overview
(MO) 
 Topics: Linear systems of equations;
vector spaces, matrices, linear operators; inner products, projections and
least squares, approximations of eigenvalue problems. Applications. 
 Office Hours: MWF 10:3011:30am
@EA295 and by
appointment 
 Grading: first midterm
(20%), second midterm (20%), final exam( Tue. March 13 9:30am @EA295, 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).
Monday 
Wednesday 
Friday 
Jan 1 
Jan 3 (Autumn Classes Begin)
Review of Math 571, in particular Leon 5.3, 5.4

Jan 5
Review of Math 571, in particular Leon 5.3, 5.4
HW: Leon 5.3: 1(a),3(a),5,6; Leon 5.4:
1,3,4,7,15,16

Jan 8
Leon 5.5: Orthonormal Sets
H&Z 10.1
HW: Leon 5.5: 2,4,6,8,9,15,21,22,27, H&Z10.1: 2 
Jan 10
Leon 5.5: Orthonormal Sets
H&Z 10.1 
Jan 12
Leon 5.5: Orthonormal Sets
Leon 5.6 GramSchmidt Orthoganalization Process H&Z: 10.2, 10.3
HW: Leon 5.5: 25,33 
Jan 15
Martin Luther King Jr. Day
No classes

Jan 17
Leon 5.6 GramSchmidt Orthoganalization Process
H&Z: 10.2, 10.3
HW: Leon 5.6: 3,4,6,10,11,12

Jan 19
H&Z: 10.2, 10.3
HW: write a matlab m file to do Modified GramSchmidt Process 
Jan 22
H&Z: 10.2, 10.3
Fourier Series (Handout)
HW: H&Z 10.2: 4,5, H&Z 10.3: 2,7 
Jan 24
Fourier Series (Handout)
HW: two fourier series expansion questions with plotting assgined in class 
Jan 26
Review

Jan 29
Midterm  Jan 31
Leon: 4.1 Linear Transformations, Definition and Examples, H&Z, 12.1,12.3,12.4
HW: Leon 4.1:1,4,5,6,7,8,9,10,11,17,19

Feb 2
Leon: 4.1 Linear Transformations
HW: H&Z 12.1: 4 H&Z 12.3: 3, H&Z 12.4:3 
Feb 5
Leon: 4.2 Matrix Representation
HW: Leon 4.2:2,3,45,6,13,14(a),15,16,18(c)

Feb 7
Leon: 4.3 Linear Transformations
HW: Leon 4.3:1,2,34,5,6,7
 Feb 9
L6.1: Eigenvalues and Eigenvectors H&Z 13.2

Feb 12
L6.1: Eigenvalues and Eigenvectors H&Z 13.2
HW: Leon 6.1:1(a)(e)(g)(l),4,11,18,28
HW: H&Z 13.2:1,2,8

Feb 14
Leon 6.2 Linear Differential Equations
HW: Leon 6.2:1(a)(b),2(a),3,4

Feb 16
Leon 6.2: Linear Differential Equations

Feb 19
Review
HWs for last week due Today

Feb 21
Midterm 2

Feb 23
Leon 6.3: Diagonalization
HW: Leon 6.2: 2(b),6,10, Leon 6.3: 1(d),2(d),4,6,10,18,26(c),28(c) 
Feb 26
Leon 6.3: Diagonalization, H&Z 13.3
H&Z 13.3: 1,3

Feb 28
Leon 6.4: Hermitian Matrices
HW 6.4: 1(a),2,3,4,5(a)(b),9,10
 .Mar 2
Leon 6.4: Hermitian
HW 6.4: 11,12,15,19,22,24

Mar 5
Leon 6.5 SVD
HW: 6.5: 2(b)(d),4,6,10
 Mar 7
Leon 6.6, Quadratic Forms
HW: 1(a),3

Mar 9
Review

Final Exams Week

Final Exams Week

Final Exams Week

