Math 572

 

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Syllabus: Click here for details in a PDF file

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Course: Math 572, Linear Algebra with Applications II, MWF 9:30am

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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)

bulletHandout: MATLAB Overview (MO)
bulletTopics: Linear systems of equations; vector spaces, matrices, linear operators; inner products, projections and least squares, approximations of eigenvalue problems. Applications.
bulletOffice Hours: MWF 10:30-11:30am @EA295   and by appointment
bulletGrading: 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.
bullet Policy: NO make-up exams without doctor's excuse. Late Homework will be no credit.
bulletTentative 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 Gram-Schmidt 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 Gram-Schmidt 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 Gram-Schmidt 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