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 | Syllabus:
Click here for details in a
PDF file |
| 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)
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| 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 10:30-11:30am
@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 make-up 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
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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
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| 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
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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
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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
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| 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
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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)
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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
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| 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
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Feb 14
Leon 6.2 Linear Differential Equations
HW: Leon 6.2:1(a)(b),2(a),3,4
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Feb 16
Leon 6.2: Linear Differential Equations
| Feb 19
Review
HWs for last week due Today
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Feb 21
Midterm 2
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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
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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
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| 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
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Mar 9
Review
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Final Exams Week
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Final Exams Week
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Final Exams Week
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