Math 571

  

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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 1:30-2:30pm @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 make-up exams without doctor's excuse. Late Homework will be no credit.
Tentative Schedule: updated regularly

Monday Wednesday Friday
Sept 18 Sept 20 (Autumn Classes Begin)

Leon 1.1: Systems of Linear Equations

HW1.1: 3,6,7,8,9

Leon 1.2:  Row Echelon Form

HW1.2: 1,5,6,8,10,14,17,20

 Sept 22

Leon 1.3: Matrix Algebra

HW1.3: 6,10,12,14,15,19
Sept 25

Leon: 1.3

MO: 1, 2

H & Z: 1.1,1.2

 Sept 27

MO: 2

H & Z: 3.1, 3.2, 3.3

 Sept 29

Leon 1.4: Elementary Matrices


HW1.4: 3,5,6,9,10,15,22,23
Oct 2

Leon 1.4: Elementary Matrices

MO 5.1

 Oct 4

Examples with Matrices
Good Will Hunting, Random Walks and Markov Chains

 Oct 6

Leon: 2.1,2.2 Determinants and their Properties
Oct 9

Leon: 3.1 Vector Spaces		 Oct 11

Leon: 3.2 Subspaces


 Oct 13

Midterm 1 (1.1-1.4,2.1-2.2)
Oct 16

Leon: 3.1,3.2,3.3 linear independence

LSO

H & Z: 6.1,6.2,6.3

 Oct 18

Leon: 3.3 linear independence

LSO

H & Z: 6.1,6.2,6.3 

 

 Oct 20

Leon 3.4: Basis and Dimension

LSO
Oct 23

Leon 3.5: Change of Basis

 Oct 25

Leon: 3.5  Change of Basis

 Oct 27

Leon: 3.6 Row Space and Column Space

H & Z: 6.4
Oct 30

Leon: 3.6 cont.

 Nov 1

Accuracy of Matlab Calculations
 and the Condition Number

MATLAB Overview 5.2, 7 
Linear Space Outline 

Leon 7.4 

 Nov 3

Accuracy of Matlab Calculations
 and the Condition Number

MATLAB Overview 5.2, 7 
Linear Space Outline 

Leon 7.4 
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 
 

 Nov 10

No Classes

(Veterans Day)
Nov 13

Leon: 5.1  Scalar Product or Dot Product

Linear Space Outline 

 Nov 15

Leon: 5.2  Orthogonal Subspace

 Nov 17

Leon: 5.2  Orthogonal Subspaces

Leon 5.3 Least Squares Problems

Linear Space Outline
Nov 20

Leon: 5.3  Least Squares Problems

H & Z:  Application 3

 Nov 22

Leon: 5.3

Linear Space Outline

 

 Nov 24

Columbus Day (No Classes) 

 
Nov 27

Leon 5.4  Inner Product Spaces 

 Nov 29

Leon 5.4  Inner Product Spaces

Linear Space Outline

H & Z: 9

 Dec 1

Review
Final Exams Week
 Final Exams Week
 Final Exams Week

 

 

 

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