SYLLABUS

MATH 250
Section 9 (45532)
TF3 (12:00-1:20)
Room 9 Hill Center

Spring 2013

Introduction to Linear Algebra

Professor Stephen Miller



 Date

 Lecture
Sections Covered



 Date


 Lecture


Sections Covered

1/22
1.1, 1.2, Matrices and Vectors 
3/12
15  4.2, Basis and Dimension                                           
1/25
1.3, Systems of Linear Equations
3/15
16  4.3, Column Space and Null Space of a Matrix
1/29 1.4, Gaussian Elimination
3/29
17  5.1, Eigenvalues and Eigenvectors                              
2/1
1.6, Span of a Set of Vectors
3/29
18  5.2, Characteristic Polynomials
2/5
1.7, Linear Dependence/Independence 

4/2
19  5.3, Diagonalization of Matrices                                 
2/8
2.1, Matrix Multiplication
4/5
20  5.5, Applications of Eigenvalues
2/12
2.2,  Applications Thereof                   
4/9
21  6.1, Geometry of Vectors
2/15
2.3, Invertibility and Elementary Matrices

4/12
22  6.2, Orthogonal Vectors; Gram-Schmidt process
2/19
2.4, Inverse of a Matrix                       
4/16
23  MIDTERM EXAM 2
2/22
10  2.6, LU Decomposition of a Matrix

4/19
24  6.3, Orthogonal Projection and Least-Squares Approximations 
2/26
11  MIDTERM EXAM 1
4/23
25  6.4, Orthogonal Matrices
3/1
12  3.1, Determinants; Cofactor Expansions

4/26
26  6.5, Symmetric Matrices and Quadratic Forms 
3/5
13  3.2, Properties of Determinants           
4/30
27  Singular Value Decomposition and Applications to Search Engines 
and Computer Vision. 
3/8
14  4.1, Subspaces

5/3
28  Catch up and review

Text Book: Spence, Insel, & Friedberg: Elementary Linear Algebra: A Matrix Approach, 2nd edition, ISBN 978-0-13-187141-0, Prentice Hall

Grading Policy:  Two in class midterm exams (Tuesday February 26th and Tuesday April 16th) -- each 20%. 
                            Final exam (TBA) -- worth 40%.
                            Homework, and Class Participation -- worth 20%.

Links:

Main Course Page  (Includes Maple Labs, and links to old exams and practice questions)

Homework (TF means "True-False").   Boldfaced problems below are due as indicated.  All assignments are due at the beginning of class.

Final According to the exam schedule, the final exam is Thursday May 9th, 2013 from 12-3pm.

 Section
 Homework Problems
1.1  1, 3, 5, 9, 17, 19, 23, 25, TF: 37-56, 71, 75, 79, 81, 82 
1.2 1, 3, 9, 15, 17, 19, 29, 31, 35, 37, 39, TF: 45-63, 67, 68, 75, 76, 77, 78 
1.3 1, 3, 7, 9, 11, 23, 25, 39, 41, 43, 45, 47, 49, 51, 53, 55, TF: 57-62, 63, 64-76, 81
1.4 1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 35, 37, 43, TF: 53-72, 74, 75-78, 81-84, 87, 88, 89-91
1.6  1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 43, TF: 45-64, 70, 72
1.7  1, 5, 13, 15, 23, 25, 29, 33, 39, 41, 51, 53, 57, TF: 63-82, 87, 89

Due 2/12
2.1  5, 7, 9, 11, 13, 15, 17, 19, 22, 23, 25, 27, 29, 31, TF: 33-50                 
2.3 1, 3, 9, 11, 13, 17, 19, 23, 25, 29, 31, TF: 33-52                                                                                                       Due 2/19
2.4  1, 3, 7, 9, 19, 27, 29, TF: 35-54, 64
2.5  1, 3, 9                                                                                                                                                                         Due 2/26
2.6 1, 3, 5, 9, 11, 13, TF: 33-41, 42, 43, 44, 45, 46                       


3.1 1, 3, 9, 11, 13, 14, 15, 21, 23, 27, 29, 31, 37, 43, TF: 55-63                                                                                     Due 3/5
3.2 5, 6, 7, 8, 11, 13, 17, 21, 27, 33, TF: 39, 40-58, 59, 63, 67, 69-75

    Due 3/12
4.1
1, 3, 5, 9, 11, 13, 19, 21, 27, 29, 33, TF: 43-51, 53, 54, 57-62, 67, 69, 72, 73, 74, 78, 81, 83, 85, 89, 93
4.2
1, 3, 5, 7, 17, 19, 21, 25, 27, TF: 33, 34-50, 53, 54, 59, 63, 65
4.3
1, 3, 5, 7, 9, 11, 15, 17, 19, 25, 27, TF: 41, 42-56, 57, 59, 60, 63, 65, 69, 73, 74-78, 83                                       Due 3/29


5.1
1, 3, 7, 9, 13, 17, 23, TF: 41-46, 55-60, 63, 64, 66, 67, 68, 69, 72, 73, 74
5.2
1, 5, 9, 11, 13, 15, 17, 19, 21, 41, TF: 53-72, 77, 79, 81, 85, 86                                                                             Due 4/2
5.3
1, 3, 5, 7, 11, 15, 17, 19, TF: 29-48, 49, 51, 55, 57, 61, 63, 65, 73, 77, 78, 81, 82, 83, 85
5.5
3, 5, 7, 9, 13, 15                                                                                                                                                     Due 4/9


6.1

3, 5, 7, 9, 11, 13, 15, 17, 25, 29, 33, 37, 43, 49, 51, 53, TF: 61-80, 95, 97, 98                                                     Due 4/16

6.2
1, 3, 7, 9, 13, 17, 21, 25, 29, 33, 37, TF: 41-52, 55
6.3
1, 5, 9, 11, 17, 19, 21, TF: 33-56, 59, 61, 67, 69, 71, 73, 75                                                                              Due 4/23
6.4
1, 5, 17, 21, TF: 28-32
6.5
3, 7, 9, 11, TF: 17, 21, 22-29                                                                                                                                  Due 4/30
6.6 3, 5, 13, 15, 17, 19, TF: 21-40




miller@math.rutgers.edu