TENTATIVE SYLLABUS

MATH 250

Introduction to Linear Algebra


Section 3  Stephen Miller

MTh 8:10-9:30  room ARC 105


 Date

 Lecture
Sections Covered

 Date
 Lecture
Sections Covered
1/23
 1  1.1, 1.2, Matrices and Vectors 
3/13
 15  4.2, Basis and Dimension                                           QUIZ
1/27
 2  1.3, Systems of Linear Equations
3/24
 16  4.3, Column Space and Null Space of a Matrix        
1/30 3  1.4, Gaussian Elimination
3/27
 17  5.1, Eigenvalues and Eigenvectors                              QUIZ
2/3
 4  1.6, Span of a Set of Vectors
3/31
 18  5.2, Characteristic Polynomials
2/6
 5  1.7, Linear Dependence/Independence QUIZ
4/3
 19  5.3, Diagonalization of Matrices                                 QUIZ
2/10
 6  2.1, Matrix Multiplication
4/7
 20  5.5, Applications of Eigenvalues
2/13
 7  2.2,  Applications Thereof                   QUIZ
4/10
 21  MIDTERM EXAM 2
2/17
 8  2.3, Invertibility and Elementary Matrices
4/14
 22  6.1, Geometry of Vectors
2/20
 9  2.4, Inverse of a Matrix                       QUIZ
4/17
 23  6.2, Orthogonal Vectors; Gram-Schmidt process
2/24
 10  2.5, LU Decomposition of a Matrix
4/21
 24  6.3, Orthogonal Projection and Least-Squares Approximations   QUIZ
2/27
 11  MIDTERM EXAM 1
4/24
 25  6.4, Orthogonal Matrices
3/3
 12  3.1, Determinants; Cofactor Expansions
4/28
 26  6.5, Symmetric Matrices and Quadratic Forms              QUIZ         
3/6
 13  3.2, Properties of Determinants           QUIZ
5/1
 27  Singular Value Decomposition
3/10
 14  4.1, Subspaces
5/5
 28  Catch up and review

Text Book: Spence, Insel, & Friedberg: Elementary Linear Algebra: A Matrix Approach, Prentice-Hall (ISBN # 0-13-716722-9).

Grading Policy:  Two in class midterm exams (Thursday February 27th, Thursday April 10th) -- each 20%. 
                            Final exam (Wednesday May 14th, 8-11 pm, ARC 105) -- worth 40%.
                            Quizzes, Homework, and Class Participation -- worth 20%.
                            Quizzes will be from the homework problems (below) for the sections covered in previous lectures.  

Links:

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

Homework

 Section
  Homework Problems
1.1  1, 3, 5, 7, 9, 35, 39, 45, 46 (ML #48)
1.2  1, 3, 11, 13, 15, 17, 21, 22, 23, 25, 29, 31, 33, 35, 36, 37, 39, 40, 41, 42
1.3 1, 3, 5, 7, 9, 11, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 45
1.4 1, 3, 5, 7, 9, 13, 15, 19, 21, 25, 27, 29, 31, 35, 44-46, 51-62
1.6  1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 31, 35, 42, 45
1.7  1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 27, 29, 33, 39, 40, 41


2.1  1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 22, 23, 24, 25, 27, 29, 31
2.2  3, 9, 11, 13
2.3  1, 3, 5, 7, 11, 13, 15, 21, 29, 31, 33, 41
2.4  1, 3, 5, 7, 11, 15, 17, 19, 25, 27, 30
2.5 3, 5, 7, 9, 10, 11, 12, 13, 14, 15, 19


3.1 1, 3, 5, 7, 9, 11, 14, 15, 17, 19, 21, 25, 31, 33, 37, 39, 41, 43
3.2 1, 3, 5, 7, 11, 15, 21, 25, 29, 33, 39-45


4.1
 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 25, 27, 29, 31, 33, 36, 37, 38, 42
4.2
 1, 3, 4, 5, 7, 9, 11, 13, 15, 27, 29
4.3
 1, 3, 5, 7, 9, 11, 13, 15, 37-42, 47


5.1
 3, 7, 13, 17, 21, 39, 42, 43, 44, 45, 48
5.2
 1, 3, 5, 9, 13, 15, 17, 21, 23, 25, 27, 41, 45, 47, 51, 52
5.3
 1, 3, 7, 9, 11, 13, 15, 17, 19, 23, 25, 27, 29, 33, 35, 37, 39, 45, 51, 52, 53
5.5
 3, 5, 7, 9, 13, 15


6.1
1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 30-35, 49, 52
6.2
1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 27
6.3
1, 3, 5, 7, 9, 13, 15, 17, 21, 31
6.4
3, 5, 7, 9, 11, 22
6.5
1, 3, 5, 13, 19
6.6 3, 5, 7, 9, 11, 15, 17, 19, 21




miller@math.rutgers.edu