Fall 2012 Course Syllabus:  Math 631

Course Title:	Linear Algebra
Textbook:	Linear Algebra and Its Applications, 4th Ed. by Gilbert Strang; ISBN 0- 03-010567-6
Prerequisites:	Math 222 and Math 337, or departmental approval
Website:	http://web.njit.edu/~rmoore (link on left menubar)

Course Outline
Lecture	Sections	Topic	Assignment (click for solutions)
1	1.1-1.6	Linear equations and Matrices
2	1.1-1.6	Linear equations and Matrices
3	2.1, Appendix A	Vector Spaces and Subspaces
4	2.2	Solving Ax=b
5	2.3	Linear Independence, Basis, Dimension
6	2.4	The Four Fundamental Subspaces
7	2.6	Linear Transformations
8	3.1	Orthogonal Vectors and Subspaces
9	3.2	Cosines and Projections onto Lines
10	3.3	Projections and Least Squares
11	3.4	Orthogonal Bases and Gram-Schmidt
12	3.5	The Fast Fourier Transform
13		Midterm Exam
15	4.1-4.2	Properties of the Determinant
16	4.3	Formulas for the Determinant
17	4.4	Applications of Determinants
18	5.1	Eigenvalues and Eigenvectors
19	5.2	Diagonalization of a Matrix, Cayley-Hamilton Theorem
20	5.3	Difference Equations
21	5.4	Differential Equations
22	5.5	Complex Matrices
23	5.6, Appendix B	Similarity Transformations, Jordan Form
24	6.1	Minima, Maxima and Saddle Points
25	6.2	Tests for Positive Definiteness
26	6.3	Singular Value Decomposition
27	6.4	Minimum Principles
28	7.1-7.2	Matrix Norm and Condition Number

IMPORTANT DATES
FIRST DAY OF SEMESTER	September 4, 2012
MIDTERM EXAM	October 19, 2012
LAST DAY TO WITHDRAW	November 6, 2012
LAST DAY OF CLASSES	December 12, 2012
FINAL EXAM PERIOD	December 14-20, 2012

Grading Policy

Assignment Weighting
Homework	20 %
Midterm Exam	35 %
Final Exam	45 %

Important Departmental and University Policies

· Academic Integrity Code is Strictly Enforced

· Prerequisites Requirements are Enforced

· Exam Policies (No Make Up Exams and More)

· Cell Phone and Pager Use Prohibited in Class

Prepared by Prof. Richard Moore, May 2, 2012