MATH 3191-3. Applied Linear Algebra
Spring 2003, University of Colorado Denver

IMPORTANT ANNOUNCEMETS:
Free tutoring is available from the book publisher as a part of MyMathLab access on Sun-Thur Mntn: 3 PM - 10 PM by phone, fax or email, see http://www.aw.com/tutorcenter/math.html. To register for it, give them a call at 1-888-777-0463 and tell them the class ID: KNYAZEV09453 and the textbook ISBN: 0-201-70970-8 and that you are registered with MyMathLab. Please give them a try and let me know how it goes.

Free tutoring is available from the UC Denver Center for Learning Assistance/Tutoring at NC 2006, (303) 556-2802. Abdulla Galadari aigalada@ouray.ucdenver.edu and Derek Hoshiko MisterD@pobox.com are specifically assigned for our 3191 class. Please give them a try and let me know how it goes.

IMPORTANT DATES:

PREREQUISITE: MATH 2411

OTHER SIMILAR CLASSES AT CU-DENVER THIS SEMESTER:
MATH 3191001 3 APPLIED LINEAR ALGEBRA MW 1000AM 1115AM NC 1402
MATH 3195001 4 LINEAR ALGEBRA AND DIFFERENTIAL EQUA TR 0300PM 0450PM NC 1535

HOURS:
MATH 3191002 3 APPLIED LINEAR ALGEBRA TR 0230PM 0345PM NC 1402
MATH 3191003 3 APPLIED LINEAR ALGEBRA TR 0700PM 0815PM SI 203

INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo Bldg) 644. Phone: (303) 556-8102.
Office hours: Tuesday 4-6 pm, or by appointment.
WWW: http://math.ucdenver.edu/~aknyazev

TEXTBOOK (required): Linear Algebra and Its Applications, 3/E by David Lay.
Published by Addison-Wesley Higher Education, 2003
ISBN: 0-201-70970-8 or ISBN: 0-321-13180-0

ADDITIONAL MATERIALS (optional): Student's Study Guide, 3/E, by Lay.
Publisher: Addison Wesley Higher Education ISBN: 0-201-77013-X.
It is also available for free on-line.

SUBJECT: Designed primarily for students interested in applied mathematics, computer science, science or engineering. Topics include solving systems of equations using Gaussian elimination with partial pivoting, LU--decomposition of matrices, matrix algebra, determinants, vector spaces, linear transformations, eigenvalues, and applications.

CONTENTS:
The class will follow the outline below, touching on each major topic in a depth that will be determined by the pace of the class. The dates are tentative and are not guaranteed.

Chapter 1: Linear Equations in Linear Algebra
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
1.3 Vector Equations
1.4 The Matrix Equation Ax=b
1.5 Solution Sets of Linear Systems
1.6 Applications of Linear Systems
1.7 Linear Independence
1.8 Introduction to Linear Transformations
1.9 The Matrix of a Linear Transformation. Feb. 25.

Chapter 2: Matrix Algebra
2.1 Matrix Operations. Feb. 27.
2.2 The Inverse of a Matrix. Feb. 27, March 4.
2.3 Characterizations of Invertible Matrices. March 4.
2.4 Partitioned Matrices. March 6.
2.5 Matrix Factorizations. March 11.

March 24 - 29, 2003, Spring Break.

Overview of Ch. 1-2. April 1.

Midterm test on Sec. 1.1-1.9 and 2.1-2.5. April 3.

Chapter 2: Matrix Algebra
2.8 Subspaces of Rn. April 8.
2.9 Dimensions and Rank. April 10.

Chapter 3: Determinants
3.1 Introduction to Determinainants.
3.2 Properties of Determinants. April 8.

Chapter 5: Eigenvalues and Eigenvectors
5.1 Eigenvectors and Eigenvalues. April 17.
5.2 The Characteristic Equation. April 17.
5.3 Diagonalization. April 22.
5.4 Eigenvectors and Linear Transformations. April 22.

Chapter 6: Orthogonality and Least-Squares
6.1 Inner Product, Length, and Orthogonality. April 24.
6.2 Orthogonal Sets. April 24.
6.3 Orthogonal Projections. April 29.
6.4 The Gram-Schmidt Process. April 29.
6.5 Least-Squares Problems. May 1.

GRADING:
Midterm Test (on Sec. 1.1-1.9 and 2.1-2.5. ) - 30%,
Final test (on Sec. 2.8-2.9, 3.1-3.2, 5.1-5.4, 6.1-6.5.) - 30%.
MATLAB based Computer Project - 20%,
Quizzes - 20%.
The following distribution of grades is used:
A 95-100%, A- 90-95%;
B+ 85-90%, B 80-85%, B- 75-80%;
C+ 70-75%, C 65-70%, C- 60-65%;
D+ 55-60%, D 50-55%, D- 45-50%.

COMPUTING:
One of the goals of the course is for students to learn the basics of MATLAB. This will be achieved through individual computer projects. The students are invited and expected to use the MERC lab. To reserve a computer, please register yourself for one of the Math 1999 lab no-fee no-credit courses: 

DEPT CRS  SEC   TITLE                               DAYS TIMES         PLACE
MATH 1999002 0 MATH RESOURCE LAB                    MW   0900AM 0950AM SI   130 
MATH 1999003 0 MATH RESOURCE LAB                    MW   1000AM 1050AM SI   130 
MATH 1999006 0 MATH RESOURCE LAB                    MW   0100PM 0150PM SI   130 
MATH 1999007 0 MATH RESOURCE LAB                    MW   0200PM 0250PM SI   130 
MATH 1999008 0 MATH RESOURCE LAB                    MW   0300PM 0350PM SI   130 
MATH 1999009 0 MATH RESOURCE LAB                    MW   0400PM 0450PM SI   130 
MATH 1999010 0 MATH RESOURCE LAB                    MW   0500PM 0550PM SI   130 
MATH 1999011 0 MATH RESOURCE LAB                    MW   0600PM 0650PM SI   130 
MATH 1999012 0 MATH RESOURCE LAB                    MW   0700PM 0750PM SI   130 
MATH 1999014 0 MATH RESOURCE LAB                    TR   0900AM 0950AM SI   130 
MATH 1999015 0 MATH RESOURCE LAB                    TR   1000AM 1050AM SI   130 
MATH 1999016 0 MATH RESOURCE LAB                    TR   1100AM 1150AM SI   130 
MATH 1999017 0 MATH RESOURCE LAB                    TR   1200PM 1250PM SI   130 
MATH 1999018 0 MATH RESOURCE LAB                    TR   0100PM 0150PM SI   130 
MATH 1999021 0 MATH RESOURCE LAB                    TR   0400PM 0450PM SI   130 
MATH 1999022 0 MATH RESOURCE LAB                    TR   0500PM 0550PM SI   130 
MATH 1999023 0 MATH RESOURCE LAB                    TR   0600PM 0650PM SI   130 
MATH 1999024 0 MATH RESOURCE LAB                    TR   0700PM 0750PM SI   130 
MATH 1999029 0 MATH RESOURCE LAB                    S    1045AM 1225PM SI   130 
MATH 1999030 0 MATH RESOURCE LAB                    S    1230PM 0210PM SI   130

CHEATING POLICY:

LINKS: