Homework due every Wednesday. Meets in AEB 360 at 2pm except Thursdays.

Week 1, Jan 9 to 13	Background reading: Linear Equations no matrices
reading	To understand the textbook, please read now or later in the course, the article of Gilbert Strang: The Fundamental Theorem of Linear Algebra
Jan 9-13	Week 1: 1.0 Introduction to Vectors, 1.1 Vectors and Linear Combinations, 1.2 Lengths and Dot Products.
Jan 16	Martin Luther King Day, no class
Jan 17-20	Week 2: 2.1 Linear Equations , 2.2-2.3 Elimination
Jan 23-27	Week 3: 2.4 Matrices, 2.5 Inverse, 2.6 Elimination A = LU,
Jan 30	Lab 1: Intro to Maple, Meet in computer lab LCB 115
Jan 31, Feb 1,3	Week 4: 2.7 Transpose, Permutation, 3.1 Spaces of Vectors , 3.2 The Nullspace of A: Solving Ax = 0,
Feb 6-10	Week 5: 3.3 The Rank and the Row Reduced Form, 3.4 The Complete Solution to Ax = b , 8.2 Graphs and Networks for Lab 2
Feb 13	Lab 2: Graphs and Networks, (Section 8.2), Meet in computer lab LCB 115
Feb 14-16	Week 6: 3.5 Independence, Basis and Dimension, 3.6 Dimensions of the Four Subspaces, Exam 1 review
Feb 17	Exam 1 (Solutions) on Chapters 1-3 Sample Exam (Solutions)
Feb 20	President's Day, no classes
Feb 21-24	Week 7: 4.1 Orthogonality of the Four Subspaces, 4.2 Projections, 4.3 Least Squares Approximations
Feb 27	Lab 3: Least Squares Approximations, (Section 4.3), Meet in computer lab LCB 115. Data sets for this lab: DataSet1.txt, DataSet2.txt, DataSet3.txt
Feb 28-29, Mar 2	Week 8: 4.4 Orthogonal Bases and Gram-Schmidt , 5.1 The Properties of Determinants, 5.2 Permutations and Cofactors
Mar 5-9	Week 9: 5.3 Cramer's Rule, Inverses, and Volumes, Exam 2 review, 8.5 Fourier series for Lab 4
Mar 12-16	Spring Break, no classes
Mar 19	Lab 4: Fourier Series, (Section 8.5) Meet in computer lab LCB 115
Mar 20,21	Week 10: 6.1 Introduction to Eigenvalues , 6.2 Diagonalizing a Matrix
Mar 23	Exam 2 (Solutions) on Chapters 4 and 5 Sample Exam (Solutions)
Mar 26-30	Week 11: 6.3 Applications to Differential Equations, 6.4 Symmetric Matrices, 6.5 Positive Definite Matrices
Apr 2-6	Week 12: 6.6 Similar Matrices, 6.7 Singular Value Decomposition (SVD), 8.3 Web Search Engine for Lab 5
Apr 9	Lab 5: Web Search Engine, (Sections 6.7, 8.3), Meet in computer lab LCB 115.
Apr 10-13	Week 13: 7.1 The Idea of a Linear Transformation, 7.2 The Matrix of a Linear Transformation
Apr 16-20	Week 14: 7.3 Diagonalization and the Pseudoinverse, Final Exam review
Apr 23-24	Week 15: Student Presentations
Apr 25	Last day of class, Final exam review, projects due
Apr 30	Final Exam 1-3pm in AEB 360

PDF syllabus:

Syllabus for 2270-2 Spring 2012

Math 2270-2 Linear Algebra

http://www.math.utah.edu/~gustafso/s2012/2270/

Instructor:

Professor Grant B. Gustafson
Email: See the online door card: http://www.math.utah.edu/~gustafso/doorcardS2012.pdf
Office: JWB 126
Course Web page, all files: http://www.math.utah.edu/~gustafso/s2012/2270/
Office Hours: M-W 9:30-10:30, MTWF 3-4pm, or by appointment

Meetings:

Time: MTWF 14:00-14:50
Location: AEB 360

Prerequisites:

MATH 2210 OR MATH 1260 OR MATH 1280

Text:

Linear Algebra, fourth edition by Gilbert Strang, ISBN 978-0-980232-71-4.

This book is part of MIT's OpenCourseWare project. There are video lectures and sample exams with solutions on the MIT website:
OpenCourseWare Course 18.06 Linear Algebra.

Course Description:

Euclidean space, linear systems, Gaussian elimination, determinants, inverses, vector spaces, linear transformations, quadratic forms, least squares and linear programming, eigenvalues and eigenvectors, diagonalization. Includes theoretical and computer lab components.

Technology

Course announcements may be made via email. You are responsible for monitoring your University assigned email address. No notes, books, calculators or computers may be used during exams. Weekly homework assignments are to be submitted on paper in class. Answer checks may be done by computer assist, when that is possible (maple, mathematica, matlab, scilab, ruby, R, python, C, C++).
There will be a computer lab component of the course which will require use of the Maple Computer Algebra System. Maple is available in the Math Department computer labs, most departmental computer labs, the Union computer labs and the Marriott Library computer labs . Login information is available at the Math Department student computer labs in the Math Center, located on the lowest level between buildings JWB and LCB.

Quality and Quantity of Work:

You are expected to conduct yourself in a professional manner. This includes classroom etiquette, email correspondence, and written reports such as homework, projects, labs and exams.

Anything that you submit should be neat, legible, and clearly written. Suggestions for writing reports can be found here: http://www.math.utah.edu/~gustafso/s2012/2270/2270format.pdf

University policy 6-100 Section 2:
"A university credit hour shall represent approximately three clock hours of the student's time a week for one semester. "
Thus, you should expect to work two hours outside of class for every hour spent in class. This is a four credit class, so you should plan to spend approximately eight hours outside of class every week studying and doing homework. The assigned homework problems are the minimum. Beyond the minimum, expect to continue working similar problems until they become routine.

Evaluation:

Homework:

Weekly homework assignments will be submitted in class. Late homework will not be accepted. Only extra credit problems may be applied to correct scores from missing work. Homework is scored complete or not complete. You must score at least 55 percent for your homework to be complete.

Homework:

Extra Credit:

Computer Projects

There will be five small computer lab projects and one semester group project.

Five Maple Projects:

Semester Group Project due 25 Apr:

Math Dept Computer Lab: http://www.math.utah.edu/ugrad/lab.html

Exams:

There are two midterm exams. The comprehensive final exam is on Monday April 30 from 1:00pm to 3:00pm, in the regular classroom AEB 360.

Sample Exams:

Exam 1 sample: Exam 2 sample: Final Exam Sample:

Grading:

Homework 20%
Computer Labs 10%
Two Midterms 30%

Semester Project 10%
Final Exam 30%

How the graders score your papers:

For Additional Help:

Tutoring Lab: T. Benny Rushing Mathematics Student Center
Private Tutoring: University Tutoring Services
There is also a list of tutors at the Math Department office, JWB 233

Students with Disabilities:

The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in the class, reasonable prior notice needs to be given to the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations.

All written information in this course can be made available in alternative format with prior notification to the Center for Disability Services.

Note: The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification.