Math 221 - Linear Algebra - Spring 2011
Location: Academic Building IV - Room 151
Time: Tues and Thurs 2:30-3:45

Course Information

Office: Math/Psych 436
Email: bpeercy@umbc.edu
Phone: 410-455-2436
Office Hours: Tues and Thurs 11:00-12:00 and by appointment
Prerequisites: Math 151 or Math 155 with a C or better, or approval of instructor
Course Textbook: David C. Lay's Linear Algebra and Its Applications, third edition, Addison-Wesley, 2003 (or updated printing 2006). Associated webpage: http://www.laylinalgebra.com. This webpage makes available Chapter 1 and some other information in PDF-files, in case you have not obtained the textbook at this point!
Course Description
Linear algebra is ubiquitous in disciplines scientific and social and is a thriving discipline on its own with branches in applied science and more theoretical analysis. In this course we will begin with systems of linear equations and their solutions and then start to abstract these techniques and create a general system of vector spaces from which more general manipulations are possible. We will ground the theory in many examples.

Objectives

• Competence in basic manipulations of matrices and vectors (e.g., ability to solve low-dimensional systems by hand, understand and implement a general row reduction algorithm to solve a linear system, calculate eigenvalues and eigenvectors, construct orthogonal bases and projections, diagonalize matrices)
• Grasp of basic theory including existence of solutions, linear independence of vectors, determinants and matrix invertibility, nullspaces, column spaces and the rank theorem, characteristic equations and eigenvalues, eigenvectors and bases, geometry of orthogonal projections.

Your grade will be broken down as 45% for in-class exams (15% for each of 3 exams), 25% for the final exam, and 30% for homework. There will be approximately 14 weekly assignments 3 of which may be dropped. Since you may drop up to 3 homework assignments, I will not be allowing any late homework. You are still responsible for the material on the homework even if it is not turned in. You must clear a missed exam with me prior to the test day. In the case of an emergency, you must be able to provide verification (e.g. a doctor's note).

Letter grades follow the traditional scale (90's are A's, 80's are B's, etc.) However, I reserve the right to incorporate participation for a student's benefit. Blackboard will be used to post grades.

By enrolling in this course, each student assumes the responsibilities of an active participant in UMBC's scholarly community in which everyone's academic work and behavior are held to the highest standards of honesty. Cheating, fabrication, plagiarism, and helping others to commit these acts are all forms of academic dishonesty, and they are wrong. Academic misconduct could result in disciplinary action that may include, but is not limited to, suspension or dismissal. To read the full Student Academic Conduct Policy, consult the UMBC Student Handbook, the Faculty Handbook, the UMBC Integrity webpage www.umbc.edu/integrity, or the Graduate School website www.umbc.edu/gradschool.
Course Help
Spend 2-3 hours per credit hour in class doing the following