MAS 3105-2
APPLIED LINEAR ALGEBRA I
Spring 2007
Instructor: W. Mio Email: mio@math.fsu.edu
Office: 111 LOV Phone: 644-5596
Web page: http://www.math.fsu.edu/~mio/
Office Hours: TR 10:50-11:40 am, or by appointment.
Prerequisites. Calculus II (MAC 2312 or equivalent) with a grade of C- or better.
Text. Linear Algebra and Its Applications by David C. Lay. Addison-Wesley, 3rd edition.
Course Content. Most of chapters 1, 2, 4, 5, 6, and 7. The course will cover basic elements of linear algebra from both theoretical and computational perspectives. The material includes the study of systems of linear equations, matrix algebra, vector spaces, inner-product spaces, linear transformations, and quadratic forms. Selected applications to problems involving data analysis will be explored to illustrate the power and usefulness of the methods discussed.
Course Objectives. Linear algebra provides fundamental methods and tools for modeling and analyzing data and phenomena arising in the sciences and engineering. Data mining, image analysis, bioinformatics, and computer visualization are some examples of modern applications where the methodology of linear algebra plays an important role. The main goal of the course is to introduce students to the theoretical and computational components of the discipline, emphasizing the applicability of the methods and techniques discussed. The key algebraic notions in linear algebra have geometric counterparts that allow us to visualize various concepts. Both aspects of the subject will be explored, as the interplay between geometry and algebra leads to a deeper understanding of the concepts discussed and opens new perspectives.
Grading. There will be two unit tests, several short quizzes and a final exam. Your work will be weighted as follows: unit tests - 25% each; cumulative quizzes - 25%; final exam - 25%. Letter grades will be based on numerical grades in the usual way. (A: 90-100; B: 80-89; C: 70-79; D: 60-69, with +/- grades assigned at the discretion of the instructor.) A grade of I will not be given to avoid a D or an F, or to provide additional study time. Failure to process a course drop will result in a course grade of F.
Exam Policy. No makeup exams will be given. An absence from a quiz or test may be excused if the student presents sufficient evidence of extenuating circumstances. Absences from tests or quizzes due to family social events will not be excused. If a test absence is excused, the final exam grade will be used in its place. For an excused quiz absence, the next unit test or final exam grade will be used.
Honor Code. The Academic Honor System at The Florida State University is based on the premise that each student has the responsibility 1) to uphold the highest standards of academic integrity in the student's own work, 2) to refuse to tolerate violations of academic integrity in the University community, and 3) to foster a high sense of integrity and social responsibility on the part of the University community. A copy of the University Academic Honor Code can be found in the current Student Handbook and you are bound by it in all your academic work.
American Disabilities Act. Students with disabilities needing academic accommodations should register with and provide documentation to the Student Disability Resource Center (SDRC), and bring a letter from the SDRC to the instructor indicating their needs.This should be done within the first week of class.
Test 1: Thursday, February 8. Test 2: Thursday, March 29.
Final exam: Tuesday, April 24, 10:00-12:00 noon.