MATH 304, Section 502Linear AlgebraFall 2011Instructor: Yaroslav VorobetsTime: MWF 9:10 – 10:00 a.m.Location: BLOC 160Web page: http://www.math.tamu.edu/~yvorobet/MATH304/Office: Milner 004 (e-mail: [email protected])Office hours: Monday 1:00–3:00 p.m., Wednesday 1:00–2:00 p.m., and by appointmentText: Steven J. Leon, Linear Algebra with Applications, 8th ed., Pearson Prentice Hall, Upp erSaddle River, NJ, 2009 (http://www.pearsonhighered.com/leon/).Prerequisite: MATH 152 (in particular, being familiar with analytic geometry and vectors).Course content: see the next page.Grading system: There will be 2 in-class tests and the final comprehensive exam. The testsare worth 90 points (or 22.5% of the final grade) each, the final exam is worth 100 points (or 25% ofthe final grade). Extra credit can be earned by solving bonus problems. Also, there will be homeworkassignments which will account for another 120 points (or 30% of the final grade). The final gradeswill be assigned according to the 90–80–70–60% scale, that is, A for 360+ pts, B for 320–359 pts, Cfor 280–319 pts, D for 240–279 pts, and F for less than 240 pts.The tentative dates for the two tests are October 12 and November 18. The final exam is scheduledfor Friday, December 9, 10:00 a.m. – 12:00 p.m.I will assign and collect homework about once per week. Late homework will be accepted onlyfor legitimate reasons and may be penalized if circumstances warrant.Make-ups: Make-ups for missed tests will only be allowed for a university approved excuse inwriting. Wherever possible, inform the instructor before a test is missed. Consistent with UniversityStudent Rules, stud ents are required to notify the instructor by the end of the next working dayafter missing a test. Otherwise, they forfeit their rights to a make-up.Academic integrity: Although students are encouraged to discuss homework problems, eachstudent is expected to write his/her own solutions. Copying another student’s work is dishonest andacademically worthless. Information about the Honor Council Rules and Procedures can be foundat http://aggiehonor.tamu.edu/Copyright notice: All course materials (b oth printed and web-based) are protected by U.S.Copyright Laws. No multiple copies can be made without written permission by the instructor.Students with disabilities: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehen sive civil rights protection for persons with disabilities.Among other things, this legislation requires that all students with disabilities be guaranteed alearning environment that provides for reasonable accommodation of their disabilities. If you believeyou have a disability requiring an accommodation, please contact Disability Services, in Room B118of Cain Hall or call 845–1637. For additional information, visit http://disability.tamu.edu/MATH 304, Section 502Linear AlgebraFall 2011Course content: This is an introductory course in linear algebra covering the abstract conceptsof vector space and linear transformation as well as some models and applications of these concepts toproblems in the real world. The main topics to be covered are: systems of linear equations, matrices,determinants, vector spaces, linear transformations, orthogonality, eigenvalues and eigenvectors.The emphasis of the course is on applications and problem solving. However the course alsocontains a substantial amount of abstract theory. The student should be able to do simple proofs.Course outlinePart I (≈ 3 weeks): Elementary linear algebra• Systems of linear equations• Gaussian elimination, Gauss-Jordan reduction• Matrices, matrix algebra• DeterminantsLeon’s book: Chapters 1–2Part II (≈ 4.5 weeks): Abstract linear algebra• Vector spaces• Linear independence• Basis and dimension• Coordinates, change of basis• Linear transformationsLeon’s book: Chapters 3–4Part III (≈ 4 weeks): Advanced linear algebra• Orthogonality• Inner products and norms• The Gram-Schmidt orthogonalization process• Eigenvalues and eigenvectors• DiagonalizationLeon’s book: Sections 5.1–5.6, 6.1, 6.3Part IV (≈ 2 weeks): Topics in applied linear algebra• Matrix exponentials• Rotations in space• Orthogonal polynomials• Fourier seriesLeon’s book: Chapters 5–6 (selected
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