Math 311-Topics in Applied Math I, Summer 2015 Section 101 M-F 10:00 am-11:35 am Blocker 161 Instructor: Dr. Ke Shi Office: Blocker 512B Email: shike@math.tamu.edu . Please put “Math 311” in the subject line of all course related emails. Course Homepage: http://www.math.tamu.edu/~shike/Teaching/Math%20308%20Spring%202015/ Math_308_Spring_2015.html Office Hours: MWF 1:00 pm - 2:00 pm and by appointment. Textbook: Stephen J. Leon and Susan Jane Colley, Math 311: Custom Edition for Texas A&M University at College Station, Pearson Learning Solutions, Boston, MA, 2012. ISBN 13: 978-1-256-98369-9. Departmental Course Webpage: http://www.math.tamu.edu/courses/math311/ Prerequisites: MATH 221, 251 or 253; MATH 308 or concurrent enrollment, or junior or senior classification or approval of instructor. Credit will not be given for more than one of MATH 304, MATH 309, MATH 311 and MATH 323. Course Description Systems of linear equations, matrices, determinants,vector spaces, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces,orthogonal functions; vector analysis, including gradient, divergence, curl, line and surface integrals, Gauss’, Green’s and Stokes’ theorems. Grades: Assessment Exam 1 Exam 2 Homework Points 40% 40% 20% Date June 19 (Friday) July 3 (Friday) Unless otherwise announced, no calculators etc. will be allowed on any of the exams. Any appeals of grades on the exams or homework must be made within TWO DAYS of the graded exams being returned to the class. Your letter grade will be determined from your total points as follows: A: 90-100%; B: 80-89 %; C: 65-79%; D: 55-64%; F: 0-54%. Homework: In general there will be two assignments per week (due on Tuesday, Friday). There are no assigment due on the exam days. I won’t accept unstabled homeworks. Help sessions: The math department provides help sessions for Math 311. Details will be announced as they become available at http://www.math.tamu.edu/courses/helpsessions.html 1 Absences: Make-up exams and quizzes will only be allowed for university approved excuses which must be verified in writing. See http://student-rules.tamu.edu/rule7.htm. As noted in the university attendance policy, a “University Sponsored Activity” is not automatically an excused absence. A plane ticket is not an excused absence. If feasible, University policy requires written notification in advance. Otherwise, two working days are allowed for notification. Excuses must have some form of written verification such as a doctor’s note. Occasionally extra time will be required to obtain written verification and the make-up exam or quiz may be administered before the documentation is produced. Verbal requests do not count as written notification. If you miss a lecture, you are responsible for obtaining lecture notes from another student. You are also responsible for determining if any announcements were made. Americans with Disabilities Act (ADA) notice: “The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact the Department of Student Life, Disability Services Office, in Room B118 of Cain Hall or call 845-1637.” Academic integrity: The Aggie Code of Honor is “An Aggie does not lie, cheat, or steal or tolerate those who do.” For more information, see http://www.tamu.edu/aggiehonor. If you are unsure what is permitted on an assignment, please ask. Copyright Policy: All printed materials disseminated in class or on the web are protected by Copyright laws. One xerox copy (or download from the web) is allowed for personal use. Multiple copies or sale of any of these materials is strictly prohibited. 2 Tentative Schedule Date 6/2 6/3 6/4 6/5 6/8 6/9 6/10 6/11 6/12 6/15 6/16 6/17 6/18 6/19 6/22 6/23 6/24 6/25 6/26 6/29 6/30 7/1 7/2 7/3 Sections 1.1; 1.2 1.3;1.4 1.4; 1.5 1.5; 2.1 2.2; 3.1 3.1; 3.2 3.2; 3.3 3.3 3.4 3.4; 3.5 3.5; 3.6 4.1 Review Exam I 4.1; 4.2 6.1; 6.3 5.4; 6.4 8.4; 10.1 10.2 11.1 11.2 11.3 Review Exam II Topoc Linear equations and row reduction Matrix algebra, basic matrix trick Matric inversion via row reduction Elementary matrices, determinants Properties of determinants, vector spaces Vector spaces, subspaces, span Span, linear independence Linear independence, coordinate vectors Basis and dimension, coordinate vectors Change of basis Row space and column space Bases, linear transformations Lineaer transformations and their representations Change of basis, eigenvalue problems, diagonalization Inner product spaces, Hermitian matrices Gradient, divergence, curl, and line integrals Green’s Theorem parametrized surfaces Surface integrals Stokes’s Theorem and Gauss’s Theorem 3