MATH 5610/6860 NUMERICAL ANALYSIS IFALL 2009 SYLLABUSInstructor: Fernando Guevara Vasquez.Contact info: [email protected], 801-581-7467, LCB 212.Office hours: MTW, 9:30am–10:30am or by appointment.Textbook: This class is mostly based on the book “Numerical Anal-ysis” by Burden and Faires (8th edition, Thomson Brooks/Cole).Prerequisites: Multivariate calculus (e.g. Math 2210 Calculus III),basic linear algebra (e.g. Math 2250 or Math 2270) and basic program-ming.Hours: MTWH: 8:35am – 9:25amClassroom: LCB 225Course website: Updated weekly with class notes, homeworks, solu-tions, office hours changes. . . RSS feed available, for more details see:http://www.math.utah.edu/~fguevara/math5610_f09Description: This is the first semester of a two semester series ofclasses which is an introduction to numerical analysis. Topics coveredinclude:• Preliminaries: calculus review, Taylor’s theorem, computer arith-metic (Chap 1), Matlab primer• Solution of nonlinear equations of one variable (Chap 2)• Interpolation and polynomial approximation (Chap 3)• Numerical differentiation and integration (Chap 4)• Solving systems of linear equations (Chap 6–7)• Approximation theory (Chap 8)If time permits we will also cover• Numerical solution of non-linear systems of equations. Opti-mization (Chap 10)• Approximating eigenvalues (Chap 9)Grading:• Homeworks (40%): There will be between 6 and 8 homeworks.• Project (15%): To be announced in class.• Midterm (15%): Tentatively Thu Oct 8 2009, in class. Exactdate will be announced at least one week before.• Final (30%) Wed Dec 16 2009, 8am-10am in the regularly sched-uled classroom (per university’s final exam schedule)12 MATH 5610/6860 NUMERICAL ANALYSIS I, FALL 2009Class format: One day of class (probably Tuesday) will be mostlyused as a Q&A session or computer lab.About programming: Programming is an important part of thehomework for this class. You are strongly encouraged to use Matlabor the open source (free) alternative Octave. Please see the coursewebsite for: (a) how to get Matlab or Octave and (b) guidelines onhow to present your numerical experiments and supporting code.For graduate students: You can take this class as a graduate levelclass (Math 6860). The lectures are the same for everyone however ifyou take this class as Math 6860 you are required to do some extrawork and will be evaluated differently. To be more precise:• There will be extra problems or questions in your homeworkthat require a deeper understanding of the material. They willbe clearly indicated and may substitute questions for Math 5610students. Some of the questions intended for graduate studentscan be given as extra credit for the rest of the class.• More rigorous solutions are expected.• The project you choose should be sufficiently challenging (to bediscussed with the instructor).Other reference textbooks You are not required to buy these, butI will reference them throughout the class.• Kincaid and Cheney, Numerical Analysis: Mathematics of Sci-entific Computing (3rd edition, Brooks/Cole), 2001.• Stoer and Burlisch, Introduction to Numerical Analysis,Springer 1992.• Trefethen and Bau, Numerical Linear Algebra, SIAM 1997.• Golub and Van Loan, Matrix Computations, John Hopkins 1996.Students with Disabilities: The University of Utah seeks to provideequal access to its programs, services and activities for people withdisabilities. If you will need accommodations in the class, reasonableprior notice needs to be given to the Center for Disability Services,162 Olpin Union Building, 581-5020 (V/TDD). CDS will work withyou and the instructor to make arrangements for accommodations. Allwritten information in this course can be made available in alternativeformat with prior notification to the Center for Disability