MATH 5620/6865 NUMERICAL ANALYSIS IIPRELIMINARY SPRING 2011 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 Analysis”by Burden and Faires (8th edition, Thomson Brooks/Cole). ISBN 978-0534392000. The 9th edition is also acceptable. References will be given forboth editions.Prerequisites: Math 5610 or instructor’s permission. Basic Matlab pro-gramming.Hours: MTWF 8:35am-9:25amClassroom: MWF: LCB 323. T: JTB 320.Course website:http://www.math.utah.edu/~fguevara/math5620_s11Description: This is the continuation of Math 5610. Topics include.• Solving systems of linear equations (Chap 6–7)• Approximating Eigenvalues (Chap 9)• Boundary value problems for ordinary differential equations (Chap11)• Numerical solution to partial differential equations (Chap 12)Grading:• Homeworks (40%): There will be between 6 and 8 homeworks.• Project (15%): To be announced in class.• Midterm (15%): Tentatively last week of February, in class. Exactdate will be announced at least one week before.• Final (30%) Friday April 29 2011, 8am-10am (per university’s finalexam schedule)Class format: One day of class (Tuesday) will be mostly used as a Q&Asession or computer lab.About programming: Programming is an important part of the home-work for this class. You are strongly encouraged to use Matlab or the opensource (free) alternative Octave. Please see the course website for: (a) howto get Matlab or Octave and (b) guidelines on how to present your numericalexperiments and supporting code.For graduate students: You can take this class as a graduate levelclass (Math 6865). The lectures are the same for everyone but there may beextra problems for PhD students.12MATH 5620/6865 NUMERICAL ANALYSIS II PRELIMINARY SPRING 2011 SYLLABUSOther reference textbooks You are not required to buy these, but Iwill reference them throughout the class.• Kincaid and Cheney, Numerical Analysis: Mathematics of ScientificComputing (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.• Brenner and Scott, The Mathematical Theory of Finite Elements,Springer 2002• Ciarlet, Finite Element Methods for Elliptic Problems, SIAM 2002• LeVeque, Finite Difference Methods for Ordinary and Partial Dif-ferential Equations, SIAM 2007Students with Disabilities: The University of Utah seeks to provideequal access to its programs, services and activities for people with disabil-ities. If you will need accommodations in the class, reasonable prior noticeneeds to be given to the Center for Disability Services, 162 Olpin UnionBuilding, 581-5020 (V/TDD). CDS will work with you and the instructorto make arrangements for accommodations. All written information in thiscourse can be made available in alternative format with prior notification tothe Center for Disability