Date Reading Topic Due Date 1/13 text, pp.1-8; optionally, Matlab Tutorial course introduction, floating-point error 1/15 Floating-Point Arithmetic Tutorial and text, pp.29-39; optionally, text, pp.16-24 (repeats tutorial) floating-point arithmetic 1/20 Problem Solving techniques of problem solving 1/22 text, pp.49-66 solving linear systems 1/27 text, pp.66-70 the LU factorization 1/29 text, pp.70-81 pivoting 2/03 text, pp.81-92 special systems, software Homework 3, Solutions 2/05 text, pp.105-110; optionally, Google's Page Rank what Google does, least squares problems 2/10 text, pp.110-121 least squares problem transformations 2/12 text, pp.121-137 Gram-Schmidt 2/17 * * First Hour Exam, Solutions 2/19 text, pp.8-16, 24-28 how to get the wrong answer 2/24 text, pp.309-317 Lagrange and monomial bases for interpolation 2/26 text, pp.317-321, 326-333 Newton basis, splines 3/03 text, pp.339-355 numerical quadrature (integration) 3/05 text, pp.355-359, 365-368, 371-373 adaptive quadrature, numerical differentiation 3/10 Bezier Curves Bezier curves 3/12 text, pp.216-233 finding roots of nonlinear equations 3/17 also text, pp.216-233 more root finding 3/19 * * Second Hour Exam SPRING BREAK! 3/31 tutorial sections 1-2.1 and pp. 365-368 solving ordinary differential equations (ODEs) Homework 8, Solutions 4/02 pp. 382-401 and tutorial section 4.1 Euler's method 4/07 tutorial section 4.2 higher order ODEs 4/09 pp.404-410 and a derivation of RK2 methods. Runge Kutta methods, multistep methods 4/14 Liz Bradley on chaotic dance--an application of some of the things we've learned 4/16 pp.401-404 and this Section 9.3. stiffness and errors in ODEs, 4/21 solving systems of ODEs, ODE45 = RKF45, and the hard sphere model 4/23 pp.447-454 An intro to PDEs 4/28 Matthew Woiteszek, NCAR, high-performance and grid computing, an example involving rockets! pp.472-476 Multiple integration, an intro to iterative methods for linear systems 4/30 Performance of numerical software, parallel computing 5/4 Final Hour Exam, 1:30-4:00pm, ECCR 155 Exam Review Sample Exam Sample Exam Solutions (yes, there were four exams in 2000, and these exams refer to a different text)