Math 170C deals primarily with the numerical solution of ordinary differential equations (ODEs). In 170C we will also study related numerical techniques for approximating the derivatives and integrals of functions in a stable and accurate way. Previous quarters dealt with numerical linear algebra (170A) and nonlinear equations and numerical approximation theory (170B), and we will have occasion to use these ideas to develop new techniques in 170C. The textbook for the course will be as listed below.
Instructor: | Tanya Shingel |
Email: | tshingel@math.ucsd.edu |
Office hours: | Mo,Thu 10:00-11:00am or by appointment in AP& M 5747 |
TA: | Jonny Serencsa |
Email: | jserencs@math.ucsd.edu |
Section: | Tu 1:00-1:50pm in Center 218 |
Office hours: | We 1:00-3:00pm or by appointment in AP& M 5720 |
Lectures: | MWF 3:00-3:50pm in AP& M 2402 |
A MATLAB code should be sent in a single email to Jonny Serencsa .
Short list of things you may take into account when doing a MATLAB question:
Homework is your individual work. You may consult other current MATH 170C students to clarify their approach to a problem. However, as a general guide, you should be able to independently reproduce any solution that is submitted as homework. Copying of solutions is not permitted and will be considered as a violation of these guidelines.
Homework: | 30% |
Midterm Exam: | 30% |
Final Exam: | 40% |
Cutoff score: | 95% | 90% | 85% | 80% | 75% | 70% | 65% | 55% | 50% | less than 50% |
Grade: | A+ | A | A- | B+ | B | B- | C+ | C | C- | F |
03/28/2011: | Polynomial interpolation. Largange interpolation formula. |
03/30/2011: | Polynomial interpolation (cont.). Error in polynomial interpolation. |
04/01/2011: | Polynomial Interpolation (cont.). Divided differences. Newton interpolation formula. |
04/04/2011: | Numerical differentiation. Richardson extrapolation. |
04/06/2011: | Numerical integration based on interpolation. |
04/08/2011: | Numerical integration based on interpolation (cont.). Trapezoidal rule. Simpson's rule. |
04/11/2011: | Romberg integration. |
04/13/2011: | Adaptive quadrature. |
04/15/2011: | Gaussian quadrature. |
04/18/2011: | Basic theory of ordinary differential equations. Existence and uniqueness of solutions. |
04/20/2011: | Euler's method. |
04/22/2011: | Taylor-series method for ODEs. |
04/25/2011: | Runge-Kutta methods. |
04/27/2011: | Review for the midterm exam. |
04/29/2011: | Midterm Exam. |
05/02/2011: | Multistep methods. Adams-Bashforth formula. |
05/04/2011: | Multistep methods (cont.). Adams-Moulton formula. |
05/06/2011: | Multistep methods (cont.). Local and global errors: stability. |
05/09/2011: | Systems of higher-order ODEs. |
05/11/2011: | Systems of higher-order ODEs (cont.). Extensions of the methods. |
05/13/2011: | Systems of higher-order ODEs (cont.). Extensions of the methods. |
05/16/2011: | Introduction to boundary-value problems in ODEs. |
05/18/2011: | Boundary-value problems. Shooting methods. |
05/20/2011: | Boundary-value problems. Shooting methods (cont.). |
05/23/2011: | Boundary-value problems: finite difference methods. |
05/25/2011: | Boundary-value problems: finite difference methods (cont.). |
05/27/2011: | Linear systems of autonomous ODEs. |
05/30/2011: | Memorial Day. |
06/01/2011: | Linear systems of autonomous ODEs (cont.). |
06/03/2011: | Review for the final exam. |
06/08/2011: | Final Exam. |