MATH 175: NUMERICAL ANALYSIS II Mathematics Division Institute of Mathematical Sciences and Physics University of the Philippines Los Baños 2nd Semester AY 2010-2011

MOTIVATION Could you solve for the roots of Could you solve the following using a computer?

MOTIVATION What is the behavior of a social contagion?

BRIEF COURSE OUTLINE Theory, analysis and implementation of algorithms for solving non-linear equations; linear systems; and ordinary differential equations.

OPTIONAL TOPICS Introduction to numerical methods for Solving non-linear systems Solving stochastic differential equations Solving partial differential equations Optimization

MAJOR REFERENCES Sauer, Timothy (2006). Numerical Analysis. Pearson Addison Wesley. Leader, Jeffery (2004). Numerical Analysis and Scientific Computation. Pearson Addison Wesley. Bradie, Brian (2006). A Friendly Introduction to Numerical Analysis. Pearson Prentice Hall. Cheney, Ward and Kincaid, David (2004). Numerical Mathematics and Computing (5th ed). Thomson Brooks/Cole.

OUR STEPS Model (if model is not given) Numerically solve the model If applicable, do: Error analysis (absolute/relative error, or order of approximation) Determination of the order of convergence Testing for stability, well-posedness or sensitivity

Exercises is done individually LABORATORY Exercises is done individually Software: Spreadsheet Scilab (for programming) Etc…

FINAL GRADE COMPUTATION LECTURE: 60% 2 lecture exams: 60% LABORATORY: 40% at least 8 exercises, assignments, etc.: 40% Grade of 4.0: 55-59%

ATTENDANCE MAX ABSENCES Lecture: 6 OR Laboratory: 3

ATTENDANCE & TARDINESS IN THE LECTURE CLASS I will personally check the attendance every meeting (first 10 minutes of the class).

MISSED REQUIREMENT Exercises Lecture exam Excused: will not be recorded (deleted in the denominator) Unexcused: zero! No late submission Lecture exam Excused: New set of exam will be given

Don’t forget HONOR AND EXCELLENCE!!!

Website http://jfratup.weebly.com/course-pages.html