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MATH 175: NUMERICAL ANALYSIS II
Mathematics Division Institute of Mathematical Sciences and Physics University of the Philippines Los Baños 2nd Semester AY
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MOTIVATION Could you solve for the roots of
Could you solve the following using a computer?
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MOTIVATION What is the behavior of a social contagion?
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BRIEF COURSE OUTLINE Theory, analysis and implementation of algorithms for solving non-linear equations; linear systems; and ordinary differential equations.
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OPTIONAL TOPICS Introduction to numerical methods for
Solving non-linear systems Solving stochastic differential equations Solving partial differential equations Optimization
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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.
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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
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Exercises is done individually
LABORATORY Exercises is done individually Software: Spreadsheet Scilab (for programming) Etc…
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FINAL GRADE COMPUTATION
LECTURE: 60% 2 lecture exams: 60% LABORATORY: 40% at least 8 exercises, assignments, etc.: 40% Grade of 4.0: 55-59%
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ATTENDANCE MAX ABSENCES Lecture: 6 OR Laboratory: 3
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ATTENDANCE & TARDINESS IN THE LECTURE CLASS
I will personally check the attendance every meeting (first 10 minutes of the class).
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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
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Don’t forget HONOR AND EXCELLENCE!!!
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