CS 392   Numerical Computation for Scientists and Engineers (3 credits)

Spring 2008

PREREQUISITE:  MATH 182.   Basic computer literacy is assumed.
Numerical methods to solve problems in science and engineering using MATLAB. Number systems and error analysis, finding roots, solving linear systems, curve  fitting, integration and differentiation, solving ordinary differential equations.

Time:        1:10 - 2 MWF

Place:        EPS 350             

Instructor:  Year-Back Yoo   (994-3541, yoo@cs.montana.edu)

Office Hour:   10-11 and 12-1 MW

Textbook:   Applied Numerical Methods with MATLAB for Engineers and Scientists (2nd Ed.)

                   Steven Chapra, McGraw Hill, 2008

Contents

Part One   Modeling, Computers, and Error Analysis

        1.  Mathematical Modeling, Numerical Methods, and Problem Solving

        2.  MATLAB Fundamentals

        3.  Programming with MATLAB

        4.  Round-off and Truncation Errors

Part Two   Roots and Optimization

        5.  Roots: Bracketing Methods

        6.  Roots: Open Methods

        7.  Optimization

Part Three   Linear Systems

        8.  Linear Algebraic Equations and Matrices

        9.  GaussI Elimination

      10.  LU Factorization

      11.  Matrix Inverse and Condition

      12.  Iterative Methods

Part Four   Curve Fitting

      13.  Linear Regression

      14.  Least-Squares and Nonlinear Regression

      15.  Polynomial Interpretation

      16.  Splines and Piecewise Interpretation

Part Five   Integration and Differentiation

      17.  Numerical Integration Formulas

      18.  Numerical Integration of Functions

      19.  Numerical Differentiation

Part Six   Ordinary Differential Equations

      20.  Initial-Value Problems

      21.  Adaptive Methods and Stiff Systems

      22.  Boundary-Value Problems

Grading Policy

        Homework              55 %

        Tests                      45 %

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o Test-1 will be a take-home exam. It will be given on March 3^rd (M);

the due is 1:10pm on March 5^th (W).

If you have questions, call me at (617)259-0880.

o Test-1 will be graded and returned to you on March 7^th (F).