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Programs referencing this course

Columbian College of Arts and Sciences

Mathematics (MATH)

MATH

3553

Introduction to Numerical Analysis

Intro to Numerical Analysis

Spring 2016

3

Course Type

Lecture

Default Grading Method

Letter Grade

No

No

MATH 2184 or MATH 2185, and MATH 2233, and one of CSCI 1011, CSCI 1041, CSCI 1111, CSCI 1121 or CSCI 1131

Corequisites

30

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?

No

No

Fee Type

No

Accuracy and precision. Linear systems and matrices. Direct and iterative methods for solution of linear equations. Sparse matrices. Solution of nonlinear equations. Interpolation and approximate representation of functions, splines.

1. To analyze the sources of computational errors and learn how to control them; 2. To identify different interpolation schemes and know how to implement them to estimate function values; 3. To implement different numerical techniques in order to apply them for solving non-linear equations; 4. To apply elimination and iterative methods to solve a set of linear equations; 5. To apply least-squares regression for a polynomial fit or function fit for a given data set; 6. To know how to use Newton-Cotes closed formulas to integrate a function or a set of discrete data; 7. To apply and implement methods to solve for a first/second-order ordinary di erential equation; 8. To formulate Galerkin finite element method for 1D PDE and implement the method.

Uploaded a Course Syllabus

Course Attribute

CCAS - GCR: Q & L

Key: 4845