# Math 477: Numerical Analysis - Spring, 2017

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1 Math 477: Numerical Analysis - Spring, 2017 Course Summary. This course is part of a two-course sequence (Math 476 and 477) that together provide an introduction to many basic methods used in numerical analysis. The main topics may include: Taylor series polynomials, matrices, interpolation and approximation of functions, numerical integration and differentiation, solution of non-linear equations, acceleration and extrapolation, solution of systems of linear equations, and computer programs applying these numerical methods. By the end of these courses you will be able to... Describe, present and analyze numerical methods for a specific data set, and justify their conclusions. Construct and analyze computational approximations for different data sets using interpolation and other polynomial approximations. Estimate numerical derivatives and numerical integrals for a given dataset. Predict and analyze the error propagation that results from mathematical algorithms. Evaluate other numerical approximation methods. In addition, in this class we will reinforce: Applying appropriate technology to solve problems; Working cooperatively with others; Problem solving skills, Describe the methods used to approach a problem; Read and understand complex mathematical problems; Model phenomena mathematically; How to express solutions in written and oral form. How to speak math, and How to use logic to justify mathematical ideas, Course Prerequisites: To succeed in this course you will need to have mastered basic calculus, proof writing, and matrix manipulation. In addition, this is a mathematics course with a substantial programming component yet the focus of the assignments is on the mathematical analysis of these programs. Any programming language can be used to complete the assignments and note that the programming component will only count for 25% of the grade of the assignment, plan to spend your time accordingly Syllabus Changes: I reserve the right to change the policies contained in this syllabus as dictated by developments during the quarter. Instructor Contact Information Instructor: Brandy Wiegers, PhD Office: Bouillon 107A Phone: (509) Website: The best way to contact the instructor is at office hours or via . Expect a hour delay in response. If you haven t received a response within 24 hours of the original please contact the professor again.

### Math 477: Numerical Analysis

Course Summary Math 477: Numerical Analysis Spring, 2015 This course is part of a year-long course sequence (Math 475, 476, and 477) that provide an introduction to many basic methods used in numerical

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