MATH 477 - Numerical Methods and Analysis II

Description:
This course offers an engaging introduction to numerical methods and analysis. Topics include error propagation in mathematical algorithms, data approximation, numerical differentiation and integration. Course work requires programming experience.

Prerequisites:
Prerequisite: MATH 476 with a grade of C or higher.

Credits: (4)

Learner Outcomes, Activities and Assessments

Learner Outcomes	Activity	Assessment
Students will describe, present and analyze numerical methods for a specific data set, and justify their conclusions.	Students will prepare technical reports of mathematical/ scientific/ technical information in a clear and concise written communication.	Report with rubric evaluated by classmates and faculty. Rubric will measure their written communication, their process and their technical results.
Students will construct and analyze computational approximations for different data sets using interpolation and other polynomial approximations.	Students will code approximation techniques and provide a written report explaining techniques and results. Code will be documented and reviewed.	Graded assignments. This topic will appear in technical reports on one or more projects, in class work, and homework with a rubric evaluated by faculty.
Students will estimate numerical derivatives and numerical integrals for a given dataset.	Students will complete homework, quiz, and/or exam problems that require the application of numerical differentiation and integration.	Graded assignments. This topic will appear in technical reports on one or more projects with a rubric evaluated by faculty.
Students will predict and analyze the error propagation that results from mathematical algorithms.	In classwork, homework and in the technical reports students will analyze how numerical methods compare to perfect computation, understanding how each part of the error corresponds to the numerical method, and estimate the effects. A written summary will be presented with each report submitted.	Graded assignments. This topic will appear in technical reports on one or more projects with a rubric evaluated by faculty.
Students will evaluate other numerical approximation methods.	Students will complete homework, quiz, and/or exam problems that require the application of Fourier Series, least squares approximation, and other numerical approximation methods.	Graded assignment using a rubric.

It should be noted that MATH 476 and 477 form a sequence of courses that are taken together. They share common learner outcomes since the content is distributed across the two courses and the order of coverage may vary.