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E M A 548

ENGINEERING ANALYSIS II

3 credits.

Function of complex variable, series solution of differential equations, partial differential equations. A year of math beyond calculus

Prerequisites & course information

Requisites: ( MATH 322 and 320 ), ( MATH 322 and E P/E M A 547 ), or ( MATH 322 , 319 , and 340 ), or graduate/professional standing, or member of Engineering Guest Students Course Designation: Core GenEd - Natural Science & Wellness Breadth - Physical Science Level - Intermediate L&S Credit - L&S Liberal Arts and Science Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Spring 2026 Learning Outcomes: 1. Apply local analysis and asymptotic methods to distinguish analytical and singular behavior of ordinary differential equations to approximate their solutions Audience: Both Grad & Undergrad 2. Apply asymptotic methods to estimate the values of integrals Audience: Both Grad & Undergrad 3. Use perturbative methods such as boundary-layer theory, WKB theory, and multi-scale analysis to analyze ordinary differential equations Audience: Both Grad & Undergrad 4. Apply the method of characteristics and separation of variables to solve partial differential equations Audience: Both Grad & Undergrad 5. Identify appropriate combinations of methods for solving problems arising in engineering and scientific applications Audience: Graduate Learning Outcomes: 1. Apply local analysis and asymptotic methods to distinguish analytical and singular behavior of ordinary differential equations to approximate their solutions Audience: Both Grad & Undergrad 2. Apply asymptotic methods to estimate the values of integrals Audience: Both Grad & Undergrad 3. Use perturbative methods such as boundary-layer theory, WKB theory, and multi-scale analysis to analyze ordinary differential equations Audience: Both Grad & Undergrad 4. Apply the method of characteristics and separation of variables to solve partial differential equations Audience: Both Grad & Undergrad 5. Identify appropriate combinations of methods for solving problems arising in engineering and scientific applications Audience: Graduate

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