ENGINEERING ANALYSIS I

Prerequisites & course information

Requisites: MATH 321 , 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: Fall 2026 Learning Outcomes: 1. Solve ordinary differential equations in the form of initial-value and boundary-value problems through substitution, integrating factors, and Laplace and Fourier transforms Audience: Both Grad & Undergrad 2. Apply methods of undetermined coefficients, variation of parameters, and Green’s functions to solve inhomogeneous ordinary differential equations Audience: Both Grad & Undergrad 3. Identify whether linear algebraic systems have a unique solution, no solution, or an infinite number of solutions and apply methods for solving algebraic systems Audience: Both Grad & Undergrad 4. Determine eigenvalues and eigenvectors of algebraic eigenvalue problems Audience: Both Grad & Undergrad 5. Determine whether a function is analytic in the neighborhood of some point in the complex plane and apply contour integration to evaluate integrals Audience: Both Grad & Undergrad 6. Identify appropriate combinations of methods for solving problems arising in engineering and scientific applications Audience: Graduate Learning Outcomes: 1. Solve ordinary differential equations in the form of initial-value and boundary-value problems through substitution, integrating factors, and Laplace and Fourier transforms Audience: Both Grad & Undergrad 2. Apply methods of undetermined coefficients, variation of parameters, and Green’s functions to solve inhomogeneous ordinary differential equations Audience: Both Grad & Undergrad 3. Identify whether linear algebraic systems have a unique solution, no solution, or an infinite number of solutions and apply methods for solving algebraic systems Audience: Both Grad & Undergrad 4. Determine eigenvalues and eigenvectors of algebraic eigenvalue problems Audience: Both Grad & Undergrad 5. Determine whether a function is analytic in the neighborhood of some point in the complex plane and apply contour integration to evaluate integrals Audience: Both Grad & Undergrad 6. Identify appropriate combinations of methods for solving problems arising in engineering and scientific applications Audience: Graduate