About MATH 3201 C
Differential equations, Laplace transforms, and systems of differential equations; brief introduction to Fourier series. Examples from engineering and physical sciences. Credit not granted for both MATH 3230 and MATH 3201. No credit for Mathematics majors. Prerequisite: MATH 2248. Co-requisites: Preferred: MATH 2522 or MATH 2544; or MATH 2500.
Notes
Prereqs enforced by the system: MATH 2248; Coreq: MATH 2522 or MATH 2544 or MATH 2500; Open to Degree and PACE students
Section Description
Course Overview: Differential equations, Laplace transforms, and systems of differential equations; brief introduction to Fourier series. Examples from engineering and physical sciences. Credit not granted for both MATH 3230 and MATH 3201. No credit for Mathematics majors. Prerequisite: MATH 2248. Co-requisites: Preferred: MATH 2522 or MATH 2544; or MATH 2500. Catamount Core: QR. Learning Outcomes: After successfully completing this course, the student will be able to: 1. Solve differential equations of first order using analytical and numerical methods. 2. Solve and apply linear differential equations of second and higher order to real world problems. 3. Solve linear differential equations using the Laplace transform technique. 4. Solve systems of differential equations 5. Develop the ability to apply differential equations to significant applied and theoretical problems. Detailed Topics: Separable Equations, Linear Equations, Exact Equations Solutions by Substitutions Linear Models Reduction of Order Linear Equations with Constant Coefficients Undetermined Coefficients Variation of Parameters Cauchy-Euler Equations Solving Systems of Linear Differential Equations Definition of the Laplace Transform Inverse Transforms and Transforms of Derivatives Translation Theorems Additional Operational Properties Derivatives of Transforms Transforms of Integrals Systems of Linear Differential Equations Fourier Series
Section Expectation
Class attendance required. Detailed course notes provided by professor Required Materials: WebAssign access for Advanced Engineering Mathematics, 7th edition, by Dennis G. Zill. WebAssign includes access to the e-text of the textbook as well as homework exercises.
Evaluation
Weekly Webassign homework, weekly quizzes or practice, 2 midterm exams and 1 final exam.
Important Dates
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Interest Form
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