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MTH 244: Introduction To Ordinary
Differential Equations
3 credits
Make an in-depth study of first-order differential equations, systems of differential equations, and higher-order equations. Use numerical techniques, slope fields, phase planes, and nullclines to extract information about models. Learn techniques for solving equations: integrating factors, methods of undetermined coefficients, variation of parameters, eigenvalues, and Laplace transforms.
Learning Goals
Classify Differential Equations by degree and type• Understand the use of Initial Values in the solution of Differential Equations• Master techniques for solving First-Order Differential Equations:o Separation of Variableso Linear Equationo Exact Equationso Integrating Factors• Model Real-World Problems via Differential Equations• Master techniques for solving Higher-Order Differential Equations2o Methods for equations with Constant Coefficientso Methods of Undetermined Coefficientso Variation of Parameterso Solution by Green’s Function• Solve Systems of Linear First-Order Differential Equations• Solve Differential Equations with Power Series• Use the Laplace Transform in Solving Differential Equations• Construct Numerical Solutions of Differential Equations
*The learning goals displayed here are those for one section of this
course as offered in a recent semester, and are provided for the purpose of
information only. The exact learning goals for each course section in a
specific semester will be stated on the syllabus distributed at the start
of the semester, and may differ in wording and emphasis from those shown
here.
Sections Offered: Spring 2024 |
| Introduction To Ordinary Differential Equations |
| 0144-244-001 |
J. Hiller |
|
Mon/Wed/Fri |
11:00 am - 11:50 am |
GC - NEX 378 |
3 |
|