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| Semester: | Spring 2024 |
| Number: | 0144-244-001 |
| Instructor: | Joshua Hiller |
| Days: | Monday Wednesday Friday 11:00 am - 11:50 am |
| Note: | Traditional In-Person Class |
| Location: | Garden City - NEX 378 |
| Credits: | 3 |
| Notes: |
Grade Of C- Or Better In Mth 142 |
| Course Materials: | View Text Books |
| Description: |
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. |
| Prerequisites: |
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