Course Description
Introduction to ordinary differential equations (classification and creation).ODEs of first order. ODEs of second order: general solution of linear equations of second order, differential equations with constant coefficients, method of variation of constants, method of undetermined coefficients. ODEs of higher orders: reduction of order method, Cauchy Euler equation. Series solutions of linear equations. Linear systems of differential equations. Applications of ordinary differential equations. Solution of ODEs mathematically and graphically using computer packages.
Course Objectives & Outcomes
Course Objectives:
- Introduce students to the ordinary differential equations and its different solving methods.
- Equip students with necessary knowledge and skills to enable them handle mathematical problems involving ordinary differential equations.
Outcomes:
Upon successful completion of this course students will be able to:
- Identify examples of different kinds of ODEs.
- Apply different methods for solving ODEs.
- Solve linear systems of ODEs.
- Explain methods of solving some life applications related to ODEs.
- Use appropriate computer packages to solve ODEs mathematically and graphically.
References
Textbook:
1. D.G.Zill, (2013), A First Course in Differential Equations with Modeling Applications, 10th edition, Brooks Cole Cengage learning, ISBN-13:978-1-111-82705-2, ISBN-10:1-111-82705-2
Optional:
2. W. E. Boyce and R. C. Dip Rima, (2012), Elementary Differential Equations and Boundary Value Problems, 10th edition, John Wiley & Sons Inc. , ISBN-13: 978-1118157381, ISBN-10: 1118157389.
3. W.R. Derrick, S.I. Grossman, (1987), Introduction to Differential Equations with Boundary Value Problems, 3rd edition, West Publishing Company, ISBN-13: 978-0-314-26897-6, ISBN-10: 0-314-26897-9.
Course ID: MATH 302
Credit hours | Theory | Practical | Laboratory | Lecture | Studio | Contact hours | Pre-requisite | 4 | 4 | 4 | MATH 203 |
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