معادلات تفاضلية - DIFFERENTIAL EQUATIONS

المقررات / معادلات تفاضلية - DIFFERENTIAL EQUATIONS
رمز المقرر:
MATH 3201
اسم المقرر:
معادلات تفاضلية - DIFFERENTIAL EQUATIONS
:المعتمدة الساعات
3
المتطلبات السابقة:
تفاضل و تكامل 3 ( ريض 3213) - Calculus III ( MATH 3213 )

عن المقرر

Basic concepts, First-order differential equations, Existences and uniqueness for initial–boundary value problems, Separable variables, Homogeneous equations, Exact equations, Linear equations, Equations of Bernoulli-Ricatti, Substitutions, Picard's methods, Linear differential equations of higher-order, Homogeneous equations with constant coefficients, Method of undetermined coefficients, Method of variation of parameters, Differential equations with variable coefficients, Cauchy-Euler equations, Laplace transform, Applications of Laplace transform to solve ordinary differential equations, Non-homogenous equations.

الكتب المقررة:

Main Textbook:  Zill, D.G. A First Course in Differential Equations with Modeling Applications, 11th Edition, Cengage Learning, 2017.  Nagle, R. K. Saff, E. B. and Snider, A. D. Fundamentals of Differential Equations and Boundary Value Problems, Addison-Wesley Longman, 2000. Subsidiary Books:  Edwards, C. H. and Penney, D. E. Elementary Differential Equations with Boundary Value Problems, 6 th Edition, Pearson Prentice Hill, 2008.  Ross S.L. Introduction to Ordinary Differential Equations, John Wiley, New York, 1998.