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DIFFERENTIAL EQUATIONS COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT203 DIFFERENTIAL EQUATIONS 3 4 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Preliminaries. Solutions. Existence-Uniqueness Theorem. Separable Equations. Linear Equations. Homogeneous Equations. -
2 - Exact Equations and Integrating Factors.Substitutions. Approximate solutions (2.6.1 and 2.6.2). Application -
3 - Basic Theory of Higher Order Linear Equations. -
4 - Reduction of Order. Homogeneous Constant Coefficient Equations. -
5 - Undetermined Coefficients. Variation of Parameters. -
6 - The Cauchy-Euler equation. Operator Method. -
7 - Power Series Solutions (ordinary points). -
8 - MID-TERM EXAM -
9 - Power Series Solutions (regular singular points) -
10 - The Laplace Transform. Basic Properties. Convolution. -
11 - Solution of Differential Equations by the Laplace Transform. -
12 - Solutions of Systems of Linear Differential Equations by the Laplace Transform. -
13 - Solutions of Systems of Linear Differential Equations by Elimination: simple elimination and operator method. -
14 - Introduction to Partial Differential Equations -
15 - Introduction to Partial Differential Equations -
16 - FINAL EXAM -
17 - FINAL EXAM -