|Type of course:||Compulsory|
|Language of instruction:||Romanian|
|Erasmus Language of instruction:||English|
|Name of lecturer:||Mihaela Aldea|
|Seminar tutor:||Pax Dorin Wainberg-Drăghiciu|
|Form of education||Full-time|
|Form of instruction:||Class|
|Number of teaching hours per semester:||56|
|Number of teaching hours per week:||4|
|Form of receiving a credit for a course:||Grade|
|Number of ECTS credits allocated||4|
1. First order differential equations: Basic concepts. Cauchy problem. 2. Separable differential equations. Homogeneous equations. 3. Linear differential equations. 4. Bernoulli, Riccati, Lagrange, Clairaut Differential equations. 5. Exact differential equations; Solutions existence and uniqueness 6. Higher order differential equations: Cases and modalities for reduction the order of an equation; Linear differential equations with variable coefficients. Fundamental sets of solutions. 7. Method of undetermined coefficients . Differential equations with constant coefficients. 8. Systems of differential equations: Systems of first order differential equations, the equivalence with higher order differential equations. Cauchy problem. 9. The fundamental matrix of a system of first order linear differential equations with variable coefficients. 10. Systems of first order linear differential equations with constant coefficients. Matrix exponential 11. Autonomous systems 12. Partial derivates equations: Linear , homogeneousand nonhomogeneous first order partial derivates equations. 13. Second order partial derivates equations. 14. Equations of mathematical physics. Laplace equation.
Learning the basic techniques of solving differential calculus problems; knowledge and application of theorems, models, their properties and methods of work in the field of differential equations and partial derivatives.