Differential Equations
Course code
MLM6004.DT
old course code
MLM6004
Course title in Estonian
Diferentsiaalvõrrandid
Course title in English
Differential Equations
ECTS credits
4.0
approximate amount of contact lessons
52
Teaching semester
autumn
Assessment form
Examination
lecturer of 2019/2020  Spring semester
õppejõud on määramata
lecturer of 2020/2021  Autumn semester
lecturer not assigned
Course aims
To develop the student´s basic skills to solve differential equations and their systems, and to demonstrate different types of applications. Core subject of the bachelor level mathematics programme
Brief description of the course
Definitions, differential equations as mathematical models. Separable variables, first-order linear equations. General theorems on differential equations of higher order. Linear systems with constant coefficients. Initial-value problems. Non-linear systems
Attending lectures is a prerequisite of the learning process.
Independent work
Acquiring of the theory, solving problems
Learning outcomes in the course
Knows mathematical truths and is able to use methods in volume of a subject, is able to prove and apply them.
Assessment methods
2 home assignments, 2 tests, exam
Teacher
Replacement literature
Vainikko, G. 1986 Harilikud diferentsiaalvõrrandid. Tln, “Valgus”;
Zill, D. G. 1997 A first course in differential equations with modeling applications. Brooks/Cole Publishing Company;
Arrowsmith, D.; Pleis, K. 1986 Harilikud diferentsiaalvõrrandid. Moskva, “Mir” (vene k.);
Filippov, A. F. 1979 Diferentsiaalvõrrandite ülesannete kogu. Moskva,“Nauka” (vene k.): А.Ф.Филиппов. Сборник задач по дифференциальным уравнениям.