ZP27 - Differential equations
Course specification | ||||
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Course title | Differential equations | |||
Acronym | ZP27 | |||
Study programme | ||||
Module | ||||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 5.0 | Status | ||
Condition | Credits from courses equivalent to Mathematics I and Mathematics II | Облик условљености | ||
The goal | The goal of this course is to teach students basic concepts and theorems from the following areas: ordinary differential equations, systems of ordinary differential equations, partial differential equations, Laplace transformations. | |||
The outcome | This course provides knowledge that can be applied to other natural science and technical-technological courses taught in the department. The course is intended to enable students to successfully apply the acquired mathematical knowledge in solving techical and technological problems, as well as in mathematical processing of experimental data. ; ; | |||
Contents | ||||
Contents of lectures | Ordinary differential equations – the first-order differential equations, differential equations of the second and higher orders, some applications of ordinary differential equations; ; ; Systems of ordinary sifferential equations-definition, methods of solution; some applications of systems of ordinary differential equations; ; ; Partial differential equations- the first order partial differential equations, the second order partial differential equations, numerical solution of partial differential equations, some applications of partial differential equations; ; ; Laplace transformations- definition, properties, inverse Laplace transformations, application of Laplace transformations to solving differential equations and systems of differential equations. ; | |||
Contents of exercises | The aim of the practices is to solve examples and tasks that illustrate various concepts presented in the theoretical lessions as well as their mutual relations. Moreover, the practices give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences. | |||
Literature | ||||
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Number of hours per week during the semester/trimester/year | ||||
Lectures | Exercises | OTC | Study and Research | Other classes |
2 | 2 | 0 | ||
Methods of teaching | Lectures and practices | |||
Knowledge score (maximum points 100) | ||||
Pre obligations | Points | Final exam | Points | |
Activites during lectures | Test paper | 40 | ||
Practical lessons | Oral examination | |||
Projects | ||||
Colloquia | 60 | |||
Seminars |