22ZP211 - Mathematics 3
| Course specification | ||||
|---|---|---|---|---|
| Course title | Mathematics 3 | |||
| Acronym | 22ZP211 | |||
| Study programme | Biochemical Engineering and Biotechnology,Environmental Engineering,Material Engineering,Metallurgical Enginering | |||
| 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 theoroms from the following areas: ordinary differential equations, systems of ordinary differential equations, series, numerical and potential, introduction to probability theory. | |||
| 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; Series-numerical series- definition, properties, converging criteria, power series- definition, properties, the domain of convergence, converging criteria, expansion of functions into power series, Taylor’s and Maclaurin’s series. Probability – events,definition of probability, characteristics of probability, conditional probability,total probability theorem, Bayes’ theorem. | |||
| 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 | 3 | |||
| Methods of teaching | Lectures and practices | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | Test paper | |||
| Practical lessons | Oral examination | 40 | ||
| Projects | ||||
| Colloquia | 60 | |||
| Seminars | ||||