ZP112 - Mathematics II
| Course specification | ||||
|---|---|---|---|---|
| Course title | Mathematics II | |||
| Acronym | ZP112 | |||
| Study programme | Biochemical Engineering and Biotechnology,Chemical Engineering,Environmental Engineering,Material Engineering,Metallurgical Enginering | |||
| Module | ||||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 7.0 | Status | ||
| Condition | Облик условљености | |||
| The goal | The goal of this course is to teach students basic concepts and theoroms from the following areas: Integral calculus, Real functions of several real variables, Complex functions of complex variables, Line and multiple integrals, Surface integrals, Scalar and vector fields | |||
| 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. | |||
| Contents | ||||
| Contents of lectures | Integral calaculus—primitive function, the definite integral, inproper integrals, applications of integrals. Real functions of several real variables-definition, limit and continuity, partial derivatives and diferentiation. Complex functions of complex variables-definition, differential calculus, elementary functions. Line and multiple integrals-lines and surfaces, line integrals, double integrals, triple integrals, surface integrals, Green-Stocks and Gauss-Ostrogradski theorems. Scalar and vector fields-definition, divergence and curl of a vector field, Hamilton's operator | |||
| Contents of exercises | The aim of the practical lessions is to solve examples and tasks that illustrate various concepts presented in the theoretical lessions as well as their mutual relations. Moreover, the practical lessions 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 |
| 3 | 3 | |||
| Methods of teaching | Teaching lessions and practices | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | 20 | Test paper | ||
| Practical lessons | Oral examination | 40 | ||
| Projects | ||||
| Colloquia | 40 | |||
| Seminars | ||||