MZM4 - Selected topics in mathematical analysis
| Course specification | ||||
|---|---|---|---|---|
| Course title | Selected topics in mathematical analysis | |||
| Acronym | MZM4 | |||
| Study programme | Chemical engineering,Material Engineering | |||
| 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: Complex functions of complex variables, Calculus of variations, Series Fourier | |||
| 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 | Complex functions of complex variable-definition, complex sequences, limit and conitnuity, derivative and differentiability, Cauchy-Riemann equations, integration, Cauchy’s integral formulas, Taylor's and Loran's sereies, residues and residue theorem. ; Calculus of variations-unconstrained and constarined minimum of functions of several variables, basic problem of the calculus of variations, problems with high order derivatives Series Fourier-ortogonality of trigonometric functions, Dirichle theorem, seriees Fourier of some functions ; ; | |||
| Contents of exercises | Solving examples and tasks that illustrate various concepts presented in the theoretical contens as well as their mutual relations. Moreover, the practical examples 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 | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | Test paper | |||
| Practical lessons | Oral examination | 60 | ||
| Projects | ||||
| Colloquia | 40 | |||
| Seminars | ||||