| Individual course details | ||||||||||
| Study programme | General physics, Applied and Computational physics | |||||||||
| Chosen research area (module) | ||||||||||
| Nature and level of studies | Undergraduate | |||||||||
| Name of the course | Practicum in Mathematics and Physics | |||||||||
| Professor (lectures) | prof. dr Tatjana Vukovic, doc. dr Sasa Dmitrovic | |||||||||
| Professor/associate (examples/practical) | prof. dr Tatjana Vukovic, doc. dr Sasa Dmitrovic | |||||||||
| Professor/associate (additional) | ||||||||||
| ECTS | 3 | Status (required/elective) | elective | |||||||
| Access requi | none | |||||||||
| Aims of the course | The aim of the course is to acquire the necessary knowledge from the mathematics program in gymnasiums which is necessary for understanding and following courses in physics, primarily in the first year of study. The course is intended for students who did not acquire the necessary knowledge in mathematics during their previous education and therefore have problems in following the regular classes. | |||||||||
| Learning outcomes | Acquiring the necessary knowledge and operability in working with vectors, elementary functions, polynomials, solving equations, complex numbers, function derivatives, integrals and solving diferential equations with separable variables. | |||||||||
| Contents of the course | ||||||||||
| Lectures | 1. The concept of vector, inner, vector and
mixed product and examples from physics. 2. Derivative and tangent to the curve. Speed and acceleration. 3. Elementary functions: linear, square, trigonometric functions, exponential, logarithmic function, and hyperbolic functions. 4. Polynomials and solving equations. 5. Trigonometric equations and inequalities. 6. Complex numbers: operation with complex numbers, trigonometric and exponential form of a complex number, solving equations. 7. The root of a complex number. 8. Derivatives of elementary functions and complex functions. Integral of elementary function. Partial integration. Physical examples and application. 9. Solving integrals that are often encountered in solving physics problems. 10. Differential equilibrium with separable variables and their solution. The course emphasizes the efficiency of solving the problem originating in physics. |
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| Examples/ practical classes | ||||||||||
| Recommended books | ||||||||||
| 1 | Mary L. Boas, ''Mathematical Methods in Physical Sciences'', Wiley , 2006. | |||||||||
| 2 | I. M. Gelfand, A. Shen, "Algebra", Birkhauser, 2013. | |||||||||
| 3 | I. M. Gelfand, M. Saul, "Trigonometry", Birkhauser, 2001. | |||||||||
| 4 | I. M. Gelfand, E. G. Glagoleva, E. E. Shnol, "Functions and Graphs", Birkhauser, 1990. | |||||||||
| 5 | ||||||||||
| Број часова активне наставе недељно током семестра/триместра/године | ||||||||||
| Lectures | Examples& | Student project | Additional | |||||||
| 2 | ||||||||||
| Teaching and learning methods | Lectures, seminars, computational exercises. | |||||||||
| Assessment (maximal 100) | ||||||||||
| assesed coursework | pts | examination | pts | |||||||
| coursework | 10 | written examination | 60 | |||||||
| practicals | oral examination | - | ||||||||
| papers | 30 | |||||||||
| presentations | ||||||||||