TET112 - Elements of advanced mathematics 2
Course specification | ||||
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Course title | Elements of advanced mathematics 2 | |||
Acronym | TET112 | |||
Study programme | Textile Technology | |||
Module | ||||
Lecturer (for classes) | ||||
Lecturer/Associate (for practice) | ||||
Lecturer/Associate (for OTC) | ||||
ESPB | 7.0 | Status | ||
Condition | Облик условљености | |||
The goal | The main goal of the course is to present basic definitions and claims from the theory of Integral calculus of functions of real variable, from theory of functions of several variables, from multiple integrals, from theory of ordinary differential equations. Also, students should to ovladaju applications of theoretical results from integral calculus and differential calculus of functions of several variables in solving of of practical technical and technology problems. | |||
The outcome | To prepare students that can apply theoretical knowledge from this course to the other similar courses and to use obtained theorertical knowledge in solving of practical technical and technology problems. | |||
Contents | ||||
Contents of lectures | Definition of integrals, integration of some classes of functions. Real functions of several variables-definition, limits and continuity, partial derivatives and differentiability of functions of several variables. Multiple integrals-elements of vector analysis; curves and surfaces, tangents of curves and tangent planes, surfaces, double integrals and applications; triple integrals and applications. Ordinary differential equations-first order differential equations; high order differential equations, applications of differential equations. | |||
Contents of exercises | n practical part of the course concrete problems and excersies are considered. The main goal is to ilustrate introduced theoretical results from theoretical contents. Theoretical results are used for solving of such problems. | |||
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 | ||||
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 |