14ZP102 - Mathematics 1
Course specification | ||||
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Course title | Mathematics 1 | |||
Acronym | 14ZP102 | |||
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: Basic elements of high Mathematics, Real functions of one real variable, Diferentiation calculus, Elements of linear algebra and analytic geometry | |||
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 | Basic elements of modern mathematics-mathematical logic, set theory, real numbers, complex numbers. Real functions of one real variable-binar relations, elementary functions, polynomial functions, sequences of real numbers, limiting value of sequences, limiting value of functions, continuity of functions. Derivatives, diferentiation, high order derivatives, fundamental theorems from diferentiation calculus, Taylor's theorem. Elements of linear algebra and analytic geometry-determinants, matrices, systems of linear equations, vectors, equations of straight lines and plains | |||
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 | 4 | |||
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 |