Engineering Mathematics Course code: 100307 | 7 ECTS credits
Basic information
Level of Studies:
Year of Study:
1
Semester:
1
Requirements:
Goal:
Acquiring the necessary mathematical knowledge for professional subjects in the field of electrical engineering, expanding mathematical education, developing creative thinking and creating a basis for understanding quantitative relationships among phenomena.
Outcome:
Students will be able to solve complex mathematical problems related to the application of modern mathematical methods in the field of electrical engineering.
Contents of the course
Theoretical instruction:
- Complex numbers.
- Determinants, characteristics, and calculation.
- The notion of matrix, properties, and operations. Inverse matrix. Matrix rank.
- Methods for solving the system of linear equations.
- Domain of function, zeros and sign of function, y-axis cross-section, parity and periodicity.
- 1st colloquium.
- Concept and calculation of the limit value of a function. Function asymptotes (vertical, horizontal, slant).
- Derivatives and differentials of function. Flatness and convexity of function.
- Basic Derivative Theorems: L'Hospital Rule, Taylor and MacLauren polynomial. Geometric interpretation of the derivative.
- Testing the flow and sketching graphics of the function.
- Undetermined and determined integrals - basic properties and calculation.
- Integral of rational functions and integrals that are reduced to the integral of rational functions.
- Application of a determined integral.
- 2nd colloquium.
- Repetition of the entire material.
Practical instruction (Problem solving sessions/Lab work/Practical training):
- Practical instruction is followed by a lecture program. Getting acquainted with the MATLAB software package in laboratory exercises.
Textbooks and References
- Kovačević I., Savić A., Inženjerska matematika, Viša elektrotehnička škola, Beograd, 2005, ISBN 86-85081-35-1
- I.Kovačević, Z.Mišković, A.Savić, Matematika za inženjere, Visoka škola elektrotehnike i računarstva strukovnih studija, Beograd, prvo izdanje, ISBN 978-86-7982-023-5
Number of active classes (weekly)
Lectures:
3
Practical classes:
3
Other types of classes:
0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
0
activities on practial excersises
20
seminary work
0
colloquium
25
Final exam
Points
Written exam
25
Oral exam
30