Mathematics Course code: T13035 | 5 ECTS credits
Basic information
Level of Studies:
Undergraduate applied studies
Year of Study:
1
Semester:
1
Requirements:
Goal:
Introducing new and developing the existing mathematical knowledge, as well as expanding the theoretical and methodological bases required for attending professional courses.
Outcome:
Developing clarity and precision in mathematical communication, perseverance and systematic work. Creating theoretical and methodological bases for attending professional courses.
Contents of the course
Theoretical instruction:
- Mathematical logic
- Sets
- Algrabraic structures
- Number theory. The field of complex numbers
- Matrices and determinants and their applications to systems of equations
- Vectors. Scalar, vector and mixed product of vectors
- Analytical geometry in space. Plane, line and their mutual relations
- Real value function of one variable. Limits
- Derivatives and differential calculus of higher order
- Application of derivatives in investigation of functions
Practical instruction (Problem solving sessions/Lab work/Practical training):
- Mathematical logic
- Sets
- Algrabraic structures
- Number theory. The field of complex numbers
- Matrices and determinants and their applications to systems of equations
- Vectors. Scalar, vector and mixed product of vectors
- Analitical geometry in space. Planes, lines and their mutual relations
- Real value function of one variable. Limits
- Derivatives and differential calculus of higher order
- Application of derivatives in investigation of functions
Textbooks and References
- Zorica Malović, Matematika 1 (zbirka zadataka), Visoka ICT škola, Beograd, 2005
- Đ. Takači, S. Radenović, Matematika 1 za inženjere, Akademska misao, Beograd, 2002
- P. Miličić, Matematika 1, Naučna knjiga, Beograd, 2001
Number of active classes (weekly)
Lectures:
3
Practical classes:
2
Other types of classes:
0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
5
activities on practial excersises
0
seminary work
0
colloquium
35
Final exam
Points
Written exam
60
Oral exam
0