Algebra and Linear Algebra

ID: 7002
Course type: theoretical and methodological
Course coordinator: Pejčev V. Aleksandar
Lecturers: Pejčev V. Aleksandar
Contact: Pejčev V. Aleksandar
Level of studies: B.Sc. (undergraduate) Academic Studies – Information Technologies in Mechanical Engineering
ECTS: 8
Final exam type: written
Department: Department of Mathematics

Lectures

Goal

Introducing students to the basics of mathematical logic, general and linear algebra and mathematical analysis, combinatorics, graph theory, vector spaces, and elements of analytical geometry. Enabling students to effectively apply acquired knowledge to problems encountered in professional subjects.

Outcome

The student will easily identify problems in professional subjects and apply the acquired knowledge, especially for solving systems of linear equations that appear in mathematical modeling of corresponding problems. The student is competent to solve problems in the field of computing with the help of an adequate mathematical model, especially applying combinatorics and analytical geometry.

Theoretical teaching

Mathematical logic, algebraic structures, matrices, determinants, systems of linear equations, combinatorics and graphs, vector spaces, eigenvalues ​​and vectors of matrices, rank of matrices, systems of linear equations, analytical geometry.

Practical teaching

Solving various tasks and problems that accompany the theoretical part of the course. Introducing students to how to identify and solve problems in professional subjects and computer science.

Attendance requirement

Condition of attending the course is defined curriculum program of study.

Resources

Written notes performed with lectures in Mathematics 1 http://147.91.27.133 ili ftp://147.91.27.133

Assigned hours

Total assigned hours: 90

Active teaching (theoretical)

New material: 25
Elaboration and examples (recapitulation): 5

Active teaching (practical)

Auditory exercises: 15
Laboratory exercises: 0
Calculation tasks: 40
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 4
Test: 0
Final exam: 1

Knowledge test (100 points total)

Activity during lectures: 10
Test/test: 60
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

Literature

Djukic D., Pejcev A., Jandrlic D., Mutavdzic R., Tomanovic J., Vucic M., Arandjelovic I., Mathematics 1 (in the process of preparation) ; Васић Б,Иричанин Б,Јовановић М, Малешевић Б,Маџаревић Т,Михаиловић Б,Радосављевић З,Симић С,Цветковић Д: Збирка задатака из Математике 1 -први и други део. Акад.Мисао 2006.; Цветковић Д,Лацковић И,Меркле М,Радосављевић З,Симић С,Васић П, Математика 1-Алгебра,Акад.Мисао 2006