Course code:
002A2		 Course name:
Selected Chapters of Mathematics

Academic year:

2023/2024.

Attendance requirements:

There are no requirements.

ECTS:

5

Study level:

basic academic studies, integrated basic and graduate academic studies

Study programs:

Chemistry: 1. year, summer semester, elective (E11H2) course

Biochemistry: 1. year, summer semester, elective (E11B2) course

Environmental Chemistry: 1. year, summer semester, elective (E11S2) course

Chemical Education: 1. year, summer semester, elective (E11P2) course

Teacher:

Aleksandar B. Vučić, Ph.D.
assistant professor, Faculty of Mathematics, Studentski trg 16, Beograd

Assistants:

—

Hours of instruction:

Weekly: three hours of lectures (3+0+0)

Goals:

The goal of this course is to help students acquire the knowledge of mathematics they will need in order to understand the content of other courses which they will have during their further studies.

Outcome:

Acquired knowledge of mathematics which enables students to understand the content of other courses they will have during their further studies.

Teaching methods:

Lectures, term papers.

Extracurricular activities:

Term papers.

Coursebooks:
  • D. Adnađević, A. Vučić: Mathematics 1, for Chemistry students
  • D. Adnađević, A. Vučić: Mathematics 2, for Chemistry students

Additional material:

—

  Course activities and grading method

Lectures:

10 points (3 hours a week)

Syllabus:

  1. Linear algebra - Matrices. Addition, scalar multiplication and multiplication of matrices. Determinants. Inverse matrix. Linear equation systems. Substitution method and Gauss’ method. Matrix method for solving systems of equations. Cramer’s rule.
  2. Analytic geometry - Vectors. Addition, subtraction and scalar multiplication. Scalar, vector and mixed product of vectors. Equations of lines, planes and spheres in space.
  3. Multivariable functions - Definition and basic properties. Partial derivatives and differentials. Local, conditional and absolute extremes of multivariable functions.
  4. Numerical methods - Newton's interpolation polynomial. The method of least squares. Approximate solution of equations.

Semester papers:

20 points

Colloquia:

40 points

Oral exam:

30 points