Course code:
1002A		 Course name:
Selected Chapters of Mathematics

Academic year:

2012/2013.

Attendance requirements:

There are no requirements.

ECTS:

4

Study level:

basic academic studies

Study programs:

Chemistry: 1. year, summer semester, elective (1IP1H) course

Biochemistry: 1. year, summer semester, elective (1IP1B) course

Chemistry Teacher: 1. year, summer semester, elective (1IP1P) course

Environmental Chemistry: 1. year, summer semester, elective (1IP1S) course

Teacher:

Aleksandar B. Vučić, Ph.D.
associate 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 explain and teach students necessary mathematical knowledge which will help them to better understand other courses.

Outcome:

Acquired necessary mathematical knowledge which will help students to better understand other courses.

Teaching methods:

Lectures, seminar works.

Extracurricular activities:

Seminar works.

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

Additional material:

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  Course activities and grading method

Lectures:

10 points (3 hours a week)

Syllabus:

  1. Linear Algebra - Matrices. Addition, scalar multiplication and matrix multiplication of matrices. Determinants. Inverse matrix. Systems of linear equations. Substitution and Gauss methods. Matrix method for solving equations. Kramers formula.
  2. Analytic Geometry - Vectors. Addition, subtraction and scalar multiplication. Scalar, vector and mixed product of vectors. Equatios of lines, planes and spheres in space.
  3. Functions of Many Variables - Definitios and basic properties. Partial derivatives and differentials. Local, conditional and absolute extremes of the functions with many variables.
  4. Numerical Methods - Newtons polynom. Smallest squares method. Approximate solving of equations.

Semester papers:

20 points

Colloquia:

40 points

Oral exam:

30 points