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Mathematics 3

Study program:
Geophysics (III semester -BsC)
Hidrogeology (III semester -BsC)
Name of subject: Mathematics 3
Instructors:
Prof. Dragan Stankov
Status: Optional
ECTS: 5
Prerequisites: -
Course Objectives:
The aim of the course is to introduce differential and linear equations of higher order, multiple curvature and surface integrals, thus gaining theoretical foundations necessary for understanding professional subjects.
Learning Outcomes:
The result of the course is acquisition of knowledge in mathematics, necessary for further attending and understanding of professional subjects, professional work and research activity.
Content:

Theory teaching
Systems of Differential Equations. The first integral. Systems of linear equations of the first order with constant coefficients. Multiple, curvilinear and surface integrals. Double integrals. Triple integrals. The curvilinear integrals of the first and second types. Surface integral of the first and second types. Series. Numerical series, basic terms and theorems. Laplace transformation. Elements of vector analysis and field theory. Partial differential equations.

Practical teaching
Any subject of the theoretical part of the course will be followed by solving of the selected problems.

Suggested Reading List:
  1. Miličić N., Obradović M., 2003: Elementi više matematike, Akademska misao, Beograd.
  2. Obradović I., 1998: Zbirka rešenih zadataka iz Matematike II, Rudarsko-geološki fakultet u Beogradu.
  3. Miličić N., Obradović M., 2004: Zbirka zadataka iz više matematike, Akademska misao, Beograd.
Conduct of the Course:
Lectures and computational exercises are auditing. Testing is planned.
Fund hours:
Lectures Exercises Other forms of teaching Study research
2 2 0 0
Assessment:
Final Exam ECTS
Written exam20
Oral Exam30

Classwork Assessment ECTS
Class Participationа10
Practical Classes10
Written tests30
Additional Assessment Criteria: -


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