Courses – Fakultet tehničkih nauka u Novom Sadu

Subject: Mathematics 2 (17.BMI92)

Native organizations units: Department of Fundamentals Sciences

Type of studies	Title
Undergraduate Academic Studies	Biomedical Engineering (Godina: 1, Summer)

General information:

Category	Academic-general educative
Scientific or art field	Teorijska i primenjena matematika
Interdisciplinary	Yes
ECTS	8

Educational goal:

Enabling students to develop abstract thinking and acquire basic knowledge in the field mathematical analysis.

Educational outcome:

Ability to use the acquired knowledge in further education in engineering subjects so as to postulate and solve mathematical models in the field of engineering sciences.

Course content:

Theoretical lectures:Indefinite integral; definite integral and application; improper integral. Ordinary differential equations of first and higher order. Linear differential equations of n-th order. Series, functional sequence and functional series, power series, Fourier series. Double, curved-line integral. Complex analysis: Cauchy theorems and formulas Laurent series, singularities , residues. Fourier series and transformation. Laplace transform and inverse Laplace transform and application. Practice (Exercises): Corresponding examples from theoretical lectures are done in exercises, thus practicing the taught lectures and understanding them better.

Teaching methods:

Lectures; Numerical calculation practice. Consultations.

Literature:

Authors	Title	Year	Publisher	Language
Ralević, N., Čomić, L., Pantović, J.	Zbirka rešenih zadataka iz matematičke analize 2	2010	Fakultet tehničkih nauka, Novi Sad	Serbian language
Buhmiler, S., Duraković, N., Ralević, N.	Zbirka rešenih zadataka iz integralnog računa	2018	Fakultet tehničkih nauka, Novi Sad	Serbian language
Kovačević, I. i dr.	Matematička analiza 1 : diferencijalni i integralni račun, obične diferencijalne jednačine	2011	Fakultet tehničkih nauka, Novi Sad	Serbian language
Stojaković, M.	Matematička analiza 2	2002	Vedes, Beograd	Serbian language
Novković, M., i dr	Zbirka rešenih zadataka iz matematičke analize 1	2011	Fakultet tehničkih nauka, Novi Sad	Serbian language

Knowledge evaluation:

Course activity	Pre-examination	Obligations	Number of points
Test	Yes	Yes	10.00
Test	Yes	Yes	10.00
Lecture attendance	Yes	Yes	5.00
Practical part of the exam - tasks	No	Yes	60.00
Exercise attendance	Yes	Yes	5.00
Oral part of the exam	No	Yes	10.00