Mathematics II
Abbreviation: MATEMII Load: 45(L) + 45(E) + 0(LE) + 0(S) + 0(FLE) + 0(PEE)
Lecturers in charge: dr. sc. Tomislav Fratrović
dr. sc. Marijana Greblički
Lecturers: pred. Radomir Lončarević ( Lectures, Exercises )
v. pred. dr. sc. Marijana Greblički ( Exercises )
dr. sc. Jelena Rupčić ( Exercises )
Course description: Matrices. Algebraic operations with matrices. Reduced matrix form and Gauss-Jordan algorithm. Inverse matrix. Solving a system of linear equations. Series of numbers. Function series. Taylor and Fourier series. Functions of multiple variables. Domains and graphs. Partial derivations. Mean value theorem. Tangential plane. Taylor's formula. Local extremes. Conditional extremes. Double and triple integrals and applications. Double integral in rectangular coordinates and in polar coordinates. Differential equations. First order differential equations. Linear differential equations of the nth order. Linear nth order linear differential equations with constant coefficients.
Lecture languages: - - -
Compulsory literature:
1. Ivanković, B.; Fratrović, T.; Rupčić, D.; Rupčić J.: Matematika 2, odabrana poglavlja za primjenu u prometu, Fakultet prometnih znanosti, Zagreb, 2015.
Recommended literature:
2. Demidovič, B.P.: Zadaci i riješeni primjeri iz više matematike s primjenama na tehničke nauke, Tehnička knjiga, Zagreb, 1978.
3. Stewart, J.: Calculus Concepts and Contents, Brooks/Cole, 2001.
Legend
L - Lectures
E - Exercises
LE - Laboratory exercises
S - Seminar
FLE - Practical foreign language exercises
PEE - Physical education excercises
* - Not graded