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
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Lecturers: |
pred. Radomir Lončarević
(
Lectures, Exercises
)
v. pred. dr. sc. Marijana Greblički
(
Exercises
)
dr. sc. Jelena Rupčić
(
Exercises
)
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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.
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Compulsory literature: |
1. |
Ivanković, B.; Fratrović, T.; Rupčić, D.; Rupčić J.: Matematika 2, odabrana poglavlja za primjenu u prometu, Fakultet prometnih
znanosti, Zagreb, 2015.
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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. |
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