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### Differential and integral calculus 2

 Code: 92897 ECTS: 9.0 Lecturers in charge: prof. dr. sc. Eduard Marušić-Paloka Lecturers: doc. dr. sc. Barbara Bošnjak - Exercises dr. sc. Tvrtko Dorešić - Exercises English level: 1,0,0 All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

### 1. komponenta

Lecture typeTotal
Lectures 60
Exercises 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES:
At the beginning the students are introduced to number series and power series, and later to differential and integral calculus of vector functions of several real variables. The attention is focused on situation where one can see things, i.e. to function from R to R2 and R3, and to real functions of two and three real variables. Again we are not using the epsilon-delta technique, and the emphasis is put on the ideas and not on the quantity and technical trickery.

COURSE DESCRIPTION AND SYLLABUS:
1. Taylor's formula.
2. Series, convergence, absolute convergence.
3. Convergence tests.
4. Power series.
5. Basic notions in Rn.
6. Derivative of vector functions, arc length..
7. Functions of several variables, partial derivatives, gradient. Directional derivative and applications
8. Chain rule and implicit functions. Extrema of functions of several variables.
9. Multiple integrals. Fubini's theorem.
10. Change of variables in double integral. Polar coordinates.
11. Line integrals. Green's theorem.
12. Scalar and vector fields.
13. Divergence. Gauss' theorem
14. Curl. Stokes' theorem
Literature:
Prerequisit for:
Enrollment :
Passed : Differential and integral calculus 1
 3. semester Mandatory course - Regular study - Mathematics Education
Consultations schedule:

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