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### Mathematics 2

 Code: 37633 ECTS: 4.0 Lecturers in charge: prof. dr. sc. Dijana Ilišević - Lectures Lecturers: prof. dr. sc. Dijana Ilišević - Exercises Take exam: Studomat 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.

### 1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
Description:
Sets. Definition of a mathmatical set. Basic operations with sets. Set N. Principles of mathematical induction. Setsi Q, R and C.
Functions. Definition of a function. Injective and surjective functions. Examples of functions.
Sequences. Definition of a sequence. Algebra of sequences. Limit of a sequence. Properties of converging sequences. Monotony. Some important limits.
Series. Definition of a series. Conditions of convergence. Criteria of convergence. Properties of convergent series..
Continuous functions. Definition of continuity. Properties of continous functions. Continuity of elementary functions.
Differential calculus. Definition of derivative. Rulers for differentiation. Fundamentale theorems of differential calculus. Applications.
Integral calculus. Primitive function. Basic properties of indefinitive integral. Methods of integration. Definitive integral. Applications to area and volume calculations.

Learning outcomes:

Describe properties of elementary functions.
Give examples of elementary functions in science.
Give examples of sequences and series.
Apply differential and integral calculus in simple problems.
Literature:
1. E. Mendelson, F. Ayres: Schaum's Outline of Calculus. McGraw-Hill, 2001.
2. P. Javor: Matematička analiza 1, Element, 1999.
Prerequisit for:
Enrollment :
Attended : Mathematics 1
 2. semester Izborni predmeti - Regular study - Environmental Sciences
Consultations schedule: