Mathematics II

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Mathematics II

Code: 36212
ECTS: 4.0
Lecturers in charge: prof. dr. sc. Dijana Ilišević - Lectures
Lecturers: prof. dr. sc. Dijana Ilišević - Exercises
Take exam: Studomat
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1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
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 I
2. semester
Mandatory course - Mandatory studij - Geology
Consultations schedule: