1. komponenta

Lecture type	Total
Lectures	45
Seminar	30

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE OBJECTIVE:
Introduction to statistics, probability and numerical methods, and suitable programming tools.

COURSE IMPLEMENTATION PROGRAM:
1. Descriptive statistics
2. Probability, conditional probability, independent events
3. Random variables (discrete and continuous). Expected value and variance
4. Binomial and Poisson distribution
5. Exponential and normal distribution
6. Parameter estimation. Confidence interval
7. Tests of hypotheses, t-test, F-test
8. Least squares method. Correlation coefficient
9. Interpolation and approximation
10. Lagrange and Newton interpolation polynomial, cubic spline
11. Numerical methods for nonlinear equations
12. Numerical methods for systems of equations
13. Optimization (optional)
14. Numerical methods for ordinary differential equations
15. Numerical methods for partial differential equations (optional)

DEVELOPMENT OF GENERAL AND SPECIFIC SKILLS BY STUDENTS:
Students should know the basic techniques of descriptive statistics, statistical estimation, probability calculation, numerical methods for solving equations and systems of equations, approximation, optimization and differential equations. Moreover, students should be able to use Excel.

STUDENTS OBLIGATIONS:
Class participation, solving given problems.

PREREQUISITES FOR COURSE ENROLLMENT.
- Mathematics 1

PREREQUISITES FOR ATTENDING THE COURSE EXAM:
Active class participation.

TEACHING METHODS
Lectures, computer demonstrations.

EXAMINATION METHODS
Two midterms exams or a final exam. Excel exam.

METHODS FOR MONITORING THE COURSE QUALITY
Student Survey

1. to apply descriptive statistics to data analysis
2. to sketch the axioms of probability
3. to apply the knowledge of discrete and continuous random variables
4. to apply the estimation and testing techniques when making decisions about the population based on a sample
5. to be able to use Excel procedures
6. to describe the phenomena in the field of chemical engineering using vocabulary and apparatus of the fundamental sciences - mathematics, physics and chemistry
7. to select appropriate methods of analysis, modelling, simulation and optimization

1. Osnove statistike i teorije vjerojatnosti za inženjere, Skripta, I. Gusić, http://matematika.fkit.hr,
2. Osnove numeričke matematike, Skripta, I. Gusić, http://matematika.fkit.hr,
3. Primjeri kolokvija i pismenih ispita, Zadatci za vježbu, http://matematika.fkit.hr, http://matematika.fkit.hr,
4. Uvod u statistiku, Ž. Pauše, Školska knjiga, 1993.
5. Probability and Statistics for Engineering and the Sciences, 9th Edition, J. Devore, Cengage Learning, 2015.

Enrollment :
Enrolled : Calculus I

Mandatory course - Regular studij - Chemical Engineering