• Mašinstvo i informacione tehnologije, Semester 2, position 3

Course objective: • Numerical and mathematical analysis capabilities for each measurement. • Design and write programs for analyzing measurements. • Comparison analysis of numerical data processing and analysis software. • Implementation of PHP and JAVA Script.

The acquired knowledge allows: • That be entered professional do the measurements and determine the necessary and forward the required size, • That the measurement is so mathematical, numerical and statistical analysis and then to be graphical and logical preparation for further analysis, • That, using PHP or Java Script, or both, make software to perform accurate data processing which is a pre-determined mathematically.

BASIC THEORY OF SAMPLES. Population and simple sample with replacement and without returning. Sampling - the empirical distribution as a possible Code of Conduct of the population. TREATMENT OF STATISTICAL BASIS The concept of statistical meetings. Mean values of statistical assemblage. Dispersion. Models of the distribution. The trend in the study of statistics. Time series in the study of statistics. Statistical indicators in the study. Hypotheses and tests. ARISING FROM PROBABILITY. The mathematical probability of an event. Addition theorem of probability. Multiplication theorem of probability. Permutations, combinations and variations of elements of one set. REPETITORIA numerical methods. Some algebraic problems. Interpolation polynomials. Lagrange interpolation polynomials (Joseph-Louis Lagrange). Newton (Isaac Newton) interpolation polynomials. Numerical integration. Newton-Coates (Isaac Newton - Roger Cotes) formula. Simpson (Thomas Simpson) formula. IMMEDIATE MEASUREMENT ACCURACY Equal and unequal. Determining the value of measured values. Determination of measurement error. Distribution law of random sizes. INDIRECT MEASUREMENT ACCURACY OF EQUAL. Determining the average size of the errors of certain indirect measurement. Determining the size of the average error of certain indirect measurement of the same accuracy. The general case of indirect measurement of the system of equations equal accuracy. INDIRECT MEASUREMENT ACCURACY unequal. Normal equations indirect measurements of unequal accuracy. Control in solving the normal equation of unequal accuracy. CONDITIONAL MEASUREMENTS SIZE. The process of measuring the conditional correlations. The process of reducing the indirect measurements. Basic Theory of Correlation. Two-dimensional distribution laws of random sizes.

It consists of auditory, laboratory exercises that accompany the course.

Required: Basic computer culture based on the use of a PC, regardless of operating sistema.Osnovno knowledge of mathematical logic.

Audience is available licensed software owned by the faculty. Listeners freeware software is available.

Total assigned hours: 75

New material: 30
Elaboration and examples (recapitulation): 0

Auditory exercises: 0
Laboratory exercises: 17
Calculation tasks: 0
Seminar paper: 7
Project: 3
Consultations: 0
Discussion/workshop: 3
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 7
Review and grading of the project: 0
Test: 0
Test: 3
Final exam: 5

Activity during lectures: 5
Test/test: 35
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 30
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 35

Č. Mitrovic, S. Radojevic, The Data Exquisite in Mechanical Engineering, a textbook (in preparation) Faculty of Mechanical Engineering, Belgrade, 2022.