DZM3 - Mathematical processing of experimental data

Course specification
Course titleMathematical processing of experimental data
Study programme
Lecturer (for classes)
Lecturer/Associate (for practice)
    Lecturer/Associate (for OTC)
      ConditionCredits from courses equivalent to Mathematics I and Mathematics IIОблик условљености
      The goalThe goal of this course is to teach students basic concepts and theoroms from the following areas: Probability Theory, Mathematical Statistics and Methods of Deriving Empirical Formulae.
      The outcomeThis course provides knowledge that can be applied to other natural science and technical-technological courses taught in the department. The course is intended to enable students to successfully apply the acquired mathematical knowledge in solving techical and technological problems, as well as in mathematical processing of experimental data. ;
      Contents of lecturesProbability – definition, characteristics, total probability theorem, Bayes’ theorem, random variable, the most important discrete and continuous probability distributions, multidimensional random variables, the most important multidimensional distributions, numerical characteristics of distributions, numerical characteristics of multidimensional distributions, law of large numbers and central limit theorem of the calculus of probabilities; Statistics – random sample, examples of the most important statistics, tabular and graphical representation of statistical data, point estimation of distribution parameters, methods of obtaining point estimations , confidence intervals for parameters of normal distribution , parametric hypothesis testing, non-parametric tests, regression (linear, non-linear, multidimensional). Solving examples and tasks that illustrate various concepts presented in the theoretical contens as well as their mutual relations. Moreover, the practical examples give an opportunity to exercise applying acquired theoretical knowledge to problems of natural and technical-technological sciences.
      Contents of exercises
      1. Tom M. Apostol, Calculus, volume II, Blaisdell Publishing Company, 1964
      2. Bertsekas, Tsitsiklis, Introduction to Probability , MIT lecture notes, 2000
      3. Hogg, Craig, Introduction to Mathematical Statistics, Macmillan, 1978
      4. Bertsekas, Tsitsiklis, Introduction to Probability , MIT lecture notes, 2000 (Original title)
      5. Hogg, Craig, Introduction to Mathematical Statistics, Macmillan, 1978 (Original title)
      Number of hours per week during the semester/trimester/year
      LecturesExercisesOTCStudy and ResearchOther classes
      Methods of teachingLectures
      Knowledge score (maximum points 100)
      Pre obligationsPointsFinal examPoints
      Activites during lecturesTest paper60
      Practical lessonsOral examination