Department of Fundamental Education in Science and Technology

https://www.univ-soukahras.dz/en/dept/st

Lecturer	Omrane AMIRI
Information	Bachelor - Second Year : Chemical engineering Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/2380 Semester : S3 Unit : UEM 2.1 Credit : 4 Coefficient: 2
Content	Content of the subject: Part A: Statistics Chapter 1: Basic definitions (1 week) A.1.1 Concepts of population, sample, variables, modalities. A.1.2 Different types of statistical variables: qualitative, quantitative, discrete, continuous. Chapter 2: Univariate statistical series (3 weeks) A.2.1 Number, Frequency, Percentage. A.2.2 Cumulative number, Cumulative frequency. A.2.3 Graphical representations: bar chart, pie chart, bar graph. Polygon of numbers (and frequencies). Histogram. Cumulative curves. A.2.4 Positional characteristics A.2.5 Characteristics of dispersion: range, variance and standard deviation, coefficient of variation. A.2.6 Shape Characteristics. Chapter 3: Bivariate Statistical Series (3 weeks) A.3.1 Data tables (contingency table). Scatterplots. A.3.2 Marginal and Conditional Distributions. Covariance. A.3.3 Linear correlation coefficient. Regression line and Mayer line. A.3.4 Regression curves, regression corridor and correlation ratio. A.3.5 Functional fit. Part B: Probability Chapter 1: Combinatorial Analysis (1 Week) B.1.1 Arrangements B.1.2 Combinations B.1.3 Permutations. Chapter 2: Introduction to Probability (2 weeks) B.2.1 Event Algebra B.2.2 Definitions B.2.3 Probabilised spaces B.2.4 General Probability Theorems Chapter 3: Packaging and independence (1 week) B.3.1 Conditioning, B.3.2 Independence, B.3.3 Bayes\' Formula. Chapter 4: Random Variables (1 Week) B.4.1 Definitions and properties, B.4.2 Distribution Function, B.4.3 Mathematical Expectation, B.4.4 Covariance and moments. Chapter 5: Usual Discrete and Continuous Probability Laws (3 Weeks) Bernoulli, binomial, Poisson, ... ; Uniform, normal, exponential, ...
Evaluation	Continuous assessment: 40%; Final examination: 60%.