Department of Fundamental Education in Science and Technology

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

Lecturer	Mohamed Benrabia
Information	Bachelor - Second Year : Electronic Department of Fundamental Education in Science and Technology Website : https://www.univ-soukahras.dz/en/module/5033 Semester : S3 Unit : UEM 2.1 Credit : 4 Coefficient: 2
Content	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 Frequency, Percentage. A.2.2 Cumulative frequency. A.2.3 Graphical representations: bar chart, pie chart, stem-and-leaf plot. Frequency polygon (and relative frequency polygon). Histogram. Cumulative curves. A.2.4 Measures of central tendency. A.2.5 Measures of dispersion: range, variance and standard deviation, coefficient of variation. A.2.6 Measures of shape. Chapter 3: Bivariate Statistical Series (3 weeks) A.3.1 Data tables (contingency table). Scatter plot. A.3.2 Marginal and conditional distributions. Covariance. A.3.3 Linear correlation coefficient. Regression line and Mayer\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s line. A.3.4 Regression curves, regression band, and correlation ratio. A.3.5 Functional fitting. 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 Algebra of events B.2.2 Definitions B.2.3 Probabilistic spaces B.2.4 General probability theorems Chapter 3: Conditioning and Independence (1 week) B.3.1 Conditioning B.3.2 Independence B.3.3 Bayes\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' theorem Chapter 4: Random Variables (1 Week) B.4.1 Definitions and Properties B.4.2 Cumulative distribution function B.4.3 Mathematical expectation B.4.4 Covariance and Moments Chapter 5: Usual Discrete and Continuous Probability Distributions (3 Weeks) Bernoulli, binomial, Poisson, ...; Uniform, normal, exponential, ...
Evaluation	Continuous control: 40%; Final exam: 60%.