Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
3MATH213Probability and Statistics3+0+03529.07.2024
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Civil Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course Objective of this course is to cover basic principles of the theory of probability, and its applications. This course aims to give the basic principles and infrastructure of probability theory needed in applications such as signal analysis, analog and digital communications, speech processing and data modeling. A student is expected to solve basic probabilistic problems and systems analytically after taking the course.
Course Content Introduction to probability, permutation, combination, relative frequency concept, axioms of probability, set theory, conditional probability, Bayes theorem, independence, mutually exclusive events, discrete random variables, probability mass and distribution functions, expected value, variance, Bernoulli, Binomial, and Poisson random variables, continuous random variables, their probability density and distribution functions, expected value and variance of continuous random variables, uniform, Gauss (normal), and exponential random variables, density function of a function of a random variable, jointly distributed random variables, density function of functions of independent random variables, introduction to random processes
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator Associate Prof.Dr. Ece Yetkin Çelikel
Name of Lecturers None
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Lecture notes
Course Notes Probability and Statistics for Engineers&Scientists, Walpole, Myers,Myers,Ye, 9th Edition, Pearson.
Introduction to Probability and Statistics for Engineers and Scientists, 4th Edition, Sheldon M. Ross, Academic Press.

Course Category
Mathematics and Basic Sciences %60
Engineering %40

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 13 3 39
Hours for off-the-c.r.stud 14 7 98
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 4,5 141

 
Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Students shall learn the basic techniques and principles of the probability theory
2 be able to theoretically analyze and solve probability problems
3 Students will understand and solve basic probabilistic problems, which are encountered in engineering applications
4 Students will use probability models for some random experiments
5 Students will understand the basic principles of probability calculus.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Introduction to Statistical and Descriptive Statistics
2 Axioms of probability, set theory
3 Conditional probability, Bayes theorem
4 Statistical independency, mutually exclusive events
5 Discrete random variables, their probability mass and distribution functions
6 Expected value of random variables
7 Variance and covariance of random variables
8 Midterm exam
9 Bernoulli, Binomial random variables and their applications
10 Negative binomial, Geometric and Poisson random variables and their applications
11 Introduction to continuous random variables
12 Uniform, exponential random variables, density function of a random variable
13 Gauss (normal) random variables
14 Applications and review

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
All 5
C1 5
C2 5
C3 5
C4 5
C5 5

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant