COURSE INFORMATION Course Title: PROBABILITY AND STATISTICS FOR ENGINEERS

Code	Course Type	Regular Semester	Theory	Practice	Lab	Credits	ECTS
MTH 205	A	3	2	2	0	3	5

Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature)	NA
Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	Shkëlqim Hajrulla
Second Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours:	NA
Teaching Assistant(s) and Office Hours:	NA
Language:	English
Compulsory/Elective:	Compulsory
Classroom and Meeting Time:
Course Description:	This course provides an elementary introduction to probability and statistics with applications. Descriptive statistics. Sets, events, and probability. Concept and definition of random variables and different functions of random variables. Both univariate and multivariate functions will be discussed. Discrete (binomial distribution, Poisson’s distribution) and continuous distribution functions (normal, lognormal, exponential distribution, gamma distribution), with the focus to commonly used probability distribution functions in civil engineering. Statistical estimation and testing; confidence intervals; and an introduction to linear regression. Statistics of extreme events. Testing of hypothesis. Engineering application.
Course Objectives:	The students will demonstrate an understanding of the ordinary differential equations, will be able to determine their types and apply the appropriate solving techniques. To illustrate several of the many applications of differential equations.

COURSE OUTLINE

Week	Topics
1	Introduction to Statistics and Data Analysis.
2	Probability.
3	Random variables and Probability Distributions
4	Mathematical Expectation.
5	Some discrete probability distributions.
6	Some continuous probability distributions.
7	Some continuous probability distributions.
8	Midterm exam.
9	One and two sample estimation problems
10	One and two sample tests of hypotheses.
11	Hypothesis testing.
12	Simple linear regression and correlation and basics of MRC.
13	Analysis of variance.
14	Review.

Prerequisite(s):	Calculus I, II
Textbook:	“Elementary Differential Equations” (10-th ed.) W. Boyce R. DiPrima
Other References:
Laboratory Work:
Computer Usage:
Others:	No

COURSE LEARNING OUTCOMES

1	To comprehend and model various topics of probabilistic uncertainty that they will encounter in engineering scenarios
2	Data organization and evaluation.
3	Precaution and arrangement ability from statistical result.
4	Problem solve ability with theoretical and statistical techniques.

COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES (Blank : no contribution, 1: least contribution ... 5: highest contribution)

No	Program Competencies	Cont.
Bachelor in Computer Engineering (3 years) Program
1	Engineering graduates with sufficient theoretical and practical background for a successful profession and with application skills of fundamental scientific knowledge in the engineering practice.	5
2	Engineering graduates with skills and professional background in describing, formulating, modeling and analyzing the engineering problem, with a consideration for appropriate analytical solutions in all necessary situations.	5
3	Engineering graduates with the necessary technical, academic and practical knowledge and application confidence in the design and assessment of machines or mechanical systems or industrial processes with considerations of productivity, feasibility and environmental and social aspects.	5
4	Engineering graduates with the practice of selecting and using appropriate technical and engineering tools in engineering problems, and ability of effective usage of information science technologies.	4
5	Ability of designing and conducting experiments, conduction data acquisition and analysis and making conclusions.	4
6	Ability of identifying the potential resources for information or knowledge regarding a given engineering issue.	4
7	The abilities and performance to participate multi-disciplinary groups together with the effective oral and official communication skills and personal confidence.	4
8	Ability for effective oral and official communication skills in foreign language.	3
9	Engineering graduates with motivation to life-long learning and having known significance of continuous education beyond undergraduate studies for science and technology.	5
10	Engineering graduates with well-structured responsibilities in profession and ethics.	3
11	Engineering graduates who are aware of the importance of safety and healthiness in the project management, workshop environment as well as related legal issues.	2
12	Consciousness for the results and effects of engineering solutions on the society and universe, awareness for the developmental considerations with contemporary problems of humanity.	2

COURSE EVALUATION METHOD

Method	Quantity	Percentage
Homework	2	5
Midterm Exam(s)	1	35
Quiz	2	5
Final Exam	1	45
	Total Percent:	100%

ECTS (ALLOCATED BASED ON STUDENT WORKLOAD)

Activities	Quantity	Duration(Hours)	Total Workload(Hours)
Course Duration (Including the exam week: 16x Total course hours)	16	3	48
Hours for off-the-classroom study (Pre-study, practice)	16	1	16
Mid-terms	1	16	16
Assignments	1	5	5
Final examination	1	25	25
Other	3	5	15
Total Work Load:			125
Total Work Load/25(h):			5
ECTS Credit of the Course:			5