EPOKA UNIVERSITY
FACULTY OF ARCHITECTURE AND ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
COURSE SYLLABUS
2022-2023 ACADEMIC YEAR
COURSE INFORMATIONCourse 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 |
| Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours: | Assoc.Prof.Dr. Mirjam Ndini mndini@epoka.edu.al , 8:30-17:30 |
| Second Course 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 |
| Study program: (the study for which this course is offered) | Bachelor in Civil Engineering (3 years) |
| Classroom and Meeting Time: | Wednesday: 13:45-14:30 14:45-15:30. Thursday:11:45-12:30 12:45-13:30 13:45-14:30 14:45-15:30 |
| Code of Ethics: |
Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline" |
| Attendance Requirement: | |
| 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. |
|
BASIC CONCEPTS OF THE COURSE
|
| 1 | Statistics and its role in engineering |
| 2 | Basic concepts of probability; |
| 3 | Random and discrete variables; |
| 4 | discrete and continuous probability distributions; |
| 5 | functions of random variables; estimation theory; tests of hypotheses. |
|
COURSE OUTLINE
|
| Week | Topics |
| 1 | Introduction to Statistics. The population and sample |
| 2 | Frequency distribution- describing data with tables and graphs |
| 3 | Describing data with numerical measures |
| 4 | Probability and probability Distribution ; conditional probability and the multiplication rule Rule Events |
| 5 | Discrete Random Variables and Their Probability Distributions |
| 6 | Mathematical Expectation. Mean, Variance of RV. |
| 7 | SEVERAL USEFUL DISCRETE DISTRIBUTIONS |
| 8 | Midterm exam. |
| 9 | Some discrete probability distributions. continue |
| 10 | Probability Distribution for Continuous Random Variables. The normal probability distribution |
| 11 | Sampling Distribution . Statistics and Sampling Distributions. The Central limit Theorem |
| 12 | One and two sample tests of hypotheses. Hypothesis testing. |
| 13 | Simple linear regression and correlation |
| 14 | Review. |
| Prerequisite(s): | Calculus I, II |
| Textbook(s): | 1. Introduction to Probability and Statistics. William Mendenhall, III Robert J. Beaver University of California, Riverside, Emeritus Barbara M. Beaver University of California, Riverside, Emeritus 2. Probability & Statistics for Engineers & Scientists N I N T H E D I T I O N Ronald E. Walpole- Roanoke College; Raymond H. Myers- Virginia Tech; Sharon L. Myers-Radford University; Keying Ye -University of Texas at San Antonio http://fac.ksu.edu.sa/sites/default/files/probability_and_statistics_for_engineers_and_scient isst.pdf |
| Additional Literature: | |
| Laboratory Work: | |
| Computer Usage: | excel |
| Others: | No |
|
COURSE LEARNING OUTCOMES
|
| 1 | Student should be able to organize and manipulate data, derive statistical distribution, and have the ability to translate to information. Have knowledge of statistics |
| 2 | Use statistical concepts such as means, variances and various types of graphs to analyze datasets using computational software |
| 3 | Problem solve ability with theoretical and statistical techniques. |
| 4 | The students will understand probability density and distribution functions.•Understand basic concepts in probability including combinatorics, independence, conditional probability and Bayes’ rule |
| 5 | Solve basic problems arising in engineering that involve discrete and continuous probability distributions. The students will understand central tendency and variability. |
| 6 | The students will be able to understand confidence intervals and perform statistical inference such as hypothesis testing and regression. |
| 7 | The students will be able to carry out error analysis |
|
COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES
(Blank : no contribution, 1: least contribution ... 5: highest contribution) |
| No | Program Competencies | Cont. |
| Bachelor in Civil Engineering (3 years) Program | ||
| 1 | an ability to apply knowledge of mathematics, science, and engineering | |
| 2 | an ability to design a system, component, or process to meet desired needs | |
| 3 | an ability to function on multidisciplinary teams | |
| 4 | an ability to identify, formulate, and solve engineering problems | |
| 5 | an understanding of professional and ethical responsibility | |
| 6 | an ability to communicate effectively | |
| 7 | the broad education necessary to understand the impact of engineering solutions in a global and societal context | |
| 8 | a recognition of the need for, and an ability to engage in life long learning | |
| 9 | a knowledge of contemporary issues | |
| 10 | an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | |
| 11 | skills in project management and recognition of international standards and methodologies | |
|
COURSE EVALUATION METHOD
|
| Method | Quantity | Percentage |
| Homework |
4
|
5
|
| Midterm Exam(s) |
1
|
30
|
| Quiz |
2
|
10
|
| Final Exam |
1
|
30
|
| 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 | ||
|
CONCLUDING REMARKS BY THE COURSE LECTURER
|
|
Course communication: Discussion during classes. Office hours at A-029. E-mail for questions regarding course: mndini@epoka.edu.al (Ensure that MTH 205 is in the subject line. Failure to do so may result in a non-response.) All members of the class are expected to follow rules of common courtesy in all classroom discussions, email messages, threaded discussion and chats. |