EPOKA UNIVERSITY
FACULTY OF ARCHITECTURE AND ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
COURSE SYLLABUS
2025-2026 ACADEMIC YEAR
COURSE INFORMATIONCourse Title: ADVANCED NUMERICAL METHODS |
| Code | Course Type | Regular Semester | Theory | Practice | Lab | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| CE 442 | A | 2 | 4 | 0 | 0 | 3 | 7.5 |
| Academic staff member responsible for the design of the course syllabus (name, surname, academic title/scientific degree, email address and signature) | Prof.Dr. Ahmet Öztaş aoztas@epoka.edu.al |
| Main Course Lecturer (name, surname, academic title/scientific degree, email address and signature) and Office Hours: | Prof.Dr. Ahmet Öztaş aoztas@epoka.edu.al , Wednesdays 15.00 - 16.30 |
| Second Course Lecturer(s) (name, surname, academic title/scientific degree, email address and signature) and Office Hours: | NA |
| Language: | English |
| Compulsory/Elective: | Compulsory |
| Study program: (the study for which this course is offered) | MSc in Civil Engineering, Profile: Structural Engineering |
| Classroom and Meeting Time: | E312, 17.00 - 20.50 |
| Teaching Assistant(s) and Office Hours: | NA |
| Code of Ethics: |
Code of Ethics of EPOKA University Regulation of EPOKA University "On Student Discipline" |
| Attendance Requirement: | Yes |
| Course Description: | - |
| Course Objectives: | This course aims to improve the students with skills on numerical methods rather than programming only. Several mathematical tools that students will find useful will be covered. |
|
BASIC CONCEPTS OF THE COURSE
|
| 1 | This course is designed for structural, geotechnical, water resources, and transportation engineers, with emphasis on real-world civil engineering problems and computational implementation |
|
COURSE OUTLINE
|
| Week | Topics |
| 1 | Fundamentals of Numerical Computation |
| 2 | Roots of Nonlinear Equations |
| 3 | Systems of Nonlinear Equations |
| 4 | Linear Regression, curve fitting. |
| 5 | Linear Regression for exponential curve fitting models |
| 6 | Finding roots of nonlinear algebraic equations |
| 7 | Finding roots of set of nonlinear algebraic equations by Newton Raphson Method |
| 8 | Numerical Integration Methods (Trapezoidal, Simpson Rules) Numerical Differentiation |
| 9 | Numerical solution of the nonlinear-linear ODE by Runge Kutta Method (1) |
| 10 | Numerical solution of the nonlinear-linear ODE by Runge Kutta Method (2) |
| 11 | Numerical solution of the linear ODE by Newmark Method |
| 12 | Analytical solution of the linear ODE by Laplace transformation |
| 13 | Analytical solution of the linear ODE by Laplace transformation (2) |
| 14 | Analytical solution of set of linear ODE systems by Laplace transformation by state variables |
| Prerequisite(s): | NA |
| Textbook(s): | 1- Numerical Methods for Engineers - Chapra, Steven C., Canale, Raymond P. Seventh edition, McGraw-Hill Education. 2- Numerical Methods in Engineering with MATLAB - Kiusalaas, Jann. Second Edition, Cambridge University Press. |
| Additional Literature: | NA |
| Laboratory Work: | NA |
| Computer Usage: | Yes |
| Others: | No |
|
COURSE LEARNING OUTCOMES
|
| 1 | Applying numerical methods in solving real life problems |
| 2 | Versatility in various programming environments |
| 3 | Practical abilities acquisition in problem solving |
| 4 | Presenting the results of numerical calculations |
|
COURSE CONTRIBUTION TO... PROGRAM COMPETENCIES
(Blank : no contribution, 1: least contribution ... 5: highest contribution) |
| No | Program Competencies | Cont. |
| MSc in Civil Engineering, Profile: Structural Engineering Program | ||
| 1 | an ability to apply knowledge of mathematics, science, and engineering | 5 |
| 2 | an ability to design a system, component, or process to meet desired needs | 3 |
| 3 | an ability to function on multidisciplinary teams | 3 |
| 4 | an ability to identify, formulate, and solve engineering problems | 4 |
| 5 | an understanding of professional and ethical responsibility | 3 |
| 6 | an ability to communicate effectively | 2 |
| 7 | the broad education necessary to understand the impact of engineering solutions in a global and societal context | 3 |
| 8 | a recognition of the need for, and an ability to engage in life long learning | 3 |
| 9 | a knowledge of contemporary issues | 3 |
| 10 | an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice | 4 |
| 11 | skills in project management and recognition of international standards and methodologies | 3 |
|
COURSE EVALUATION METHOD
|
| Method | Quantity | Percentage |
| Homework |
2
|
10
|
| Midterm Exam(s) |
1
|
20
|
| Project |
1
|
20
|
| Lab/Practical Exams(s) |
2
|
10
|
| Final Exam |
1
|
20
|
| 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 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 4 | 64 |
| Mid-terms | 1 | 19.5 | 19.5 |
| Assignments | 1 | 15 | 15 |
| Final examination | 1 | 25 | 25 |
| Other | 0 | 0 | 0 |
|
Total Work Load:
|
187.5 | ||
|
Total Work Load/25(h):
|
7.5 | ||
|
ECTS Credit of the Course:
|
7.5 | ||
|
CONCLUDING REMARKS BY THE COURSE LECTURER
|
|
The course has been completed successfully. |