ECTSAdvanced Mathematical Methods in Civil Engineering

Advanced Mathematical Methods in Civil Engineering (CE566) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Advanced Mathematical Methods in Civil Engineering CE566 Elective Courses 3 0 0 3 5
Pre-requisite Course(s)
Course Language English
Course Type Elective Courses
Course Level Natural & Applied Sciences Master's Degree
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Demonstration, Question and Answer, Problem Solving.
Course Coordinator
Course Lecturer(s)
  • Prof. Dr. Tolga AKIŞ
Course Assistants
Course Objectives The objective of this course is to provide an understanding of analytical and numerical methods widely used in the field of civil engineering.
Course Learning Outcomes The students who succeeded in this course;
  • The students will learn the mathematical problems and solution methods in the field of civil engineering.
  • The students will be able to use analytical and numerical methods for the solution of various engineering problems.
Course Content First-, second- and higher-order linear ordinary differential equations, system of differential equations, power series solution of differential equations, Laplace transforms, partial differential equations, numerical integration and derivation, numerical solution of differential equations.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Mathematical preliminaries in engineering mathematics
2 First, second and Higher order linear ordinary differential equations
3 First, second and Higher order linear ordinary differential equations
4 System of differential equations
5 Series solution of differential equations
6 Laplace transforms
7 Partial differential equations
8 Partial differential equations
9 Introduction to numerical methods
10 Numerical integration and derivation
11 Numerical integration and derivation
12 Numerical methods in linear algebra
13 Numerical methods in linear algebra
14 Numerical solution of differential equations
15 Final Exam Period
16 Final Exam Period


Other Sources 1. Advanced Engineering Mathematics, Erwin Kreyzig, John Wiley and Sons, 10th edition, 2011.
2. Advanced Engineering Mathematics, Peter O’Neil, Wardsworth, 7th edition, 2011.
3. Advanced Engineering Mathematics, Michael D. Greenberg,Prentice Hall, 2nd edition, 1998.

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 4 5
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 45
Toplam 7 100
Percentage of Semester Work 55
Percentage of Final Work 45
Total 100

Course Category

Core Courses
Major Area Courses X
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Having accumulated knowledge on mathematics, science and engineering and an ability to apply these knowledge to solve Civil engineering problems.
2 Ability to design Civil Engineering systems fulfilling sustainability in environment and manufacturability and economic constraints
3 An ability to differentiate, identify, formulate, and solve complex engineering problems; an ability to select and implement proper analysis, modeling and implementation techniques for the identified engineering problems.
4 An ability to develop a solution based approach and a model for an engineering problem and design and manage an experiment
5 Ability to use modern engineering tools, techniques and facilities in design and other engineering applications
6 Ability to carry out independent research in the field and to report the results of the research effectively and be able to present the research results at scientific meetings.
7 Sufficient oral and written English knowledge to follow scientific conferences in the field and communicate with colleagues.
8 Ability to effectively use knowledge in the field to work in disciplinary/multidisciplinary teams and the skill to lead these teams
9 Consciousness on the necessity of improvement and sustainability as a result of life-long learning,ability for continuous renovation and monitoring the developments on science and technology and awareness on entrepreneurship and innovation
10 Professional and ethical responsibility to gather and interpret data, apply and announce solutions to Civil Engineering problems.
11 An ability to investigate, improve social connections and their conducting norms with a critical view and act to change them when necessary.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Special Course Internship
Field Work
Study Hours Out of Class 16 2 32
Presentation/Seminar Prepration
Homework Assignments 4 4 16
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 8 16
Prepration of Final Exams/Final Jury 1 13 13
Total Workload 125