# 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 3 0 0 3 5
Pre-requisite Course(s)
None
Course Language English N/A Natural & Applied Sciences Master's Degree Face To Face Lecture, Demonstration, Question and Answer, Problem Solving. Prof. Dr. Tolga AKIŞ The objective of this course is to provide an understanding of analytical and numerical methods widely used in the field of civil engineering. 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. 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

### Sources

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

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 45 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Ability to apply knowledge on Mathematics, Science and Engineering to advanced systems.
2 Implementing long-term research and development studies in major areas of Electrical and Electronics Engineering.
3 Ability to use modern engineering tools, techniques and facilities in design and other engineering applications.
4 Graduating researchers active on innovation and entrepreneurship.
5 Ability to report and present research results effectively.
6 Increasing the performance on accessing information resources and on following recent developments in science and technology.
7 An understanding of professional and ethical responsibility.
8 Increasing the performance on effective communications in both Turkish and English.
9 Increasing the performance on project management.
10 Ability to work successfully at project teams in interdisciplinary fields.

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours) 16 3 48
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 16 2 32
Presentation/Seminar Prepration
Project
Report
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