# 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)
None
Course Language English Elective Courses 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 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.

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