ECTS - Advanced 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 3 0 0 3 5
Pre-requisite Course(s)
None
Course Language English
Course Type N/A
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

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

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 Attains knowledge through wide and in-depth investigations his/her field and surveys, evaluates, interprets, and applies the knowledge thus acquired.
2 Has a critical and comprehensive knowledge of contemporary engineering techniques and methods of application.
3 By using unfamiliar, ambiguous, or incompletely defined data, completes and utilizes the required knowledge by scientific methods; is able to fuse and make use of knowledge from different disciplines.
4 Has the awareness of new and emerging technologies in his/her branch of engineering profession, studies and learns these when needed.
5 Defines and formulates problems in his/her branch of engineering, develops methods of solution, and applies innovative methods of solution.
6 Devises new and/or original ideas and methods; designs complex systems and processes and proposes innovative/alternative solutions for their design.
7 Has the ability to design and conduct theoretical, experimental, and model-based investigations; is able to use judgment to solve complex problems that may be faced in this process.
8 Functions effectively as a member or as a leader in teams that may be interdisciplinary, devises approaches of solving complex situations, can work independently and can assume responsibility.
9 Has the oral and written communication skills in one foreign language at the B2 general level of European Language Portfolio.
10 Can present the progress and the results of his investigations clearly and systematically in national or international contexts both orally and in writing.
11 Knows social, environmental, health, safety, and legal dimensions of engineering applications as well as project management and business practices; and is aware of the limitations and the responsibilities these impose on engineering practices.
12 Commits to social, scientific, and professional ethics during data acquisition, interpretation, and publication as well as in all professional activities.

ECTS/Workload Table

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
Total Workload 125