APPLIED MATHEMATICS (TURKISH, NON-THESIS)
Master TR-NQF-HE: Level 7 QF-EHEA: Second Cycle EQF-LLL: Level 7

Course Introduction and Application Information

Course Code Course Name Semester Theoretical Practical Credit ECTS
EEE5012 Numerical Methods in Engineering Fall 3 0 3 8
This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction: English
Type of course: Departmental Elective
Course Level:
Mode of Delivery: Face to face
Course Coordinator : Dr. Öğr. Üyesi ZAFER İŞCAN
Course Lecturer(s): Dr. Öğr. Üyesi MUSTAFA EREN YILDIRIM
Recommended Optional Program Components: None
Course Objectives: Teaching numerical methods to engineering students

Learning Outcomes

The students who have succeeded in this course;
1. Understanding the systems of linear algebraic equations.
2. Learning interpolation and curve fitting.
3. Learning roots of equations.
4. Learning numerical differentiation
5. Learning numerical integration
6. Solving numerical problems using software

Course Content

Systems of linear algebraic equations, interpolation and curve fitting, roots of equations, numerical differentiation, numerical integration, solving numerical problems using software

Weekly Detailed Course Contents

Week Subject Related Preparation
1) Introduction to Numerical Methods in Engineering
2) Introduction to programming
3) Systems of Linear Algebraic Equations: Gauss Elimination Method
4) Systems of Linear Algebraic Equations: LU decomposition
5) Systems of Linear Algebraic Equations: Matrix Inverse
6) Interpolation
7) Curve Fitting
8) Roots of Equations
9) Numerical differentiation
10) Numerical Integration
11) Initial Value Problems
12) Boundary Value Problems
13) Symmetric Matrix Eigenvalue Problems
14) Introduction to Optimization

Sources

Course Notes / Textbooks: Jaan Kiusalaas, Numerical Methods in Engineering with Python 3, 3rd Edition
References: 1. Steven C. Chapra, Applied Numerical Methods with MATLAB® for Engineers and Scientists, Fourth Edition.

Evaluation System

Semester Requirements Number of Activities Level of Contribution
Homework Assignments 1 % 20
Presentation 1 % 20
Midterms 1 % 20
Final 1 % 40
Total % 100
PERCENTAGE OF SEMESTER WORK % 60
PERCENTAGE OF FINAL WORK % 40
Total % 100

ECTS / Workload Table

Activities Number of Activities Duration (Hours) Workload
Course Hours 14 3 42
Study Hours Out of Class 14 7 98
Presentations / Seminar 1 30 30
Homework Assignments 1 30 30
Midterms 1 1 1
Final 1 1 1
Total Workload 202

Contribution of Learning Outcomes to Programme Outcomes

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Ability to assimilate mathematic related concepts and associate these concepts with each other.
2) Ability to gain qualifications based on basic mathematical skills, problem solving, reasoning, association and generalization.
3) Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques.
4) Ability to make individual and team work on issues related to working and social life.
5) Ability to transfer ideas and suggestions, related to topics about his/her field of interest, written and verball.
6) Ability to use mathematical knowledge in technology.
7) To apply mathematical principles to real world problems.
8) Ability to use the approaches and knowledge of other disciplines in Mathematics.
9) Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary.
10) To apply mathematical principles to real world problems.
11) To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.
12) To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself.