Energy Systems Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH220 | ||||||||
Course Name: | Numerical Methods | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: | |||||||||
Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR |
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Course Assistants: |
Course Objectives: | To provide the student with numerical methods of solving the non-linear equations, interpolation, differentiation, integration and differential equations. To improve the student’s skills in numerical methods by using the numerical analysis software and computer facilities. |
Course Content: | This course is designated to provide the necessary knowledge and skills in analysis of numerical methods to investigate numerical errors, Taylor’s theorem, numerical solutions of linear and nonlinear equations, interpolation and curve fitting methods, numerical differentiation and integration, numerical solutions of differential equations. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | • Introduction to basic concepts in numerical analysis • A brief review of numerical methods and application areas • Mathematical preliminaries, error analysis • Numerical errors • Taylor's theorem | |
2) | Root Finding Methods | Lecture Notes |
3) | Root Finding Methods | Lecture Notes |
4) | Solutions of the systems of linear equations | Lecture Notes |
5) | Solutions of the Systems of Linear Equations | Lecture Notes |
6) | Curve Fitting Methods | Lecture Notes |
7) | Curve Fitting Methods | Lecture Notes |
8) | Curve Fitting Methods | Lecture Notes |
9) | ||
10) | Numerical Differentiation | Lecture Notes |
11) | Numerical Differentiation and Integration | Lecture Notes |
12) | Numerical Integration | Lecture Notes |
13) | Numerical Solutions of the Ordinary Differential Equations | Lecture Notes |
14) | Numerical Solutions of the Ordinary Differential Equations | Lecture Notes |
Course Notes / Textbooks: | Burden and Faires, Numerical Analysis (10th. Ed.) 2015 |
References: | Lecture notes Ders notu |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
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Program Outcomes | ||||||||||
1) Closed Department |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Closed Department |
Lesson | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Homework Assignments | 4 | 6 | 24 |
Midterms | 2 | 10 | 20 |
Final | 1 | 16 | 16 |
Total Workload | 120 |