Energy Systems Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH215 | ||||||||
Course Name: | Mathematics III | ||||||||
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): |
Prof. Dr. HASAN ÖZEKES |
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Course Assistants: |
Course Objectives: | The aim of this course to understand basic concepts of linear algebra ( systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition) and solve problems about it. |
Course Content: | This course will investigate systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Syllabus. Systems of linear equations. Elementary row operations. Gauss-Jordan Elimination | Lecture Notes |
2) | Matrix Algebra | Lecture Notes |
3) | Matrix Algebra | Lecture Notes |
4) | Determinants | Lecture Notes |
5) | Determinants | Lecture Notes |
Course Notes / Textbooks: | Linear Algebra and Its Applications, 5th Edition David C. Lay, Stephan R. Lay, Judi J. McDonald Pearson Education Limited |
References: | Lecture notes - Ders notları |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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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 | |
Reading | |
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 |
Homework Assignments | 5 | % 20 |
Midterms | 2 | % 40 |
Final | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 3 | 45 |
Homework Assignments | 5 | 5 | 25 |
Midterms | 2 | 10 | 20 |
Final | 1 | 15 | 15 |
Total Workload | 165 |