Information Package & Course Catalogue
| 1 | Course Title: | ENGINEERING MATHEMATICS |
| 2 | Course Code: | INS2002 |
| 3 | Type of Course: | Compulsory |
| 4 | Level of Course: | First Cycle |
| 5 | Year of Study: | 2 |
| 6 | Semester: | 4 |
| 7 | ECTS Credits Allocated: | 6 |
| 8 | Theoretical (hour/week): | 4 |
| 9 | Practice (hour/week) : | 0 |
| 10 | Laboratory (hour/week) : | 0 |
| 11 | Prerequisites: | None |
| 12 | Recommended optional programme components: | None |
| 13 | Language: | Turkish |
| 14 | Mode of Delivery: | Face to face |
| 15 | Course Coordinator: | Prof. Dr. BABÜR DELİKTAŞ |
| 16 | Course Lecturers: | |
| 17 | Contactinformation of the Course Coordinator: |
bdeliktas@uludag.edu.tr 224 2900744 Uludağ Univ. Müh.Mim Fak. İnşaat Müh. Böl. Görükle, Bursa |
| 18 | Website: | |
| 19 | Objective of the Course: | to provide basic concepts of linear algebra and its application to engineering problems |
| 20 | Contribution of the Course to Professional Development |
| 21 | Learning Outcomes: |
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| 22 | Course Content: |
| Week | Theoretical | Practical |
| 1 | Matrices; Matrix Operations, Properties of Matrix Operations, Special Types of Matrices | |
| 2 | Solving Linear Systems; Elementary Row and Column Operations; (reduced) Row Echelon Form of a Matrix; Gauss Elimination and Gauss-Jordan Method | |
| 3 | Homogeneous Systems. | |
| 4 | Elementary Matrices and Finding the Inverse of a Matrix by Using Elementary Operations Determinants; Definition and Properties of Determinants | |
| 5 | Cofactor Expansion; Finding Inverses by Using Cofactors | |
| 6 | Cramer’s Rule. Rank of a Matrix | |
| 7 | Vector Spaces: Definition; Subspaces | |
| 8 | Span and Linear Independence | |
| 9 | Basis and Dimensions | |
| 10 | Eigenvalues and Eigenvectors of a Square Matrix | |
| 11 | Diagonalization and the Cayley–Hamilton Theorem | |
| 12 | Linear Transformation | |
| 13 | Review of Basic Concepts | |
| 14 |
| 23 | Textbooks, References and/or Other Materials: | B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 |
| 24 | Assesment |
| TERM LEARNING ACTIVITIES | NUMBER | PERCENT |
| Midterm Exam | 1 | 35 |
| Quiz | 0 | 0 |
| Homeworks, Performances | 8 | 15 |
| Final Exam | 1 | 50 |
| Total | 10 | 100 |
| Contribution of Term (Year) Learning Activities to Success Grade | 50 | |
| Contribution of Final Exam to Success Grade | 50 | |
| Total | 100 | |
| Measurement and Evaluation Techniques Used in the Course | ||
| Information | ||
| 25 | ECTS / WORK LOAD TABLE |
| Activites | NUMBER | TIME [Hour] | Total WorkLoad [Hour] |
| Theoretical | 14 | 4 | 56 |
| Practicals/Labs | 0 | 0 | 0 |
| Self Study and Preparation | 14 | 5 | 70 |
| Homeworks, Performances | 8 | 6 | 48 |
| Projects | 0 | 0 | 0 |
| Field Studies | 0 | 0 | 0 |
| Midtermexams | 1 | 4 | 4 |
| Others | 0 | 0 | 0 |
| Final Exams | 1 | 3 | 3 |
| Total WorkLoad | 181 | ||
| Total workload/ 30 hr | 6,03 | ||
| ECTS Credit of the Course | 6 |
| 26 | CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
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| LO: Learning Objectives | PQ: Program Qualifications |
| Contribution Level: | 1 Very Low | 2 Low | 3 Medium | 4 High | 5 Very High |