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| COM2008 | Engineering Mathematics | 3+0+0 | ECTS:6 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of COMPUTER ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Prof. Dr. Murat EKİNCİ | | Co-Lecturer | PROF. DR. Murat EKİNCİ, | | Language of instruction | | | Professional practise ( internship ) | None | | | | The aim of the course: | | To achieve the applications and the impelementation of the mathematical knowledge and solutions on the practical engineering problems, research areas in computer engineering. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | apply the mathematics in engineering problems, | 1,3,4,5 | 1 | | LO - 2 : | represent and make a relationship between the physical events can be modelled and mathematical knowledge. | 1,3,4,5 | 1,3 | | LO - 3 : | make a relationship on the multi unknown parameters in real environmental with vectors representation | 1,3,4,5 | 1,3 | | LO - 4 : | have knowledge about the problems can be modelled in time and frequency donmians, | 1,3,4,5 | 1,3 | | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | | |
| Introduction to mathematic application in computer engineering; Complex functions and mapping; Complex differentation and engineering applications; Fourier series, Discrete and Fast Fourier transform and engineering applications; Matrix analysis; Numerical methods in matriz analysis; Determinants and numerical evaluation of a determinant; Basic mathematics in the vector spaces Rn; General vector spaces and rank of a matrix; Computation of Eigenvalues and eigenvectors; Numerical methods for eigenvectors and applications in engineering; Linear transformations; Principal Component Analysis and its application in computer engineering. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction to mathematic application in computer engineering, | | | Week 2 | Fundemantals of Analog-Digital Conversion and Fourier Seies | | | Week 3 | Discrete Fourier Transforms, (1-D and 2-D) | | | Week 4 | Fast Fourier Transforms and it's applications | | | Week 5 | Correlation and Convolution | | | Week 6 | Systems of Linear Equations | | | Week 7 | Matrices | | | Week 8 | Determinants, applications and numerical solutions | | | Week 9 | Midterm Examination | | | Week 10 | The vector space R^n | | | Week 11 | Linear Transformations | | | Week 12 | General vector spaces | | | Week 13 | Computation of Eigenvalues and eigenvectors; | | | Week 14 | Numerical methods for eigenvectors and applications in engineering; | | | Week 15 | Linear programming | | | Week 16 | End-of-term exam | | | |
| 1 | G. James, D. Burley, P. Dyke, J. Searl, N. Steele, J. Wright; 1993; Advanced Modern Engineering Mathematics, Addison-Wesley. | | | 2 | Gareth Williams, 2001; Linear Algebra with Applications, Jones and Bartlett Publishers | | | |
| 1 | Emmanuel C. Ifeachor, Barrie W. Jevis, 2002, Digital Signal Processing, A Practical Approach; Prentice Hall | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 8/04/2013 | 2 | 50 | | End-of-term exam | 16 | 28/05/2013 | 2 | 50 | | |
| Student Work Load and its Distribution | | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | | Yüz yüze eğitim | 3 | 14 | 42 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 10 | 1 | 10 | | Arasınav | 2 | 1 | 2 | | Uygulama | 0 | 0 | 0 | | Klinik Uygulama | 0 | 0 | 0 | | Ödev | 0 | 0 | 0 | | Proje | 0 | 0 | 0 | | Kısa sınav | 0 | 0 | 0 | | Dönem sonu sınavı için hazırlık | 14 | 1 | 14 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 10 | 5 | 50 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 190 |
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