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| MAT1012 | General Mathematics-II- | 3+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of FOREST ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Doç. Dr. Filiz OCAK | | Co-Lecturer | Öğr. Gör.Dr. Süleyman UZUN | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of this course is to teach basic math techniques. To introduce the math skills necessary to analyze the problems in engineering. Emphasis is placed on the practical usability of mathematics with numerous sample problems. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | integral and apply the integration to some engineering problems and to some applications | 1,2 | 1, | | LO - 2 : | Analize convergence of sequences and series. | 1,2 | 1, | | LO - 3 : | Know the concepts of matrix and determinant and solve the systems of equations | 1,2 | 1, | | 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 | | |
| Indefinite integrals, methods of integral calculations (substitution rule, methods of integration by parts, methods of Partial fractions), Riemann sum, definite integral and properties of the definite integral, Applications of definite integral: calculation of area and volume, Sequences, Infinite series, geometric series, sequence of partial sums, Converges tests for positive term series( ratio test, root tests and p-test), Matrices, Determinants, Systems of lineer equations, Solutions of Systems of lineer equations by reduction to echelon form, Crammer rule
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Indefinite integrals | | | Week 2 | substitution rule | | | Week 3 | methods of integration by parts | | | Week 4 | methods of Partial fractions | | | Week 5 | Riemann sum, definite integral and properties of the definite integral | | | Week 6 | Applications of definite integral (calculation of area) | | | Week 7 | Applications of definite integral (calculation of volume) | | | Week 8 | Sequences | | | Week 9 |
Mid-term exam | | | Week 10 | Infinite series, sequence of partial sums, geometric series | | | Week 11 | Converges tests for positive term series( ratio test, root tests and p-test) | | | Week 12 | Matrices | | | Week 13 |
Determinants, Systems of lineer equations | | | Week 14 | Solutions of Systems of lineer equations by reduction to echelon form | | | Week 15 | Crammer rule, general review | | | Week 16 |
End-of-term exam | | | |
| 1 | Thomas, G.B., Weir, M.D., Hass, J., Thomas' Calculus 1, 12th Edition, 2009, Pearson, USA. | | | 2 | Balcı, M. 2009. Genel Matematik 1, Balcı Yayınları, Ankara | | | |
| 1 | Kolman, B., Hill, D.L. (Çev Edit: Akın, Ö.) 2002. Uygulamalı lineer cebir. Palme Yayıncılık, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 19/04/2022 | 1 | 50 | | End-of-term exam | 16 | 07/06/2022 | 1 | 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 | 10 | 50 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 9 | 1 | 9 | | Arasınav | 1 | 1 | 1 | | 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 | 10 | 1 | 10 | | Dönem sonu sınavı | 1.5 | 1 | 1.5 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 113.5 |
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