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| MAT1007 | General Mathematics | 4+0+0 | ECTS:5 | | Year / Semester | Fall 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 - 4 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Dünya KARAPINAR | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | The aim of the course is to teach the basic mathematical techniques, introducing at the same time a number of mathematical skills which can be used for the analysis of problems. The emphasis is on the practical usability of mathematics; this goal is mainly pursued via a large variety of examples and applications from these disciplines. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | The student will be able to teach the basic mathematical techniques | 1 | 1, | | LO - 2 : | The student will be able to gain the basic mathematical skills | 1 | 1, | | LO - 3 : | The student will be able to apply the basic mathematical skills to the vocational problems | 1 | 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 | | |
| Real Numbers, Exponential and Root Expressions, Absolute Value, Simple Inequalities, Concept of Function, Definition Sets and Graphs of Basic Functions, Shifting Graphs of Basic Functions, Trigonometric Functions, Exponential and Logarithmic Functions, Limit, Continuity, Derivative Definition, Derivation Rules, Trigonometric Definition , Exponential and Logarithmic Function Derivatives, Higher Order Derivatives, Chain Rule, Implicit Function Derivative, Geometric Interpretation of Derivative, Maximum and Minimum, Application of Derivative to Limits (L'Hospital Rule), Asymptotics of Functions, Drawing of Graphs of Variations of Functions. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real Numbers, Exponential and Root Expressions, Absolute Value, Simple Inequalities | | | Week 2 | Concept of Function, Definition Sets and Graphs of Basic Functions | | | Week 3 | Shifting Graphs of Basic Functions, Trigonometric Functions | | | Week 4 | Trigonometric Functions, Exponential and Logarithmic Functions | | | Week 5 | Limit | | | Week 6 | Continuity | | | Week 7 | Derivative Definition, Derivation Rules | | | Week 8 | Trigonometric Definition, Exponential and Logarithmic Function Derivatives | | | Week 9 | Mid-term exam
| | | Week 10 | Higher Order Derivatives, Chain Rule, Implicit Function Derivative, | | | Week 11 | Geometric Interpretation of Derivative, Maximum and Minimum | | | Week 12 | Maximum and Minimum | | | Week 13 | Application of Derivative to Limits (L'Hospital Rule) | | | Week 14 | Asymptotics of Functions, Drawing of Graphs of Variations of Functions
| | | Week 15 | Drawing of Graphs of Variations of Functions | | | Week 16 | End-of-term exam | | | |
| 1 | Thomas, G. B., Finney, R. L.(Çev:Korkmaz, R.), 2001. Calculus ve Analitik Geometri, Cilt I, Beta Yayınları, İstanbul. | | | |
| 1 | Balcı, M., 2009. Genel matematik 1,Balcı Yayınları, Ankara. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 18/11/2024 | 1 | 50 | | End-of-term exam | 16 | 13/01/2025 | 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 | 4 | 14 | 56 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Laboratuar çalışması | 0 | 0 | 0 | | Arasınav için hazırlık | 9 | 1 | 9 | | 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 | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Diğer 1 | 0 | 0 | 0 | | Diğer 2 | 0 | 0 | 0 | | Total work load | | | 149 |
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