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| MAT1019 | General Mathematics | 2+0+0 | ECTS:6 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of LANDSCAPE ARCHITECTURE | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 2 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Seda ÖZTÜRK | | Co-Lecturer | Lecturers | | 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 | 1,2,3,4,5,6,7,8,10,11,12,13 | 1 | | LO - 2 : | The student will be able to gain the basic mathematical skills | 1,3,4,5,7,8,10,11,12,13 | 1 | | LO - 3 : | The student will be able to apply the basic mathematical skills to the vocational problems | 2,3,6,7,8,10,11,12,13 | 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 Power Terms, Absolute Value,Inequality, Analytic Investigation Of Lines,Single Value Functions, Kinds Of Functions And Its Graphs, Limits And Continuous, Derivative And Geometric Meaning Of Derivative, General Derivative Rules, Derivatives Of İnverse And Composition Functions. High Order Derivations, Increasing And Decreasing Functions, Concave And Convex Functions, Problems Of Maximum And Minimum., Asymptotes And Plots Of Graphs, Indefinite Integrals And Elemetary Integral Rules, Method Of Variable Change., Partial Integration, Separation Of Simple Fractions, Definite Integrals, Applications Of Areas Between Curves By Definite İntegral, Matrices And Matrice Operations, Determinants And Properties, Solutions Of Linear Equation Systems, Two Variable Functions, Partial Differentiation. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real numbers, Exponential and Power terms, Absolute value,Inequalities. | | | Week 2 | Analytic Investigation of lines,Functions | | | Week 3 | Kinds of functions and its graphs | | | Week 4 | Limits and Continuous | | | Week 5 | Derivative and geometric meaning of derivative, general derivative rules, derivatives of inverse and composition functions. | | | Week 6 | High order derivations, increasing and decreasing functions, Concave and convex functions,Problems of maximum and minimum. | | | Week 7 | Asymptotes and Plots Of Graphs | | | Week 8 | Mid-term exam | | | Week 9 | Indefinite Integrals and Elemetary integral rules, Method of Variable Change.
| | | Week 10 | Partial Integration, Separation Of Simple Fractions.
| | | Week 11 | Definite Integrals, Applications of Areas Between Curves by definite integral.
| | | Week 12 | Matrices and matrice operations,Determinants and properties.
| | | Week 13 | Solutions of linear equation systems | | | Week 14 | Two variable functions and limit and continuous
| | | Week 15 | Partial differentiation
| | | Week 16 | End-of-term exam | | | |
| 1 | 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 | 8 | 09/11/2015 | 1,5 | 30 | | Quiz | 12 | | 1,5 | 20 | | End-of-term exam | 16 | 29/12/2015 | 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 | 4 | 14 | 56 | | Sınıf dışı çalışma | 5 | 14 | 70 | | Arasınav için hazırlık | 9 | 1 | 9 | | Arasınav | 1.5 | 1 | 1.5 | | Kısa sınav | 1.5 | 1 | 1.5 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 150 |
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