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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 | Doç. Dr. Meltem SERTBAŞ | | Co-Lecturer | All staff of department | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | This course aims to teach the basic mathematical techniques, introducing mathematical skills to analyze problems. With many examples of math emphasis is on the practical usability. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | Learning basic mathematical techniques | 1,5,7,13 | 1 | | LO - 2 : | To gain basic mathematical skills | 1,5,7,13 | 1 | | LO - 3 : | Applying the acquired mathematics skills to professional problems | 1,5,7,13 | 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, exponent and roots, absolute value, inequalities,analitical examination of a line, functions of one variable,function types and basic graphics,limits and contunity,derivation and geometric meaning of derivation,,general derivative rules, the derivative of invers and composite functions,higher order derivatives, increasing and decreasing functions, convexivity, maximum and minimum problems,asymptotes and graphs,indefinite integrals and basic integral rules, Change of Variable Method, Partial Integration, Separation Of Simple Fractions,definite integrals, application of definite integral on area,,matrix and matrix operations, determinants and properties,solution of linear equations systems,two variable functions,limit and continuity ,partial derivatives.
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real Numbers, exponent and roots, absolute value, inequalities | | | Week 2 | Analitical examination of a line, Functions | | | Week 3 | Function types and basic graphics | | | Week 4 | Limit and continuity | | | Week 5 | Derivation and geometric meaning of derivation,,general derivative rules, the derivative of invers and composite functions | | | Week 6 | Higher order derivatives, increasing and decreasing functions, convexivity, maximum and minimum problems | | | Week 7 | Asymptotes and graphs | | | Week 8 | Indefinite integrals and basic integral rules, Change of Variable Method | | | Week 9 | Mid-term exam | | | Week 10 | Partial Integration, Separation Of Simple Fractions | | | Week 11 | Definite integrals, application of definite integral on area, | | | Week 12 | Matrix and matrix operations, Determinants and properties | | | Week 13 | Solution of linear equations systems
| | | Week 14 | Two variable functions,limit and continuity | | | Week 15 | Partial derivatives | | | Week 16 | Final exam | | | |
| 1 | Keleş, H., 2015, Genel ve Çözümlü Matematik-I-, Trabzon. | | | 2 | Keleş, H. 2015; Lineer Cebire Giriş-I-, Bordo, Akademi. | | | 3 | Balcı,M.2009.Genel matematik 1,Balcı Yayınları,Ankara. | | | 4 | 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 | 14/11/2016 | 2 | 50 | | End-of-term exam | 16 | 10/01/2017 | 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 | 2 | 14 | 28 | | Sınıf dışı çalışma | 4 | 14 | 56 | | Arasınav için hazırlık | 8 | 1 | 8 | | Arasınav | 2 | 1 | 2 | | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 106 |
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