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| EKO1003 | Mathematics for Social Sciences - I | 3+0+0 | ECTS:5 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of ECONOMICS | | Prerequisites and co-requisites | None | | Mode of Delivery | | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Dr. Öğr. Üyesi Hüseyin ÜNAL | | 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 : | clasify numbers and understand functions and their properties | 2,3 | 1 | | LO - 2 : | know the concepts of limit and continuity of functions | 2,3 | 1 | | LO - 3 : | know the concepts of derivatives of functions | 2,3 | 1 | | LO - 4 : | apply of the derivative to some finance problems | 2,3 | 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 and their properties, Exponents and radical expressions, Polynomials, Linear and quadratic equations, inequalities, quadratic inequalities, Absolute value, functions, vertical coordinate system, simple graphics, two linear equations with two unknown systems and applications, exponential and logarithmic functions,Limit and continuity, derivatives and differential rules, geometrical interpretation of derivative, derivative of implicit function, high-order derivatives, applications of derivatives, minimum-maximum problems, Applications of Minimum-maximum problem to the economy,Asymptotes and graphic drawings, Uncertainty and L'Hosbital rule |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Real numbers and its properties,Exponents and radical expressions, Polynomials
| | | Week 2 | Linear and quadratic equations | | | Week 3 | Inequalities, quadratic inequalities | | | Week 4 | Absolute value, functions, vertical coordinate system, simple graphics | | | Week 5 | System of linear equations with two unknowns and applications
| | | Week 6 | Exponential and logarithmic functions
| | | Week 7 | Limits and continuity | | | Week 8 | Derivative and differential rules | | | Week 9 | Mid-term exam | | | Week 10 | Geometrical interpretation of derivative, derivative of implicit function | | | Week 11 | high-order derivatives | | | Week 12 | Applications of derivatives, minimum-maximum problems | | | Week 13 | Applications of Minimum-maximum problem to the economy | | | Week 14 | Asymptotes and graphic drawings | | | Week 15 | Uncertainties and L'Hosbital rule | | | Week 16 | End-of-term exam | | | |
| 1 | Keleş, H., 2015, Genel ve Çözümlü Matematik-I-, Trabzon | | | |
| 1 | Hacısalihoğlu, H.H., Gökdal, F.,Balcı M., Temel ve Genel Matematik (Cilt 1-2) | | | 2 | Öztürk, A., Çakır H., 1997, Matematiksel Analize Giriş I -II, Ekin yayınları İstanbul | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 11/2022 | 1,50 | 50 | | End-of-term exam | 16 | 01/2023 | 2,00 | 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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