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| EKO1002 | Mathematics for Social Science - II | 3+0+0 | ECTS:5 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of BUSINESS | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face | | Contact Hours | 14 weeks - 3 hours of lectures per week | | Lecturer | Öğr. Gör. Hasan KELEŞ | | Co-Lecturer | LECTURER Hasan KELEŞ, | | 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 : | teach the basic mathematical techniques | 1 | 1, | | LO - 2 : | gain the basic mathematical skills | 1 | 1, | | LO - 3 : | apply the basic mathematical skills to the vocational problems | 1 | 1, | | LO - 4 : | know the concepts of integral of functions | 1 | 1, | | LO - 5 : | apply the integration to some engineering problems and do some applications
| 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 | | |
| Sequences of numbers and series, Power series, Taylor and Maclaurin series, indefinite integrals and methods, integration by substitution, Riemann sums and definite integral, properties, area , finding of producer and concumer, Functions of several variables and Partial differentiation, Chain rule, derivatives of İmplicit function, Extreme values and saddle points, Lagrange multipliers, Double integrals and Triple integrals, , Matrices and linear algebraic systems, determinats, linear programming |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Sequences of numbers and series | | | Week 2 | Power series | | | Week 3 | Taylor and Maclaurin series | | | Week 4 | Indefinite integrals and methods, integration by substitution | | | Week 5 | Partial integration and simple method of separation of fractions | | | Week 6 | Definite integral and area calculation | | | Week 7 | Applications of definite integrals in the economy | | | Week 8 | Functions of several variables and Partial differentiation | | | Week 9 | Mid-term exam
| | | Week 10 | Chain rule, derivatives of İmplicit function, Higher order partial derivatives | | | Week 11 | Extremes, Lagrange multipliers method | | | Week 12 | Double integrals and Triple integrals, Matrices and determinants | | | Week 13 | Matrices and determinants | | | Week 14 | Linear equations systems | | | Week 15 | Applications | | | Week 16 | End-of-term exam | | | |
| 1 | Öztürk, A., Çakır H., 1997, Matematiksel Analize Giriş I -II, Ekin yayınları İstanbul | | | |
| 1 | Hacısalihoğlu, H.H., Gökdal, F.,Balcı M., Temel ve Genel Matematik (Cilt 1-2) | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | 04/2023 | 1 | 50 | | End-of-term exam | 16 | 06/2023 | 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 | 4 | 14 | 56 | | Arasınav için hazırlık | 7 | 2 | 14 | | Arasınav | 1 | 1 | 1 | | Dönem sonu sınavı için hazırlık | 12 | 3 | 36 | | Dönem sonu sınavı | 1 | 1 | 1 | | Total work load | | | 150 |
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