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Description of Individual Course UnitsCourse Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 180300901102 | MATHEMATICS I | Compulsory | 1 | 1 | 5 |
| Level of Course Unit | First Cycle | Objectives of the Course | To give basic concepts related to mathematical analysis, to give the concepts of limit, continuity, derivative | Name of Lecturer(s) | Dr. Öğr. Üyesi Hasan KARA | Learning Outcomes | 1 | To gain the basic knowledge required in the analysis branch |
| Mode of Delivery | Daytime Class | Prerequisites and co-requisities | | Recommended Optional Programme Components | | Course Contents | Natural numbers, rational numbers, irrational numbers and real number sentences, properties of linear point sentences and completeness axioms, extended real numbers and complex numbers. Arrays, sub-sequences, convergent sequences, lower limit and upper limit, Cauchy sequences. Limit and continuity in functions, trigonometric, exponential, logarithmic and hyperbolic functions, regular continuity, properties of continuous functions. Derivative, general rules in deriving, derivatives of closed and parametric functions, higher order derivatives, geometric and physical meanings of derivative, extremes, theorems related to derivative, ambiguous shapes in limits and differential. Drawing curve in Cartesian and polar coordinates. | Weekly Detailed Course Contents | |
1 | Natural numbers, rational numbers, irrational numbers and real number sentences | | | 2 | properties of linear point sets and completeness axiom, extended real numbers and complex numbers | | | 3 | Arrays, subsets | | | 4 | Convergent sequences, lower limit and upper limit | | | 5 | Functions, trigonometric, exponential, logarithmic and hyperbolic functions | | | 6 | Limit and continuity in functions | | | 7 | Uniform continuity, properties of continuous functions | | | 8 | Midterm | | | 9 | General rules of derivative, derivative | | | 10 | Derivatives of closed and parametric functions, higher order derivatives | | | 11 | Geometric and physical meanings of derivative | | | 12 | Extremum, theorems related to the derivative | | | 13 | Limits of uncertain shapes and differential | | | 14 | Drawing curve in Cartesian and polar coordinates | | | 15 | Final Exam | | |
| Recommended or Required Reading | Kadıoğlu Ekrem,Kamali Muhammet; Genel Matematik , Atatürk Üni. Erzurum 2016.
Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara. | Planned Learning Activities and Teaching Methods | | Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
| Workload Calculation | |
Midterm Examination | 1 | 1.5 | 1.5 | Final Examination | 1 | 2 | 2 | Attending Lectures | 14 | 3 | 42 | Problem Solving | 10 | 4 | 40 | Self Study | 10 | 5 | 50 | Individual Study for Mid term Examination | 3 | 5 | 15 | Individual Study for Final Examination | 6 | 5 | 30 | |
Contribution of Learning Outcomes to Programme Outcomes | | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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