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Description of Individual Course Units| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAT1012011131 | ANALYSİS -I | Compulsory | 1 | 1 | 7 |
| | Level of Course Unit | | First Cycle | | Objectives of the Course | | This course is designed to give the fundamental concepts of analysis. | | Name of Lecturer(s) | | Dr. Fatih Say | | Learning Outcomes | | 1 | Students will have necessary fundemental of mathematical analysis |
| | Mode of Delivery | | Formal Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Natural numbers, rational numbers, irrational numbers and real number sets, the properties of linear points-phrases and completeness axiom, Extented real numbers and complex numbers. Sequences, sub-sequences, convergent sequences, the lower limit and upper limit, Cauchy sequences. Limit of functions. Continuty of functions. Trigonometric, exponential, logaritmic and hyperbolic functions. Unifom contunuity, properties of continuity functions. Derivatives, derivative rules. Parametric and implicit differentiation, higher-order derivatives. Geometrical and physical meaning of the derivative. Extrema, the derivative theorems. Uncertain limits and differential forms. Cartesian and polar coordinates, curve sketching. | | Weekly Detailed Course Contents | |
| 1 | Natural numbers, rational numbers, irrational numbers and real number sets,
| | | | 2 | the properties of linear points-phrases and completeness axiom
| | | | 3 | Extented real numbers and complex numbers.
| | | | 4 | Sequences, sub-sequences, convergent sequences, the lower limit and upper limit, Cauchy sequences
| | | | 5 | Limit of functions.
| | | | 6 | Continuty of functions
| | | | 7 | Trigonometric, exponential, logaritmic and hyperbolic functions
| | | | 8 | Midterm, | | | | 9 | Unifom contunuity,
properties of continuity functions.
| | | | 10 | Derivatives, derivative rules
| | | | 11 | Parametric and implicit differentiation, higher-order derivatives.
| | | | 12 | Geometrical and physical meaning of the derivative
| | | | 13 | Extrema, the derivative theorems
| | | | 14 | Uncertain limits and differential forms
| | | | 15 | Cartesian and polar coordinates, curve sketching.
| | | | 16 | Final exam | | |
| | Recommended or Required Reading | | 1 Matematik Analiz, Cilt I, Mustafa BALCI
Other Textbook and /or References
1 Thomas Kalkülüs Cilt I, George Thomas, Maurice Weir, Joel Hass
2 Yüksek Matematik Cilt I, Ahmet KARADENİZ
3 Yüksek Matematik Cilt I, Hüseyin HALİLOV
| | Planned Learning Activities and Teaching Methods | | | Assessment Methods and Criteria | |
| SUM | 0 | |
| SUM | 0 | | Yarıyıl (Yıl) İçi Etkinlikleri | 40 | | Yarıyıl (Yıl) Sonu Etkinlikleri | 60 | | SUM | 100 |
| | Language of Instruction | | Turkish | | Work Placement(s) | | None |
| | Workload Calculation | |
| Midterm Examination | 1 | 2 | 2 | | Final Examination | 1 | 2 | 2 | | Makeup Examination | 1 | 2 | 2 | | Attending Lectures | 14 | 5 | 70 | | Problem Solving | 10 | 4 | 40 | | Self Study | 10 | 6 | 60 | | 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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