| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAEZ1042018331 | CALCULUS-2 | Compulsory | 1 | 2 | 4 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The ojective of this course is to have students gain the necessarry mathematical maturity to understand and apply mathematical concepts within the topics listed in the contents of the course section.
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| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Tolga AKTÜRK |
| Learning Outcomes |
| 1 | Understand complex numbers and perform arithmetic operations with complex numbers. | | 2 | Understand how trigonometric functions are defined for real numbers.
| | 3 | Understand riemann sum | | 4 | Understand the relation between definite and indefinite integral. | | 5 | Apply the rules for finding indefinite integral | | 6 | Use tests to determine the convergence of series |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
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| Recommended Optional Programme Components |
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| Course Contents |
| Complex numbers, Trigonometrik functions, Riemann sum, Fundemantal Theorem of Calculus, Series and tests for convergence of series. |
| Weekly Detailed Course Contents |
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| 1 | Introduction of complex numbers and arithmetic operations | | | | 2 | Complex plane and polar representation of complex numbers | | | | 3 | Introduction of trigonometric functions in the Cartesian coordinate system | | | | 4 | Graphs of trigonometric functions | | | | 5 | Graphs of trigonometric functions | | | | 6 | Definition of Riemann sum | | | | 7 | Fundemental theorem of calculus | | | | 8 | Indefinite integration methods | | | | 9 | Midterm | | | | 10 | Indefinite integration methods | | | | 11 | Applications of integral | | | | 12 | Applications of integral | | | | 13 | Definition of series and special series | | | | 14 | Convergence tests | | | | 15 | Final exam | | |
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| Recommended or Required Reading |
| Balcı, Mustafa.1999; Analiz |
| Planned Learning Activities and Teaching Methods |
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| 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) | |
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| Workload Calculation |
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| Midterm Examination | 1 | 1 | 1 |
| Final Examination | 1 | 1 | 1 |
| Attending Lectures | 14 | 2 | 28 |
| Self Study | 6 | 6 | 36 |
| Individual Study for Mid term Examination | 4 | 6 | 24 |
| Individual Study for Final Examination | 5 | 5 | 25 |
| 12 | 1 | 12 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 4 | 4 | 4 | | | | | | | | | | | | | | | LO2 | | 4 | | 5 | 5 | | 4 | 5 | | 4 | | | | | | | | LO3 | | | | | 4 | 4 | | 3 | | 5 | 4 | | | | | | | LO4 | | | | | | | 5 | 5 | | | | | | | | | | LO5 | | | | | | | | 3 | | 3 | 3 | 4 | 4 | | 5 | | | LO6 | | | | | | | | | | 4 | 4 | 4 | | | | 5 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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