| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | MAEZ1032018331 | CALCULUS-1 | Compulsory | 1 | 1 | 3 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| The main objective of this course is to have students develop a good understanding about the mathematical concepts mentioned in the Contents of the Course section. |
| Name of Lecturer(s) |
| Dr. Öğr. Üyesi Tolga AKTÜRK |
| Learning Outcomes |
| 1 | Know the axioms of real number system. | | 2 | Know basic function types and their graphs. | | 3 | İnterpret the definition of limit and continuity bot algebraically and graphically, and also state their difference. | | 4 | Use the concepts of limit and continuity in mathematical problem situations. | | 5 | State the different interpratations of the derivative concept (rate of change, slope of the tangent line) and use derivative in optimization problems. | | 6 | Relate the signs of first- and second-order derivatives of a function with the increasing/decreasing and concave downwards/concave upwards characteristics of its graph. | | 7 | Construct the rational numbers and some irrational numbers on the number line with Euclidean methods. |
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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 |
| The content of the course consists of: Set theory and Real number system; the concepts of relation and function; Basic function types and their graphs; the concepts of limit and continuity and their applications; The concept of derivative and its applications; The relations between the graph of a function and its first- and second-order derivatives and using these relations effectively to produce the graphs of functions. |
| Weekly Detailed Course Contents |
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| 1 | The concept of set and operations on sets | | | | 2 | Algebraic axioms of reel numbers | | | | 3 | Ordering axioms of real number system | | | | 4 | Completeness axiom; the concepts of upper bound, lower bound, infimum, and supremum | | | | 5 | Relation, function, basic function types | | | | 6 | The concept of limit and its applications | | | | 7 | The concept of limit and its applications | | | | 8 | The concept of continuity and its applications | | | | 9 | Mid-term exam | | | | 10 | The concept of derivative | | | | 11 | The applications of the derivative concept | | | | 12 | Theorems about the concept of derivative | | | | 13 | Drawing function graphs | | | | 14 | Drawing function graphs | | | | 15 | End-term examination | | |
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| Recommended or Required Reading |
| Balcı, M. 2017; Analiz 1 |
| 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 | 5 | 5 | 25 |
| Individual Study for Mid term Examination | 2 | 5 | 10 |
| Individual Study for Final Examination | 2 | 5 | 10 |
| 10 | 1 | 10 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 5 | 5 | 4 | 3 | | | | | | | | | | | | | LO2 | 1 | 2 | 3 | 3 | 3 | | | | | | | | | | | | | LO3 | | | | | | 3 | 4 | 5 | 5 | | | | | | | | | LO4 | | | | | | 1 | 2 | 3 | 4 | 5 | | | | | | | | LO5 | | | | | | | 3 | 4 | 5 | 5 | 5 | | | | | | | LO6 | | | | | | | | | | | 3 | 4 | 5 | 5 | 5 | 5 | | LO7 | | | | | | | | | | | | 5 | 5 | 5 | 4 | 5 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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