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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 | | İŞL107B | Mathematics I | Compulsory | 1 | 1 | 6 |
| | Level of Course Unit | | First Cycle | | Objectives 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. | | Name of Lecturer(s) | | Dr. Öğr. Üyesi Kübra ELMALI | | Learning Outcomes | | 1 | clasify numbers and understand functions and their properties | | 2 | know the concepts of limit and continuity of functions | | 3 | know the concepts of derivatives of functions | | 4 | apply of the derivative to some engineering problems |
| | Mode of Delivery | | Second Education | | Prerequisites and co-requisities | | None | | Recommended Optional Programme Components | | None | | Course Contents | | Real numbers and their properties, Exponents and radical expressions, Polynomials, Linear and quadratic equations, inequalities, quadratic inequalities, Absolute value, functions, vertical coordinate system, simple graphics, two linear equations with two unknown systems and applications, exponential and logarithmic functions,Limit and continuity, derivatives and differential rules, geometrical interpretation of derivative, derivative of implicit function, high-order derivatives, applications of derivatives, minimum-maximum problems, Applications of Minimum-maximum problem to the economy,Asymptotes and graphic drawings, Uncertainty and L'Hosbital rule | | Weekly Detailed Course Contents | |
| 1 | Real numbers and its properties,Exponents and radical expressions, Polynomials | | | | 2 |
Linear and quadratic equations | | | | 3 | Inequalities, quadratic inequalities | | | | 4 | Absolute value, functions, vertical coordinate system, simple graphics | | | | 5 | System of linear equations with two unknowns and applications | | | | 6 | Exponential and logarithmic functions | | | | 7 | Limits and continuity | | | | 8 | Derivative and differential rules | | | | 9 | Mid-term exam | | | | 10 | Geometrical interpretation of derivative, derivative of implicit function | | | | 11 | high-order derivatives | | | | 12 | Applications of derivatives, minimum-maximum problems | | | | 13 | Applications of Minimum-maximum problem to the economy | | | | 14 | Asymptotes and graphic drawings | | | | 15 | Uncertainties and L'Hosbital rule | | | | 16 | End-of-term exam | | |
| | Recommended or Required Reading | | Öztürk, A., Çakır H., 1997, Matematiksel Analize Giriş I -II, Ekin yayınları İstanbul | | 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) | | None |
| | Workload Calculation | |
| Midterm Examination | 3 | 20 | 60 | | Final Examination | 3 | 20 | 60 | | Makeup Examination | 3 | 20 | 60 | |
| Contribution of Learning Outcomes to Programme Outcomes | | LO1 | 3 | 3 | 3 | 2 | 2 | 2 | 1 | 3 | 1 | 2 | | LO2 | 3 | 2 | 3 | 2 | 2 | 2 | | 3 | 3 | 2 | | LO3 | 3 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 3 | 2 | | LO4 | 3 | 3 | 3 | 3 | 2 | 2 | 3 | 3 | 3 | 2 |
| | * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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