| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | BTB1032017251 | MATHEMATICS | Compulsory | 1 | 1 | 6 |
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| Level of Course Unit |
| First Cycle |
| Objectives of the Course |
| To teach the properties of functions defined in real numbers space, drawing graphs, finding extremum values, calculating derivatives and integrals. |
| Name of Lecturer(s) |
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| Learning Outcomes |
| 1 | Learns basic mathematical concepts | | 2 | Interprets and graphs functions | | 3 | Understands the limit, continuity and derivative concepts in functions | | 4 | Performs various exercises of derivative and integration with applications to engineering problems |
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| Mode of Delivery |
| Formal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Real numbers, absolute values, inequalities, rational functions, rational, algebraic, exponential, logarithmic, trigonometric functions and their graphs, limits and continuity, derivatives, maximum and minimum problems, asymptotes, solution of indefinite integrals, calculation of definite integrals, series, convergence in series, power series and convergence, Fourier series. |
| Weekly Detailed Course Contents |
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| 1 | Real numbers | | | | 2 | Absolute value | | | | 3 | Inequalities | | | | 4 | Functions with one variable | | | | 5 | Rational, algebraic functions | | | | 6 | Exponential and logarithmic functions | | | | 7 | Trigonometric functions and graphs | | | | 8 | Mid-term exam | | | | 9 | Limit and Continuity | | | | 10 | Derivatives | | | | 11 | Maximum and minimum problems | | | | 12 | Graphing with asymptotes | | | | 13 | Series and convergenc | | | | 14 | Power and Fourier series | | | | 15 | Definite and indefinite integrals | | | | 16 | End-of-term exam | | |
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| Recommended or Required Reading |
| Unutulmaz, O., 2009. Uygulamalı Temel Matematik 1. Detay Yayıncılık
Balcı, M., 2003. Genel Matematik 1.Balcı Yayınları
Edwards-Penney. Matematik Analiz Ve Analitik Geometri Problem Çözümleri Cilt 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) | | None |
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| Workload Calculation |
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| Midterm Examination | 1 | 2 | 2 |
| Final Examination | 1 | 2 | 2 |
| Attending Lectures | 14 | 4 | 56 |
| Self Study | 14 | 2 | 28 |
| Individual Study for Homework Problems | 7 | 10 | 70 |
| Individual Study for Mid term Examination | 2 | 4 | 8 |
| Individual Study for Final Examination | 2 | 4 | 8 |
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| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 5 | 5 | 2 | 3 | 3 | 3 | 3 | 4 | 3 | 3 | 2 | 3 | 4 | 2 | 3 | 2 | 2 | | LO2 | 5 | 5 | 2 | 3 | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 3 | 4 | 2 | 3 | 2 | 3 | | LO3 | 5 | 5 | 2 | 3 | 3 | 3 | 2 | 4 | 3 | 3 | 2 | 3 | 4 | 2 | 3 | 2 | 3 | | LO4 | 5 | 5 | 2 | 3 | 3 | 3 | 3 | 4 | 2 | 3 | 3 | 3 | 4 | 2 | 3 | 2 | 3 |
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| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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