| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İKT108B | Mathematics-II | Compulsory | 1 | 2 | 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 Elmalı |
| Learning Outcomes |
| 1 | teach the basic mathematical techniques | | 2 | gain the basic mathematical skills | | 3 | apply the basic mathematical skills to the vocational problems | | 4 | | | 5 | |
|
| Mode of Delivery |
| Normal Education |
| Prerequisites and co-requisities |
| None |
| Recommended Optional Programme Components |
| None |
| Course Contents |
| Sequences of numbers and series; power series; taylor and maclaurin series, indefinite integrals and basic integral rules; techniques of integration; definite integral and areas between curves; functions of several variables and partial derivatives; the chain rule; extreme values and saddle points; lagrange multipliers; double integrals; matrices; determinant and properties; linear equation systems; linear programming. |
| Weekly Detailed Course Contents |
|
| 1 | Sequences of numbers and series. | | | | 2 | Power series. | | | | 3 | Taylor and Maclaurin series. | | | | 4 | indefinite integrals and basic integral rules. | | | | 5 | Partial integration method. | | | | 6 | Definite integral and areas between curves. | | | | 7 | Functions of several variables and partial derivatives. | | | | 8 | Mid-term exam | | | | 9 | The chain rule. | | | | 10 | Matrices and matrix operators. | | | | 11 | Extreme values and saddle points, Lagrange multipliers. | | | | 12 | Double integrals. | | | | 13 | Determinant and properties. | | | | 14 | Linear programming. | | | | 15 | | | | | 16 | | | |
|
| Recommended or Required Reading |
| Öztürk, A., Çakır H., 1997; Matematiksel Analize Giriş I -II, Ekin yayınları İstanbul
Hacısalihoğlu, H.H., Gökdal, F.,Balcı M.; Temel ve Genel Matematik (Cilt 1-2) |
| 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 | 1 | 1 | 1 |
| Final Examination | 1 | 1 | 1 |
| Attending Lectures | 14 | 4 | 56 |
| Self Study | 14 | 3 | 42 |
| Individual Study for Mid term Examination | 1 | 30 | 30 |
| Individual Study for Final Examination | 1 | 35 | 35 |
|
| Contribution of Learning Outcomes to Programme Outcomes |
| LO1 | 3 | 4 | 2 | 2 | 1 | 2 | 1 | | LO2 | 3 | 3 | 3 | 2 | 2 | 2 | 1 | | LO3 | 4 | 4 | 4 | 4 | 2 | 2 | 1 | | LO4 | 3 | 3 | 4 | 3 | 2 | 2 | 1 | | LO5 | 4 | 4 | 5 | 4 | 5 | 5 | 1 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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