| Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | | İŞL108B | 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 ELMALI |
| 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 | know the concepts of integral of functions | | 5 | apply the integration to some engineering problems and do some applications |
|
| Mode of Delivery |
| Second 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 methods, integration by substitution, Riemann sums and definite integral, properties, area , finding of producer and concumer, Functions of several variables and Partial differentiation, Chain rule, derivatives of İmplicit function, Extreme values and saddle points, Lagrange multipliers, Double integrals and Triple integrals, , Matrices and linear algebraic systems, determinats, linear programming |
| Weekly Detailed Course Contents |
|
| 1 | Sequences of numbers and series | | | | 2 | Power series | | | | 3 | Taylor and Maclaurin series | | | | 4 | Indefinite integrals and methods, integration by substitution | | | | 5 | Partial integration and simple method of separation of fractions | | | | 6 | Definite integral and area calculation | | | | 7 | Applications of definite integrals in the economy | | | | 8 | Functions of several variables and Partial differentiation | | | | 9 | Mid-term exam | | | | 10 | Chain rule, derivatives of İmplicit function, Higher order partial derivatives | | | | 11 | Extremes, Lagrange multipliers method | | | | 12 | Double integrals and Triple integrals, Matrices and determinants | | | | 13 | Matrices and determinants | | | | 14 | Linear equations systems | | | | 15 | Applications | | | | 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 | 2 | 2 | 2 | 1 | 1 | 2 | 1 | 1 | | LO2 | 3 | 2 | 3 | 2 | 2 | 2 | 2 | 3 | 3 | 2 | | LO3 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | | LO4 | 3 | 3 | 3 | 3 | 2 | 2 | 3 | 3 | 3 | 2 | | LO5 | 5 | 4 | 4 | 4 | 4 | 4 | 4 | 5 | 5 | 5 |
|
| * Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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