Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | İKT108B2 | Mathematics II | Compulsory | 1 | 2 | 5 |
|
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) |
|
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 | 3 | 42 |
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 |
|
|