CANKIRI KARATEKIN UNIVERSITY Bologna Information System

Course Information

Course's Contribution to Prog.

ECTS- Workload Calculation Tool

Program Information

Course Title | Code | Semester | Laboratory+Practice (Hour) | Pool | Type | ECTS |

Vocational Mathematic II | CİK102 | SPRING | 3+1 | C | 4 |

Learning Outcomes | 1-Solve linear systems of equations using matrices and determinants in professional applications. 2-Applies limit rules in instant change calculations. 3-Makes physical and geometric applications using derivative. 4-Make calculations of area and volume using integral. |

Activity | Percentage (100) | Number | Time (Hours) | Total Workload (hours) |

Course Duration (Weeks x Course Hours) | 14 | 4 | 56 | |

Classroom study (Pre-study, practice) | 14 | 2 | 28 | |

Assignments | 0 | 0 | 0 | 0 |

Short-Term Exams (exam + preparation) | 0 | 0 | 0 | 0 |

Midterm exams (exam + preparation) | 40 | 1 | 10 | 10 |

Project | 0 | 0 | 0 | 0 |

Laboratory | 0 | 0 | 0 | 0 |

Final exam (exam + preparation) | 60 | 1 | 20 | 20 |

Other | 0 | 0 | 0 | 0 |

Total Workload (hours) | 114 | |||

Total Workload (hours) / 30 (s) | 3,8 ---- (4) | |||

ECTS Credit | 4 |

Week | Topics | Study Metarials |

1 | Matrices, matrix types, operations on matrices. | K1 CHAPTER 5 |

2 | Transposition of matrices and inverses. | K1 CHAPTER 5 |

3 | Definition of determinants, calculation of second order determinants. | K1 CHAPTER 5 |

4 | Sarruss and laplace rules in the calculation of third order determinants. | K1 CHAPTER 5 |

5 | Solution of linear systems of equations with matrices and determinants. Application about electrical circuits. | K1 CHAPTER 5 |

6 | Definition of limit and limit taking rules. Limits on right and left. | K1 CHAPTER 6 |

7 | Continuity of functions. Description with graphics. | K1 CHAPTER 6 |

8 | Midterm exams | |

9 | Definition of derivative. Differentiation rules. Derivatives of various functions. | K1 CHAPTER 7 |

10 | Geometric interpretation of the derivative. Derivative applications. Finding ranges where a function is decreasing or increasing, the slope of the tangent line and the equation. | K1 CHAPTER 7 |

11 | Speed and acceleration calculations using derivative. Application of L`hospital rule to uncertainties. Application related to the change of current over time. | K1 CHAPTER 7 |

12 | Defining the integral. Explanation of general rules for indefinite integral. | K1 CHAPTER 9 |

13 | Integration methods. | K1 CHAPTER 9 |

14 | Specific integral, definition and properties. | K1 CHAPTER 9 |

15 | Applications of integral. Calculation of the area of planar regions and volumes of rotational bodies by integral calculation. Application related to the calculation of the electrical field. | K1 CHAPTER 9 |

Prerequisites | - |

Language of Instruction | Turkish |

Coordinator | Lecturer Abdullah YILMAZ |

Instructors | - |

Assistants | - |

Resources | K 1: GENERAL MATHEMATICS for Vocational Schools Dr. Sebahattin BALCI 7th Edition Çankırı K 2: Professor for Basic Mathematics Vocational School and Technical Education Faculties. Dr. Mustafa Balcı BALCI PUBLICATIONS 2011 / 2nd Edition |

Supplementary Book | YK1: Problematic Mathematical Analysis Problem Volume: 1 Prof. Dr. Mustafa BALCI September 2016 / 7th Edition |

Goals | To understand the importance of mathematics in the professional sense, to gain the ability to apply the mathematical knowledge and skills required for the profession to the business. To provide the necessary mathematical infrastructure to develop the power to make transactions, to comment, to complete the associate degree program and to better understand the numerical issues in other vocational courses. |

Content | Matrices, matrix types, operations on matrices. Transposition of matrices and inversion. Definition of determinants, calculation of second order determinants. Sarric and laplace rules in the calculation of third order determinants. Solution of linear systems of equations with matrices. Solution of systems of linear equations with determinants. Definition of limit and limit taking rules. Limits from the left and right. Continuity of functions. Description with graphics. Definition of derivative. Differentiation rules. Derivatives of various functions. Geometric interpretation of the derivative. Derivative applications. Finding ranges where a function is decreasing or increasing, the slope and the equation of the tangent line. Velocity and acceleration calculations using derivative. Application of L`hospital rule to uncertainties. Defining the integral. Explanation of general rules for indefinite integral. Integration methods. Specific integral, definition and properties. Applications of integral. Calculation of the area of planar regions and volumes of rotating bodies by integral calculation. |

Program Learning Outcomes | Level of Contribution | |

1 | 1. Recognizes the scientific principles related with air conditioning and refrigeration systems. | - |

2 | 2. Recognizes the main components and accessories of air-conditioning and cooling systems and describes the functions. | - |

3 | 3. Reads the projects related to air conditioning and refrigeration systems. Draws projects with computer-aided programs. | 2 |

4 | 4. Calculates the heat loads based on the selection in air-conditioning, cooling and heating systems. | 5 |

5 | 5. Knows electrical control systems and automatic control circuits and makes connections. | - |

6 | 6. Calculates pipe diameter in cooling systems and makes connections according to the technique. | 5 |

7 | 7. Designs, manufactures and assembles the duct connections in ventilation and air conditioning systems. | - |

8 | 8. Diagnoses and repairs malfunctions related to air conditioning and refrigeration systems, makes periodic maintenance. | - |

9 | 9. Communicates well with staff at the bottom of the workplace and managers. | - |

10 | 10. Knows business management. | - |

11 | 11. Knows standards and quality controls about the profession. | - |

Çankırı Karatekin Üniversitesi Bilgi İşlem Daire Başkanlığı @
2017 - Webmaster