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Information
| Code | MAT104 |
| Name | Mathematic II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Ön Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Mühendis YUSUF POLAT |
| Course Instructor |
1 2 |
Course Goal / Objective
By teaching the subjects within the scope of the course efficiently, it is aimed to form the necessary and sufficient mathematics foundation and to enable them to better understand the subjects of mathematics in vocational courses and to use the learned mathematics in their profession.
Course Content
Preliminary info, functions, limit and continuity, derivative, application of derivative, indefinite integral, integration methods, properties of definite integral, related theorems, applications of integral, complex numbers, matrices, analytic geometry and trigonometry and angle concepts.
Course Precondition
Must be able to do basic math operations.
Resources
1) L.Sangün, A.Ekicibil, Mathematics Lecture Notes, Adana Vocational School Publications. 2) F.Akdeniz , D.Dönmez, A.Temizyürek et al., Basic Mathematics, Nobel Bookstore, 2003.
Notes
All books on the subject can be used.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Learns functions concepts and function types. |
| LO02 | Learns complex numbers and finds their operations. |
| LO03 | Learns the definition of trigonometry and applies on coordinate system. |
| LO04 | Learns the definions of limit and continuity and applies the rules of taking derivative. |
| LO05 | Compares the meaning of the derivative implies speed in physical sense and slopes in geometric sense.Examines the derivative of Trigonometric and Exponential Functions. |
| LO06 | Applies the rules of taking integral. |
| LO07 | Learns the definition of matrix, matrix types, properties of matrices and finds matrix operations. |
| LO08 | Learns the definiton of determinant and applies to solve equations. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts in air conditioning and refrigeration field. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Clarify the relationship between the basic concepts of air conditioning and refrigeration field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Know the working principles of air-conditioning and cooling systems components. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Describe the different methods and techniques using relevant disciplines in air conditioning and refrigeration systems in problem solving. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explain the application areas of air-conditioning and refrigeration in daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Offer a solution encountered in air conditioning systems in case of failure. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Employe the convenient ways and techniques in order to develop creative thinking and problem solving skills in air conditioning and refrigeration profession and the practice of the profession. | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Use appropriate tools and equipment in accordance with the requirements of air conditioning and refrigeration the profession taking additional technical education. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Draw the projects of air-conditioning and refrigeration systems using scientific ways. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Make presentations and comments the data obtained to progress the air-conditioning and refrigeration systems using the laboratory effectively. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Apply new methods and techniques in air conditioning cooling power and control circuits | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Take responsibility as individuals and team members in solving problems regarding air-conditioning and refrigeration fields . | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Professional, technological and academic developments continuously monitors and have the life-long learning. | |
| PLO14 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge and skills in the field have identified the problems and share solutions with experts and non-experts through oral and written communication proposals. | |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It uses information and communication technologies effectively. | |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It uses the English in the following of progressing of air conditioning and refrigeration fields and uses in the capability of professional communication. | |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It communicates with material suppliers and its practitioners preparing the professional drawings | |
| PLO18 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It constantly improves itself in scientific, social, cultural and sporting fields in the direction of learning needs for personal development as well as career development. | |
| PLO19 | Yetkinlikler - Öğrenme Yetkinliği | Occupational health and safety would have national and universal sentiment expressed in the Act. | |
| PLO20 | Yetkinlikler - Öğrenme Yetkinliği | Obey the legality of technological applications and act in accordance with professional ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definiton of Function Domain, Codomain and Range Sets Piecewise Function Absolute Value Function | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Function Operations Function Types(unit , constant, bijection,into) Function Graphics | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | Definition of Complex Number Powers of i Number Equilibrium of two complex numbers | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Complex Plane Conjugate of a Complex number Absolute Value of a Complex Number Four Operations with Complex Numbers | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Trigonometric Ratios of Acute Angles sin,cos,cot,tan Functions and their properties Relationship between Radian and Degree | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Definion of limit and continuity at a point Right-hand and Left-hand limit concepts Limits of Polynomial Functions Limit Graphics | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Definition and Properties of Derivative | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | None | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivation of Trigonometric Functions Derivation of Exponential Functions Applications of Derivatives | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Definition and Properties of Integral Definite Integral, Indefinite Integral Partial Integration and Change of Variable | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Integral of Trigonometric Functions Integral of Exponential Functions | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Applications of Integral | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Definition of Matrix Matrix Types (Zero, Square, Unit) Transpose of a Matrix Matrix Operations Matrix Power | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Determinant of the matrix Minor (Cofactor) Properties of Determinant Adjoint Matrix Inverse of a Matrix | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Determinant of the matrix Minor (Cofactor) Properties of Determinant Adjoint Matrix Inverse of a Matrix (2) | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | None | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | None | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 3 | 42 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||