MAT104 Mathematic II

4 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

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
Öğr. Gör. AYŞE ÇİÇEK (A Group) (Ins. in Charge)


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

Update Time: 09.05.2024 12:28