MAT105 Mathematics I

4 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code MAT105
Name Mathematics I
Semester 1. 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 Goal

With this course, the student will gain the ability to apply the mathematical knowledge and skills necessary for her profession to her work.

Course Content

Algebra, Polynomials and their operations, Ratio and proportion and their aplications, Equations, Inequalities, Sigma symbol, product symbol, Sequences, limited sequences and constant sequence, operations of the sequences, Aritmetic sequences, geometric sequences, geometric series and their sums, Fundamentals of geometry, polygons, circle and disk, Geometric objects, coordinate systems, conics, Fundamentals of trigonometry, Trigonometric functions, Functions and their operations, function types, Parabolas and their graphs.

Course Precondition

Must be able to perform basic mathematical 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

Other mathematics books on the subject can be used.


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Do algebraic applications in profession.
LO02 To make applications about equations and inequalities in profession.
LO03 To make applications about the profession in the profession.
LO04 To make applications about geometry in profession.
LO05 To make applications about trigonometry in profession.
LO06 Solves direct proportion and inverse proportion problems.
LO07 Uses basic knowledge about function solutions.


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 Numbers and their operations Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
2 Exponential numbers Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
3 Radical numbers Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
4 Ratio and Proportion Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
5 polynomials Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
6 Functions Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
7 First Grade Equations Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
8 Mid-Term Exam None Ölçme Yöntemleri:
Yazılı Sınav
9 Second Gradient Equations Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
10 Trigonometry Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
11 Logarithm Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
12 inequalities Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
13 Absolute value Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
14 clusters Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
15 Modular Arithmetic Reviewing lecture notes Öğretim Yöntemleri:
Anlatım, Alıştırma ve Uygulama
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