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, to gain competence to apply mathematical knowledge and skills which is necessary for the profession to 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

No Prerequisites for the Course

Resources

G. B. Thomas, M. D. Weir, J. R. Hass, Thomas Kalkülüs 12. Baskı, Cilt 1, Pearson Yayınları, Çeviri Editörü: Mustafa Bayram 2) Stewart, J., Kalkülüs, TÜBA yayınları

Notes

lecturer's notes, Prof. Dr. Levent SANGÜN


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.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Yetkinlikler - İletişim ve Sosyal Yetkinlik Communicates effectively with all partners on a sectoral basis.
PLO02 Bilgi - Kuramsal, Olgusal has the basic knowledge necessary to develop computer software, to establish algorithm, sequential and simultaneous flow logic 5
PLO03 Yetkinlikler - Alana Özgü Yetkinlik Designs systems for fundamental problems in microcontrollers, embedded systems and analog/digital electronics. 5
PLO04 Yetkinlikler - Alana Özgü Yetkinlik Uses basic software related to information and communication technologies, specific to his profession. 5
PLO05 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Applies the software and hardware developments in the field of Computer Programming independently. 3
PLO06 Bilgi - Kuramsal, Olgusal Explains the necessary methods for solving well-defined problems in the field of Computer Technologies and Programming. 2
PLO07 Bilgi - Kuramsal, Olgusal Has the basic knowledge level required to develop software specific to web, mobile and other electronic platforms. 5
PLO08 Beceriler - Bilişsel, Uygulamalı Develops software for desktop and other environments. 2
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Takes an active role in project development processes, independently or as part of a group, within a planned project. 1
PLO10 Bilgi - Kuramsal, Olgusal Knows project planning, development and implementation processes.
PLO11 Yetkinlikler - Alana Özgü Yetkinlik Performs data storage, editing, querying, etc. operations in computer and network environment.
PLO12 Yetkinlikler - Alana Özgü Yetkinlik It has the ability to solve unpredictable hardware and software problems. 4
PLO13 Beceriler - Bilişsel, Uygulamalı Codes software components that have been analyzed and the algorithm has been prepared. 1
PLO14 Bilgi - Kuramsal, Olgusal Knows the methods to be used in software development. 3
PLO15 Yetkinlikler - Öğrenme Yetkinliği Constantly follows current innovations and developments in the field of information technologies.
PLO16 Yetkinlikler - İletişim ve Sosyal Yetkinlik Communicates verbally and in writing in a foreign language.
PLO17 Yetkinlikler - İletişim ve Sosyal Yetkinlik It has the phenomenon of the necessity of moral and ethical behaviors related to the information technology profession.
PLO18 Yetkinlikler - Alana Özgü Yetkinlik Has the necessary awareness of occupational safety in her field.
PLO19 Beceriler - Bilişsel, Uygulamalı It uses operating systems with administrative features.
PLO20 Bilgi - Kuramsal, Olgusal Has basic knowledge of entrepreneurship.


Week Plan

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