TÜRKÇE
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Information
| Code | MAT104 |
| Name | Mathematic II |
| 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 Goal
To create the necessary and adequate mathematical foundation by teaching the subjects in the course efficiently. To understand mathematics subjects in vocational courses better and to use mathematical subjects they learn 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
None
Resources
ATATURK UNIVERSITY AÇIKÖĞRETİM FACULTY MATHEMATICS I
Notes
Thomas Calculus ,Maurice D.Weir, Joel Hass, Frank R. Giordano
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 | Have basic theoretical knowledge about mathematics, science and electric field. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Analyzes electrical circuits. | 2 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Recognizes passive and active circuit elements. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains the operation of basic analog and digital electronic circuits. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Recognizes low and high voltage electrical switchgears | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Draws computer aided electrical installation project. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Performs the installation and maintenance of electrical machines. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Recognizes the basic concepts and elements of control systems. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Performs fault detection and repair in energy panels. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Makes basic automation system design and applications with Programmable Control devices. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts of generation, transmission and distribution of electrical energy. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Uses electrical measuring devices effectively. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Have the ability to follow developments in the necessity of lifelong learning and new technologies. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Uses at least one professional software related to electronic circuit design. | |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | To have a command of communication skills and foreign language in order to communicate efficiently and follow the latest developments in his/her field of study | |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes individual responsibility and is prone to teamwork. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses office software and communication technologies. | |
| PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Occupational safety, worker health, occupational accidents and environmental protection knowledge and quality awareness. | |
| PLO19 | Yetkinlikler - Alana Özgü Yetkinlik | Has a sense of professional and ethical responsibility. |
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 - I | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Applications of Integral - II | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | 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 |
| 15 | 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 |
| 16 | Adjoint Matrix Inverse of a Matrix | Review of previous course notes and getting information from source booksrelated to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 17 | Term Exams | Review of previous course notes and getting information from source books | 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 | ||