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 | Uzaktan 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 UNIVERCITY AÇIKÖĞRETİM FACULTY MATEMATİK 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 | Program graduates have sufficient knowledge in mathematics, science and the implementation of the telecommunication issues in these areas | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Program graduates have knowledge regarding available materials and their selection in telecommunication sector. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Program graduates have knowledge of planning and organizing ateliers and operating plants in telecommunication sector. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Program graduates have ability to follow developing technologies with his/her acquired knowledge. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Program graduates have ability to design and draw the professional plans and projects by using a computer drawing or simulation program in his/her filed. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Program graduate carry out a basic level study on his/her own, collect, analyze and interpret the data and prepare the final report in order to examine a problem regarding telecommunication technologies. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Program graduates take responsibility as a team member in order to solve the problems encountered in the applications of telecommunication area; he/she who has the conscious of the necessity of lifelong learning renews his/herself continuously to access knowledge. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Program graduates have ability to use at least one computer programming language and a foreign language in the extent required by the profession. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Program graduates use one computer software required by the field at least and information and communication technologies in a basic level. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Program graduates inculcate to be a patient individual with responsibility consciousness and moral values required by the profession. | |
| PLO11 | Yetkinlikler - Öğrenme Yetkinliği | Program graduates act according to professional ethics to provide the occupational health and safety in the field | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Becomes ready to use what they have learned with hands-on training in business life. |
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 | Term Exams | Review of previous course notes and getting information from source books | Ölçme Yöntemleri: Yazılı Sınav |
| 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 | ||