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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 |
Course Goal / Objective
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 | They acquire knowledge about occupational safety, worker health, workplace accidents, environmental protection, and quality processes. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Recognizes passive and active circuit elements. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains the operation of basic analog and digital electronic circuits. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Recognizes low and high voltage electrical switchgears | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Recognizes the basic concepts and elements of control systems. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts of generation, transmission and distribution of electrical energy. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | They actively follow and effectively utilize current developments and applications in their profession. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | The person effectively utilizes information technologies (software, programming, animation, etc.) related to their profession. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | They have the ability to independently evaluate professional problems and issues with an analytical and critical approach, and to offer solutions. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Draws computer aided electrical installation project. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Performs the installation and maintenance of electrical machines. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Performs fault detection and repair in energy panels. | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Makes basic automation system design and applications with Programmable Control devices. | |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | Uses electrical measuring devices effectively. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | Analyzes electrical circuits. | 2 |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | They can effectively present their thoughts through written and verbal communication, expressing them in a clear and understandable manner at the level of knowledge and skills. | |
| PLO18 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | They take responsibility as a team member to solve unforeseen complex problems encountered in practical applications related to their field. | |
| PLO19 | Yetkinlikler - Öğrenme Yetkinliği | They have awareness in career management and lifelong learning. | |
| PLO20 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | They uphold societal, scientific, cultural, and ethical values in the collection, implementation, and dissemination of data related to their field. | |
| PLO21 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | They follow the knowledge in their field using a foreign language and communicate with colleagues. |
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 | ||