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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 |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Mühendis YUSUF POLAT |
| Course Instructor |
Öğr. Gör. Abdülvahap SAYGIN
(A Group)
(Ins. in Charge)
|
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 Open Education Faculty Mathematics I, Basic and General Mathematics Thomas Calculus, Beta
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 | Explains basic theoretical information about mathematics, science and electricity. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains the basic principles of occupational safety, occupational health, occupational accidents, environmental protection and quality processes. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explains the operation of basic analog and digital electronic circuits. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Defines low and high voltage electrical switchgear elements and explains their features. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Defines the basic concepts and elements of control systems, explains their functions and applies simple circuits. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts of generation, transmission and distribution of electrical energy. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Researches, evaluates and implements current developments and practices related to his/her profession using appropriate technologies. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Selects and uses information technologies (software, programs, animations, etc.) related to his/her profession and effectively evaluates them in applications. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Draws and interprets electrical installation projects using computer-aided programs. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Performs installation of electrical machines and implements maintenance processes. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Detects faults in energy panels and applies appropriate repair techniques. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | Designs and implements basic automation systems using programmable control devices. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Makes accurate and reliable measurements using electrical measuring devices. | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Analyze electrical circuits and apply appropriate analysis methods. | 2 |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Presents knowledge and skills in a clear, understandable and effective manner both verbally and in writing. | |
| PLO16 | Yetkinlikler - Öğrenme Yetkinliği | Acts consciously about career management and lifelong learning and evaluates development opportunities. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | While performing his/her profession, he/she acts in accordance with historical, social, scientific, cultural and ethical values. | |
| PLO18 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | He/she follows the developments in his/her field using a foreign language and communicates effectively with his/her 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 | 8 | 8 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 100 | ||
| Total Workload / 25 (h) | 4,00 | ||
| ECTS | 4 ECTS | ||