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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 enable students to use mathematics subjects 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
1-Akdeniz, F. ,Dönmez, D. Temizyürek, A. et al. 2003. Temel Matematik. Nobel Press. Adana 2-H.BULUT, 2005, Temel ve Genel Matematik, Ertem Basım Yayın.
Notes
Adana Meslek Yüksekokulu Press, Matematik-II lecture notes,L.SANGÜN,A.EKİCİBİL
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 | The student acquires the modern knowledge required by the automotive industry. | 2 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The student learns how to set up and manage a business. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | The student procures the necessary knowledge about occupational safety, organization and management. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | The student acquires basic technical drawing knowledge. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | The student reaches the level of maintenance, repair and mechanical operations of engines. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | The student knows the effective use of energy and energy. | 2 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | The student performs maintenance and repair of motion control systems. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | The student measures vehicle and engine parts. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | The student makes algebraic applications related to his/her profession. | 3 |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | The student understands the importance of lifelong learning by following scientific and technological developments. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | The student learns the application of ergonomics to the automotive industry. | |
| PLO12 | Beceriler - Bilişsel, Uygulamalı | The student comprehends the circuit elements and diagrams of hydraulic-pneumatic systems. | |
| PLO13 | Bilgi - Kuramsal, Olgusal | The student uses technical foreign language effectively. | |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | The student explains the basic principles and concepts related to engine test and adjustment. | |
| PLO15 | Beceriler - Bilişsel, Uygulamalı | The student performs motor material deformation and material inspection. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | The student learns corrosion and corrosion protection methods. |
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 | Repetition of the topics covered up to this week | 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 | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | 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 |
| 14 | 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 |
| 15 | Solving exam preparation questions about matrix | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Repetition of the topics covered up to this week | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Repetition of the topics covered up to this week | 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 | ||