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Information
| Code | OTP132 |
| Name | Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 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 |
Course Goal / Objective
To ensure that the student uses mathematics subjects in his profession
Course Content
Preliminaries, functions, limit and continuity, derivative, applications 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
Adana Meslek Yüksekokulu yayınları matematik-II ders notu,L.SANGÜN,A.EKİCİBİL
Notes
1-Akdeniz, F. ,Dönmez, D. Temizyürek, A. ve Ark. 2003. Temel Matematik. Nobel kitabevi. Adana 2-H.BULUT, 2005, Temel ve Genel Matematik, Ertem Basım Yayın.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the concept of function, recognizes function types and makes their applications. |
| LO02 | Recognizes complex numbers and performs arithmetic operations |
| LO03 | Recognize the concept of trigonometry and apply it on the coordinate plane |
| LO04 | Knows the concepts of limit continuity in functions and applies the rules of differentiation. |
| LO05 | Compares the physical and geometric meaning of the derivative. Performs differentiation of trigonometric and exponential functions. |
| LO06 | Applies integration methods |
| LO07 | Knows the concept of matrix, special matrices, matrix properties and performs arithmetic operations with matrices. |
| LO08 | Knows the concept of determinant and applies it in equation solutions |
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. | 4 |
| 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 | Function Definition Definition, Value and Image Set Piecewise Function Absolute Value Function | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Operations on Functions Function Types (Unit, Constant, One-to-One, onto, Into) Function Graphs | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Complex Number Definition Powers of i Equality of Two Complex Numbers | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Complex Plane conjugate of a complex number absolute value of a complex number four operations on complex numbers | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Trigonometric Ratios of Acute Angles sin, cos, cot, tan Functions and Properties Angle Measurement Units | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Definition of Limit and Continuity Concepts of Right and Left Limits Limits of Polynomial Functions Limit Graphs | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Derivative Definition and Properties | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Review of the topics covered so far this week | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivative of Trigonometric Functions Derivative of Exponential Functions Derivative Applications | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Integral Definition and Properties Definite Integral, Indefinite Integral Calculation Partial Integration and Variable Substitution | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Integration of Trigonometric Functions Integration of Exponential Functions | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Integral Applications | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Matrix Definition Matrix Types (Zero, Square, Unit) Transpose of the Matrix Four Operations on Matrices Power of the Matrix | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Determinant of a Matrix, Minor (Cofactor), Determinant Properties, Adjoint Matrix, Inverse of a Matrix According to Multiplication | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Solving exam preparation questions about matrix | Reading course-related resources | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Review of the topics covered so far this week | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Review of the topics covered so far 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 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||