OTP132 Mathematics II

3 ECTS - 2-0 Duration (T+A)- 2. Semester- 2 National Credit

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

Update Time: 10.05.2024 10:11