TÜRKÇE
ENGLISH
Information
| Code | TBZ102 |
| Name | Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 4-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 4 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 | Öğr. Gör. MEHMET ÜLGÜ |
| Course Instructor |
Öğr. Gör. MEHMET ÜLGÜ
(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
No preconditions
Resources
Instructor Lecture Notes; Mehmet ULGU
Notes
Basic Mathematics 2 (Author: Hidayet Sulak)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the concept of equations and inequalities. |
| LO02 | Comprehends the Factorization. |
| LO03 | Solves mathematical problems. |
| LO04 | Know the concept of matrices. |
| LO05 | Knows the concept of complex numbers. |
| LO06 | Knows the concept of Logarithm. |
| LO07 | Knows the concept of Derivative. |
| LO08 | Knows the concept of Integral. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Uses mathematics, basic sciences and technical knowledge in the field of Electricity Production, Transmission and Distribution. | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Compares the qualities of basic electrical and electronic elements to decide on suitable equipment. | |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | Determines the fault in the field using the necessary measuring devices and methods. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Performs analysis by making connections of electrical circuits. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | It uses components that provide energy types and transformations in project development and problem solving. | 4 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Designs and analyzes electrical circuits using computer programs related to his/her field in line with technological developments. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Develops computer software for applications in the field by following developments in programming languages. | |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Controls a system or process with microprocessor-based control devices. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Performs maintenance, repair and assembly operations related to its field. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Establishes cause and effect relationships in the field of profession in the light of the theoretical and experimental knowledge acquired. | |
| PLO11 | Yetkinlikler - Alana Özgü Yetkinlik | Communicates effectively and works independently in a multi-disciplinary team. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | She/He constantly improves herself in matters related to her profession in order to provide the quality service that the sector needs. | |
| PLO13 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses information and communication technologies in the field effectively. | |
| PLO14 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Have knowledge and awareness of occupational safety, occupational health, first aid and environmental protection. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Respects historical values, has social responsibility, universal, social and professional ethical awareness. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Section 1 Functions: Function description definition, value and set of images split function absolute value function | No advance preparation is necessary. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Section 2 Functions: Functions in functions, function types (unit, constant, one-to-one, enclosing), function graphs | Research on the subject. | Öğretim Yöntemleri: Anlatım, Problem Çözme, Beyin Fırtınası |
| 3 | Section 1 Complex Numbers: Complex number definition, force of number, equality of two complex numbers | Examining subject examples | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Section 2 Complex Numbers: Complex plane, conjugate of a complex number, absolute value of a complex number, four operations in complex numbers | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Trigonometric ratios of narrow angles sin, cos, cot, tan functions and properties | Reading course resources | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 6 | Function distributions on unit circle angle measurement units | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Definition of limit and continuity, right and left limit concepts L'hospital rule | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Limits of polynomial functions limit charts | Examining question solutions from resources related to courses. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Derivative: Derivative definition and properties | Examining question solutions from resources related to courses. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Derivative: Derivative applications of derivative exponential functions of trigonometric functions | Studying the solutions of questions from the textbook. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Grup Çalışması |
| 12 | Integral: Definition and properties of integral, integral, indefinite integral calculus part integration and variable replacement | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Integral: Integral of trigonometric functions Integral integral applications of exponential functions | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 14 | Section 1 Matrix - Determinant: Definition of matrix, matrix types (zero, square, unit), transpose of the matrix, four operations in matrices, determinant of the matrix, minor (cofactor) determinant properties | Research on the subject. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Problem Çözme |
| 15 | Section 2 Matrix - Determinant: Definition of matrix, matrix types (zero, square, unit), transpose of the matrix, four operations in matrices, determinant of the matrix, minor (cofactor) determinant properties | Measurement methods for the course week. | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| 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 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 108 | ||
| Total Workload / 25 (h) | 4,32 | ||
| ECTS | 4 ECTS | ||