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Information
| Code | CKZ114 |
| Name | Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Dr. Öğr. Üyesi SERKAN AYDINLI |
| Course Instructor |
1 2 |
Course Goal / Objective
Explanation of the physical and mathematical meaning of derivative and integral
Course Content
Applications of definite integral; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication).Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses.
Course Precondition
None
Resources
BALCI, M., 1999. General Mathematic.
Notes
Lecture notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To use the knowledge of application of mathematics, science and engineering. |
| LO02 | To identify, formulate, and solve engineering problems. |
| LO03 | To be able to use and transform coordinate systems during problem solving |
| LO04 | To be able to perform integral calculations |
| LO05 | Kutupsal koordinat sistemlerinin tanır |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Student become equipped with the basic knowledge of math, science and engineering | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Students gain a command of basic concepts, theories and principles in chemical engineering | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Students are able to design and carry out experiments in the basic fields of chemical engineering, and interpret the results and the data obtained from the experiments | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Students become equipped with a variety of skills and knowledge regarding engineering techniques | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Students take initiative in identification, design, development and use of a product or production process | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Students become aware of the necessity of lifelong learning and continuously self-renew | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students use Turkish effectively for technical or non-technical topics orally or in wirtten form, and at least one foreign language | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students become effective in using computer, computer-aided drafting, design, analysis, and presentation | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team | 3 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definite Integral and Its Applications (Area) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Integral Applications (Volume, Arc Length, Surface Area, Momentum ...) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Polar Coordinates and Parametric Systems | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Polar Coordinate System (Area, Arc Length, Surface Area) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Generalized integrals | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Vectors, Matrices | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Determinants | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Solving Systems of Linear Equation | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 10 | Homogeneous Linear Equation Systems | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Eigen values and Eigen vectors | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Lines and Planes in Space | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Transformation of coordinate axes | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Multiple Integrals and Applications-I | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Multiple Integrals and Applications-II | Read the related topics in the lecture notes and reference books | Ölçme Yöntemleri: Yazılı Sınav |
| 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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 4 | 4 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 4 | 4 |
| Final Exam | 1 | 4 | 4 |
| Total Workload (Hour) | 124 | ||
| Total Workload / 25 (h) | 4,96 | ||
| ECTS | 5 ECTS | ||