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Information
| Code | MIM102 |
| Name | General Mathematics 2 |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
Course Goal
To learn derivative and integral
Course Content
Rules of derivative and integral of numerous functions and applications
Course Precondition
none
Resources
Çözümlü Matematik Problemleri Analiz-2 (2002, Bekir Özçelik, Fikri Akdeniz, Atilla Coşkun, Ahmet Ekicibil). Integral ve Uygulamaları (2003, Bekir Özçelik, Fikri Akdeniz, Atilla Coşkun, Ahmet Ekicibil. Genel Matematik (2001 Yalçın Küçük, Mehmet Üreyen, Nevin Orhun,Musa Şenel, Orhan Özer, Hüseyin Azcan)
Notes
related publications.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows basis and rules of derivative |
| LO02 | Makes calculations related to derivative applications. |
| LO03 | Makes integral calculations at different levels. |
| LO04 | Performs partial integral calculations. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Beceriler - Bilişsel, Uygulamalı | Uses digital technologies and three-dimensional models in architectural technical drawings and presentations in order to express the design idea with appropriate methods. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Knows the basic principles of how building elements, building components and building materials joins with another in design based on their properties. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Explains the basic principles of service systems consisting of vertical and horizontal circulation elements, installation, infrastructure, communication, security and fire systems. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | Independently carries out a study in the field of architecture for which plan, technical specifications and project individually prepared. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Uses architectural design principles regarding information about elements such as environment, people and culture in the relationship between function and form in design, at the level of building, interior, immediate surroundings and urban design. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Develops an architectural project with a comprehensive plan from the design phase to the application project phase (structural and environmental systems, safety issues, separators, regulations etc.). | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Creates solutions based on the basic principles of lighting, acoustics, insulation, air conditioning and energy use in the design of environmental systems. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Uses the knowledge of the development of contemporary structural systems and load-bearing system applications in the selection of the structure system based on the principles of behavior of the structure against vertical and lateral loads. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Uses sustainability principles in architectural design to protect artificial resources, including naturally and culturally important buildings and areas, and to create healthy buildings and settlements. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Uses the design knowledge that produced based on data tools, sample applications, data collection methods, evaluations, definitions and comparisons in the field of architecture. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Prepares documentation and restoration projects of historical buildings and monuments with the necessary techniques, in accordance with the characteristics of the historical environment. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes responsibility in solving problems individually or as a team member, plans and manages activities concerning the development of subordinates. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | In the building production process; issuing the building quantity, estimating the building cost and controlling the cost of the building by associating it with the work schedule, preparing documents that can protect the interests of the parties during professional studies-applications (Tender, contract, etc.). | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Uses relevant databases to access information by determining learning needs in the context of professional, cultural and artistic development with the motivation of lifelong learning. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Uses design knowledge for sustainability purposes based on social awareness regarding architecture. | |
| PLO16 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Effectively uses written and oral communication skills, follows and organizes seminars and meetings in the field of architecture, prepares projects and follows foreign publications using foreign language skills. | |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Understanding ethical values in architecture, designing for the benefit of society, respecting history and culture, knowing its professional and human responsibilities towards nature. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Synthesize the data by taking into account the effects of human, social and environmental conditions in architectural design and planning processes. | |
| PLO19 | Yetkinlikler - Öğrenme Yetkinliği | Understands the role of training, right and liabilities of employer and trainee in career development. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Derivatives and its rules | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 2 | Logarithmic derivative | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 3 | Applications of derivative (Slope, maximum-minimum problems) | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 4 | Basis of Integral | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 5 | Substitute method | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 6 | Partial integral method | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 7 | Exercises | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 8 | Mid term exam | MI-101 course must be taken | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Integral of logarithmic functions | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 10 | Integral of rational functions | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 11 | Integral of rational functions by seperating to simple fractions | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 12 | Integral of trigonometric functions | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 13 | Definite Integral | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 14 | Area applications of definite integral | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 15 | Solved exercises | MI-101 course must be taken | Öğretim Yöntemleri: Anlatım |
| 16 | Final exam | repaeting the topics | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final exam | repaeting the topics | 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 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 10 | 10 |
| Total Workload (Hour) | 86 | ||
| Total Workload / 25 (h) | 3,44 | ||
| ECTS | 3 ECTS | ||