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Information
| Code | MIM102 |
| Name | General Mathematics II |
| Term | 2022-2023 Academic Year |
| 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 | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
Prof. Dr. HATİCE ÇAĞATAY
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
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 | Bilgi - Kuramsal, Olgusal | Being able to make architectural technical drawings and presentations, using digital technologies, and making three-dimensional models. Be able to express the design idea with appropriate methods and using visual communication techniques. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Understanding the use of building elements, building components and building materials, interpreting their properties at the scale of elements, components, and materials, choosing the appropriate one in design, and understanding the basic principles of their convergence in practice. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | To be able to explain and analyze the basic principles of service systems consisting of vertical and horizontal circulation elements, installation, infrastructure, communication, security, and fire systems. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Individually planning, projecting and executing any work related to the field of architecture, preparing technical documents, consulting and being an expert. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Understanding, interpreting, explaining the effects of elements such as the environment, people, and culture in the function-form relationship in design, using architectural principles at the level of building, interior space, its surroundings, and urban design. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Develops, evaluates, and applies an architectural project with a comprehensive plan from the design phase to the phase of the application project (structural and environmental systems, safety issues, separators, regulations etc.). | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Explain, evaluates and analyzes the basic principles of lighting, acoustics, insulation, air conditioning and energy use in the design of environmental systems. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Understanding the behavior principles of structures against vertical and lateral loads, explaining the developments of contemporary structural systems, and interpreting the applications of structural systems, choosing and using the appropriate structural system. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Understanding and using the principles of sustainability in the architectural design decisions of the conservation of artificial resources, including natural and culturally important buildings and areas, and the creation of healthy buildings and settlements. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Proposal development by synthesizing the data by the evaluation, definition, and comparison of the Data collected from data tools and sample applications in the field of architecture. | |
| PLO11 | Beceriler - Bilişsel, Uygulamalı | Defines historical environment, prepares documents on historical monuments and sites in historical settings and uses required techniques for the preparation of restoration projects. | |
| 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 | Defines the educational needs in the field of architecture, undertakes literature review, reaches knowledge, and uses databases, ensuring professional, cultural and artistic development with lifelong learning motivation. | |
| PLO15 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Generates public awareness in the field of architecture, and acquires sustainable use of design parameters. | |
| 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 the ethical values in architecture, understanding the professional and human responsibility towards nature, respecting history and culture, and taking into account the benefit of society. | |
| PLO18 | Yetkinlikler - Alana Özgü Yetkinlik | Collects, evaluates and interprets data to understand the impact 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 | ||