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Information
| Code | MIM102 |
| Name | General Mathematics II |
| Term | 2024-2025 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 | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
1 2 |
Course Goal / Objective
It aims to provide students with the skills of calculating the derivatives of logarithmic functions, solving indefinite integral problems with partial integration and substitution methods, and calculating the integrals of logarithmic, rational and trigonometric functions.
Course Content
The content of this course consists of derivative and logarithmic derivative applications, integral and partial integral calculations, integral calculations of logarithmic, rational and trigonometric functions and definite integral calculations.
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 | Makes derivative calculations of logarithmic functions. |
| LO02 | Solves indefinite integral problems with the partial integration method |
| LO03 | Performs integral calculations of logarithmic functions. |
| LO04 | Performs integral calculations of rational functions. |
| LO05 | Calculate area problems using the definite integral method. |
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 | Understands changes and developments of architectural examples within historical and cultural processes within local, regional and global frameworks. | |
| PLO03 | 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. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains the basic principles of service systems consisting of vertical and horizontal circulation elements, installation, infrastructure, communication, security and fire systems. | |
| PLO05 | 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 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Explains the basic principles of how building elements, building components and building materials joins with another in design based on their properties. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Interprets the design knowledge about elements such as environment, people and culture in the function-form relationship in design from a critical and innovative perspective and uses it at the level of building, interior, immediate surroundings and urban design. | |
| PLO08 | 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. | |
| PLO09 | 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.). | |
| 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 - Alana Özgü Yetkinlik | Independently carries out a study in the field of architecture for which plan, technical specifications and project individually prepared. | |
| PLO13 | 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. | |
| PLO14 | 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.). | |
| PLO15 | 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. | 3 |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Uses design knowledge for sustainability purposes based on social awareness regarding architecture. | |
| PLO17 | 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. | |
| PLO18 | 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. | |
| PLO19 | 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. | |
| PLO20 | Yetkinlikler - Öğrenme Yetkinliği | Accepts 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 | no preparation | Öğretim Yöntemleri: Anlatım |
| 2 | Logarithmic derivative | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Applications of derivative (Slope, maximum-minimum problems) | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 4 | Basis of Integral | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 5 | Substitute method | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 6 | Partial integral method | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 7 | Exercises | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 8 | Mid term exam | Review of previous lecture notes and solved problems | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Integral of logarithmic functions | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 10 | Integral of rational functions | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 11 | Integral of rational functions by seperating to simple fractions | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 12 | Integral of trigonometric functions | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 13 | Definite Integral | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 14 | Area applications of definite integral | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 15 | Solved exercises | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım |
| 16 | Final exam | Review of all topics and new problem solving | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final exam | Review of all topics and new problem solving | 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 | ||