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Information
| Unit | FACULTY OF ARCHITECTURE |
| ARCHITECTURE PR. | |
| 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 |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HATİCE ÇAĞATAY |
| Course Instructor |
Prof. Dr. HATİCE ÇAĞATAY
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
It is the acquisition of skills in calculating derivatives of logarithmic functions, solving indefinite integral problems with partial integration and substitution methods, and calculating 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. |
| LO02 | Makes derivative calculations of logarithmic functions. |
| LO03 | Solves indefinite integral problems with the partial integration method |
| LO04 | Performs integral calculations of logarithmic functions. |
| LO05 | Performs integral calculations of rational functions. |
| LO06 | Calculate area problems using the definite integral method. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explains the change and development of architectural examples within historical and cultural processes within local, regional and global frameworks. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains the basic principles of service systems consisting of vertical and horizontal circulation elements, installation, infrastructure, communication, security and fire systems. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Uses the knowledge of the development of contemporary carrier systems and carrier system applications in the selection of the structure system based on the principles of behavior of the structure against vertical and lateral loads. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Knows the basic principles of how building elements, building components and building materials come together in design based on their properties. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Evaluates the design knowledge of elements such as environment, people and culture in the function-form relationship in design from a critical and innovative perspective and interprets it at the level of building, interior, immediate surroundings and urban design. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Produces solutions based on the basic principles of lighting, acoustics, insulation, air conditioning and energy use in the design of environmental systems. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Uses sustainability principles in architectural design decisions to protect natural and cultural resources and to create healthy buildings and settlements. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Uses digital technologies and three-dimensional models in architectural technical drawing and presentation in order to express the design idea with appropriate methods. | |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Develops an architectural project with a comprehensive program from the sketch stage to the application project stage (structural and environmental systems, security, partition systems, regulations, etc.). | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Produces designs 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 | Independently carries out a study in the field of architecture for which she individually prepares her plan, technical specifications and project. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Takes responsibility individually or as a team member in solving the problems he/she encounters, and manages and plans activities for the development of the employees under his/her responsibility. | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | In the building production process; It prepares documents (tender, contract, etc.) that can protect the interests of the parties while carrying out professional studies and applications regarding the preparation of the building cost along with the building quantity survey, building cost estimate and work schedule. | |
| 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 data for sustainability purposes based on social awareness regarding architecture. | |
| PLO17 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | She/he is competent in establishing effective written and verbal communication regarding the field of architecture, monitoring and organizing seminars and meetings related to architecture, preparing projects and following foreign publications based on her/his knowledge of foreign languages. | |
| 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 | Synthesizes the data it collects by taking into account the effects of human, social and environmental conditions in architectural design and planning processes. | |
| PLO20 | Yetkinlikler - Öğrenme Yetkinliği | Fulfills the role of internship in professional development/the rights and responsibilities of the employer and the intern. |
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, Soru-Cevap |
| 3 | Applications of derivative (Slope, maximum-minimum problems) | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 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, Alıştırma ve Uygulama |
| 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, Alıştırma ve Uygulama |
| 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, Problem Çözme |
| 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, Alıştırma ve Uygulama |
| 15 | Solved exercises | Review of previous lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 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 |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | ||