MIM102 General Mathematics II

3 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

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
Prof. Dr. HATİCE ÇAĞATAY (A Group) (Ins. in Charge)


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

Update Time: 16.07.2024 11:25