TÜRKÇE
ENGLISH
Information
| Code | TYP129 |
| Name | Mathematics I |
| Semester | 1. Semester |
| Duration (T+A) | 2-2 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NERGİZ POYRAZ |
Course Goal
Sets and number sets, Functions, Limits, Derivatives and derivative rules.
Course Content
To be able to understand the basic properties of limit, continuity and derivative, to draw graphs of functions.
Course Precondition
No prerequisites
Resources
General Mathematics, Prof. Dr. Ekrem Kadıoğlu, Prof. Dr. Mohammed Kamali.
Notes
General Mathematics, Prof. Dr. Ekrem Kadıoğlu, Prof. Dr. Mohammed Kamali.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Define number sets |
| LO02 | Defines functions |
| LO03 | Define limits and properties |
| LO04 | Defines continuous |
| LO05 | Solves problems by using some features of continuous functions. |
| LO06 | Defines derivative |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Developes and implements strategies for wastewater, drainage water, runoff water such as treated waste water re-use of non-conventional water without adversely affecting the environment, makes laboratory analysis about saline alkali soils and water suitability to irrigation and reports. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Prepares project about soil and water structures, animal houses, storage structures and crop production structures. Analyzes in terms of static and strength. Determines the properties of materials used in construction and makes the relevant tests. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Works independently and takes responsibility | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Has the ability to design and apply analytical, modelling and experimental researches,and acquires the skill of analyzing and interpreting the complex issiues occured during this process . | 4 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Creates effective solutions for sustainable agricultural production | 5 |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Accesses to the resources in the field, uses of these resources and continuous self-improvement | 4 |
| PLO16 | Yetkinlikler - Alana Özgü Yetkinlik | Developes projects to protect natural resources like water,and offers the benefit to society, using the information of basic engineering, basic agricultural engineering and agricultural structures and irrigation engineering . | 2 |
| PLO17 | Yetkinlikler - Alana Özgü Yetkinlik | Has the ability to analyze problems ,make decisions and solve about professional subjects | 5 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers. Rational and real numbers. Absolute value. Number axis. Spacing. Inequalities. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Bireysel Çalışma |
| 2 | Functions. Finding Definition and Image Clusters. Compound, Inverse Function. Graphics. Trigonometric Functions | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Alıştırma ve Uygulama, Örnek Olay, Problem Çözme |
| 3 | Increasing, decreasing functions. Inverse function. Graphic. Closed functions. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Gösterip Yaptırma, Benzetim, Örnek Olay, Problem Çözme |
| 4 | Trigonometric functions. Problem solving | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Limit on univariate functions. Properties of limits, One-sided limits. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme |
| 6 | Infinite limits. Continuity. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Features of continuous functions. Problem solving. Derivative, tangential slope. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | Mid-term exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Chain rule. Higher order derivatives. Derivation of inverse functions. The physical meaning of the derivative. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 10 | Inverse trigonometric functions and their derivatives. Problem solving. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Rolle Theorem, Mean Value Theory. Maximum, minimum finding. 1st and 2nd derivative tests. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 12 | Second derivative and convexity. Asymptotes. Drawing graphics. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Benzetim, Problem Çözme |
| 13 | Maximum, minimum problems. | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 14 | Exponents, derivatives of logarithmic functions | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Uncertainties and L Hopital rule | Study the related chapter in the book | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 16 | Term Exams | Final exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exam |