TYP129 Mathematics I

4 ECTS - 2-2 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code TYP129
Name Mathematics I
Term 2023-2024 Academic Year
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 Instructor Doç. Dr. SİBEL AKÇA ÖZALP (A Group) (Ins. in Charge)


Course Goal / Objective

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. Defines functions
LO02 Define limits and properties. Defines continuous
LO03 Solves problems by using some features of continuous functions. Defines derivative
LO04 Defines continuous. Defines functions


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 Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 10 10 100
Out of Class Study (Preliminary Work, Practice) 2 2 4
Assesment Related Works
Homeworks, Projects, Others 1 1 1
Mid-term Exams (Written, Oral, etc.) 1 1 1
Final Exam 1 1 1
Total Workload (Hour) 107
Total Workload / 25 (h) 4,28
ECTS 4 ECTS

Update Time: 06.05.2023 08:40