COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Mathematics I * TYP   129 1 2 3 4

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof. Dr. Zerrin Gül ESMERLİGİL
Instructors
Prof. Dr.ZERRİN GÜL ESMERLİGİL1. Öğretim Grup:A
 
Assistants
Goals
Sets and number sets, Functions, Limits, Derivatives and derivative rules.
Content
To be able to understand the basic properties of limit, continuity and derivative, to draw graphs of functions.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Makes aplication of engineering design of irrigation systems and conducts tests about the materıals used ın these systems and preapares reports
X
2
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 suita
X
3
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.
X
4
Designs crop production systems, controls environmental domestic conditions and operates, makes the selection of materials to be used, tests and prepares a report.
X
5
Designs and projects small dams, ponds. Prepares and implements flood action plans within the scope of integrated watershed management.
6
Developes and implement s strategies of sustainable water management for the purposes of protecting water resources and agricultural production.
X
7
Developes and implements irrigation programmes using the soil-plant-water relations and soil engineering properties
X
8
Prepares land consolidation projects and applies. Provides farm developing systems. Prepares and implements rural development projects.
X
9
Exposes the problems about soil and water conservation (erosion) and water harvesting, prepares and implements the project.
X
10
Etudes drainage of agricultural lands, plans drainage systems,prepares projects and makes aplications, selects materials to be used, tests and prepares a report
X
11
Plans activities related to operation, maintenance and repairs irrigation network,developes project formulations in monitoring and evaluations, operates the irrigation networks.
X
12
Works independently and takes responsibility
X
13
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 .
X
14
Creates effective solutions for sustainable agricultural production
X
15
Accesses to the resources in the field, uses of these resources and continuous self-improvement
X
16
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 .
X
17
Has the ability to analyze problems ,make decisions and solve about professional subjects
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Numbers. Rational and real numbers. Absolute value. Number axis. Spacing. Inequalities. Study the related chapter in the book
2 Functions. Finding Definition and Image Clusters. Compound, Inverse Function. Graphics. Trigonometric Functions Study the related chapter in the book
3 Increasing, decreasing functions. Inverse function. Graphic. Closed functions. Study the related chapter in the book
4 Trigonometric functions. Problem solving Study the related chapter in the book
5 Limit on univariate functions. Properties of limits, One-sided limits. Study the related chapter in the book
6 Infinite limits. Continuity. Study the related chapter in the book
7 Features of continuous functions. Problem solving. Derivative, tangential slope. Study the related chapter in the book
8 Mid-term exam Mid-term exam
9 Chain rule. Higher order derivatives. Derivation of inverse functions. The physical meaning of the derivative. Study the related chapter in the book
10 Inverse trigonometric functions and their derivatives. Problem solving. Study the related chapter in the book
11 Rolle Theorem, Mean Value Theory. Maximum, minimum finding. 1st and 2nd derivative tests. Study the related chapter in the book
12 Second derivative and convexity. Asymptotes. Drawing graphics. Study the related chapter in the book
13 Maximum, minimum problems. Study the related chapter in the book
14 Exponents, derivatives of logarithmic functions Study the related chapter in the book
15 Uncertainties and L Hopital rule Study the related chapter in the book
16-17 Final exam Final exam

Recommended or Required Reading
Textbook
Additional Resources