COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Calculus I * EEE   103 1 4 4 5

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. Hayrullah AYIK
Instructors
Prof.Dr.HAYRULLAH AYIK1. Öğretim Grup:A
Prof.Dr.HAYRULLAH AYIK2. Öğretim Grup:A
 
Assistants
Goals
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity.
Content
Limit, precise definiton of limit, limit at infinity. Derivative concept, derivative definition, differentiation rules, implicit differentiation, related rates. Maxima and minima, concavity, curve sketching, optimization. Area problem, definite integral, fuındamental theorem of Calculus, subsitution rule. Transcendental functions, their derivatives and integrals, indeterminate limits and L Hospital rule. Integration by parts and other iintegration techniques.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Has capability in those fields of mathematics and physics that form the foundations of engineering.
2
Grasps the main knowledge in the basic topics of electrical and electronic engineering.
3
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering.
X
4
Identifies problems and analyzes the identified problems based on the gathered professional knowledge.
5
Formulates and solves a given theoretical problem using the knowledge of basic engineering.
X
6
Has aptitude for computer and information technologies
7
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English.
X
8
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices.
9
Has the ability to write a computer code towards a specific purpose using a familiar programming language.
10
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared.
X
11
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently.
X
12
Becomes able to communicate with other people with a proper style and uses an appropriate language.
13
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general.
14
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Introduction to functions
2 Limit concept, limit definition
3 Limit at infinity, infinity as a limit, continuity
4 Tangent problem, derivative definition
5 Derivative rules, derivatives of trigonometric functions
6 Chain rule, higher order derivatives, implicit differentiation
7 Curve sketching, applied optimization problems
8 Mid-Term Exam
9 Area problem, definite integral and its properties
10 Fundamental Theorem of Calculus, indefinite integral, substitution rule
11 Exponential and logarithmic functions
12 Inverse trigonometric functions, indeterminate limits and L Hospital rule
13 Integration by parts, trigonometric integrals, trigonometric substitution
14 Integration of rational functions, rationalizing substitutions
15 Review
16-17 Term Exams

Recommended or Required Reading
Textbook
Additional Resources
Internet bazlı kaynaklar