|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 Coordinator||Prof. Dr. Hayrullah AYIK|
To teach the student the topics of limit, derivative and integral, which are the main topics of engineering mathematics, in a functional integrity.
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.
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Has capability in those fields of mathematics and physics that form the foundations of engineering.
Grasps the main knowledge in the basic topics of electrical and electronic engineering.
Comprehends the functional integrity of the knowledge gathered in the fields of basic engineering and electrical-electronics engineering.
Identifies problems and analyzes the identified problems based on the gathered professional knowledge.
Formulates and solves a given theoretical problem using the knowledge of basic engineering.
Has aptitude for computer and information technologies
Knows English at a level adequate to comprehend the main points of a scientific text, either general or about his profession, written in English.
Has the ability to apply the knowledge of electrical-electronic engineering to profession-specific tools and devices.
Has the ability to write a computer code towards a specific purpose using a familiar programming language.
Has the ability to work either through a purpose oriented program or in union within a group where responsibilities are shared.
Has the aptitude to identify proper sources of information, reaches them and uses them efficiently.
Becomes able to communicate with other people with a proper style and uses an appropriate language.
Internalizes the ethical values prescribed by his profession in particular and by the professional life in general.
Has consciousness about the scientific, social, historical, economical and political facts of the society, world and age lived in.
|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|
|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|
|Recommended or Required Reading|
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