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Course Information
Course Name
Turkish
Matematik I
English
Mathematics I
Course Code
MAT 103E
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester

4
3
2

Course Language
English
Course Coordinator
Ayşegül Tepe
Course Objectives
To provide the concepts of functions, limits, continuity, differentiation and integration.
To provide the applications of differentiation and integration.
To give an ability to apply knowledge of mathematics on engineering problems.
Course Description
Functions of a Single Variable, Limits and Continuity, Derivatives, Applications of Derivatives, Sketching Graphs of Functions, Asymptotes, Integration, Fundamental Theorem of Calculus, Transcendental Functions, Techniques of Integration, Indeterminate Forms, L'Hôpital's Rule, Improper Integrals, Applications of Integrals
Course Outcomes
Students completing this course will be able to:
Compute the limit of various functions, use the concepts of the continuity, use the rules of differentiation to differentiate functions,
Set up maxmin problems and use differentiation to solve them,
Evaluate definite integrals by using the Fundamental Theorem of Calculus and apply integration to compute areas, surface areas ,volumes and arclength,
Work with transcendental functions and evaluate integrals using techniques of integration,
Use L’Hôpital’s Rule to calculate limits of single functions and determine the convergence of Improper Integrals evaluate convergent Improper Integrals.
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