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Course Information

Course Name
Turkish Matematik I
English Mathematics I
Course Code
MAT 103E Credit Lecture
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 max-min 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.
Required Facilities
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