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MAT 185
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Course Weekly Lecture Plan
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Course Information
Course Name
Turkish
Matematik I
English
Mathematics I
Course Code
MAT 185
Credit
Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester
1
4
3
2
-
Course Language
Turkish
Course Coordinator
Fatma Özdemir
Course Objectives
1.To provide the concepts of functions, limits, continuity, differentiation and integration.
2.To provide the applications of differentiation and integration.
3.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,Applications of Integrals, Transcendental Functions, Techniques of Integration, IndeterminateForms, L'Hôpital's Rule, Improper Integrals
Course Outcomes
Students completing this course will be able to:
I.Compute the limit of various functions, use the concepts of the continuity, use the rules ofdifferentiation to differentiate functions,
II.Set up max/min problems and use differentiation to solve them,
III.Evaluate definite integrals by using the Fundamental Theorem of Calculus and applyintegration to compute areas, surface areas ,volumes and arc length,
IV.Work with transcendental functions and evaluate integrals using techniques of integration,
V.Use L'Hôpital's Rule to calculate limits of single functions and determine the convergence ofImproper Integrals evaluate convergent Improper Integrals
Pre-requisite(s)
Required Facilities
Other
Textbook
Thomas' Calculus, 13th edition, G. B. Thomas, R. L. Finney, M. D. Weir, F. R. Giordano, Addison-Wesley.
Other References
James Stewart, Calculus, 8th edition, Cengage Learning, 2015.
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