Course Information

Course Name	Turkish	Matematik II
	English	Mathematics II
Course Code	MAT 104E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	4	3	2	-
Course Language		English
Course Coordinator		İbrahim Kırat
Course Objectives		1. To provide the concepts and applications of the convergence of sequences and infinite series . 2. To provide the applications of partial differentiation and multiple integrals. 3. To give an ability to apply knowledge of mathematics on engineering problems.
Course Description		Infinite Sequences and Series, Polar Coordinates, Vectors in Space, Vector-Valued Functions,Multivarible Functions and Partial Derivatives, Multiple Integrals
Course Outcomes		Students completing this course will be able to: I. Determine the convergence of sequences and series compute the radius of convergence ofpower series, II. Represent a known function as a Taylor series; approximate a known function with a Taylorpolynomial and determine the error involved, III. Compute the standard representation of a vector in 3-space, compute the dot product andcross product of vectors; write equations of lines, planes and quadric surfaces in 3-space, IV. Calculate areas of plane regions and lengths of curves in polar coordinates in one variablefunctions and the concepts of continuity, differentiation, and integration in vector-valuedfunctions, V. Understand the multivariable functions, analyze limits, determine continuity, and computepartial derivatives of them; find tangent planes, directional derivatives, gradients; apply thesecond partials test, and Lagrange multipliers to approximate and solve optimizationproblems, VI. Compute multiple integrals and use multiple integrals when calculating area and volume.
Pre-requisite(s)
Required Facilities
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Textbook		Thomas' Calculus (12th Edition), G. B. Thomas, M. D. Weir, J. R. Hass, (2009) Pearson.
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