Course Information

Course Name	Turkish	Matematik II
	English	Mathematics II
Course Code	MAT 188	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	5	4	2	-
Course Language		Turkish
Course Coordinator		Güler Arsan
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		Polar Coordinates, Vectors in Space, Vector-Valued Functions, Multi variable Functions and Partial Derivatives, Multiple Integrals,Infinite Sequences and Series,
Course Outcomes		Students completing this course will be able to : I. Determine the convergence of sequences and series compute the radius of convergence of power series, II. Represent a known function as a Taylor series; approximate a known function with a Taylor polynomial and determine the error involved., III. Compute the standard representation of a vector in 3-space, compute the dot product and cross 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 variable functions and the concepts of continuity, differentiation, and integration in vector-valued functions, V. Understand the multivariable functions, analyze limits, determine continuity, and compute partial derivatives of them; find tangent planes, directional derivatives, gradients; apply the second partials test, and Lagrange multipliers to approximate and solve optimization problems. VI. Compute multiple integrals and use multiple integrals when calculating area and volume
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