Course Information

Course Name	Turkish	Matematik II
	English	Mathematics 2
Course Code	MAT 188	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	5	4	2	-
Course Language		Turkish
Course Coordinator		Semra Ahmetolan
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, Multivarible Functions and Partial Derivatives , Inverse Function Theorem, Implicit Function Theorem, Multiple Integrals, Infinite sequences and Series
Course Outcomes		Students completing this course will be able to : I. Compute limits of sequences and series; determine the convergence of the series and 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. Calculate areas of plane regions and lengths of curve in polar coordinates. IV. 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. V. Use the concepts of continuity, differentiation, and integration of vector-valued functions. VI. 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. VII. Compute multiple integrals over rectangular regions, non-rectangular regions, and in other coordinate systems ; apply multiple integrals in problem situations involving area, volume, surface area etc.
Pre-requisite(s)		MAT 187 MIN DD/MAT 187E MIN DD/MAT103 MIN DD / MAT103E MIN DDMAT101E MIN DD/MAT 101 MIN DD/MAT110 MİN DD/MAT 110E MIN DD
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