Course Information

Course Name	Turkish	Matematik II
	English	Mathematics II
Course Code	MAT 186	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	4	3	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		Infinite Sequences and Series. Polar Coordinates. Vectors in Space, Vector-Valued Functions. Multivariable 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 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. Use the concepts of 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.
Pre-requisite(s)		MAT101-E / MAT103-E / MAT112-E / MAT185-E / MAT187-E min DD
Required Facilities
Other
Textbook		Thomas’ Calculus, 13th Edition, G.B. Thomas, R. L. Finney, M.D. Weir, F.R. Giordano, Addison-Wesley
Other References		Mathematical Analysis I, Zorich, Vladimir A.

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