Course Information

Course Name	Turkish	Matematik II
	English	Matemathics II
Course Code	MAT 104	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	4	3	2	-
Course Language		Turkish
Course Coordinator		Matematik Bölümü
Course Objectives		1.To provide the concepts and applications of the convergence of improper integrlas, 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		Improper İntegrlas, Vectors in Space,Vector-Valued Functions, Multivarible Functions and Partial Derivatives , Multiple Integrals, ,Infinite sequences and series.
Course Outcomes		Students completing this course will be able to : 1. Determine convergence/divergence of improper integrals. 2. 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. 3. Use the concepts of continuity, differentiation, and integration of vector-valued functions. 4. 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. 5. 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. 6. Compute limits of sequences and series; determine the convergence of the series and the radius of convergence of power series. 7. Represent a known function as a Taylor series; approximate a known function with a Taylor polynomial and determine the error involved.
Pre-requisite(s)		MAT103 MIN DD / MAT103E MIN DD/MAT101E MIN DD/MAT 101 MIN DD
Required Facilities
Other
Textbook		Thomas’ Calculus, 10th Edition, G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, Addison-Wesley, 2005.
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