Course Information

Course Name	Turkish	Matematik II
	English	Mathematics II
Course Code	MAT 112E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	5	6	2	-
Course Language		English
Course Coordinator		Semra Ahmetolan
Course Objectives		1. To provide the evaluation of integrals by using integral techniques. 2. To give the basic concepts of analytic geometry. 3. To give a broad knowledge and basic understanding of sequences and series.
Course Description		Techniques of Integration: Integration by Parts, Partial Fractions, Trigonometric Substitution, Numerical Integration, Improper Integrals. Conic Sections and Polar Coordinates: Conic Sections and Quadratic Equations, Polar Coordinates, Areas and Lengths in Polar Coordinates. Infinite Sequences and Series: Sequences, Infinite Series, The Integral Tests, Comparison Tests, The Ratio and Root Tests, Alternating Series, Power Series, Taylor and Maclaurin Series, Fourier Series. Vectors and the Geometry Space: Vectors, Dot Product, The Cross Product, Lines and Planes in Space, Cylinders and Quadric Surfaces. Vector-Valued Functions: Vector Functions, Limits and Continuity and Integrals of Vector Functions.
Course Outcomes		Students completing this course will be able to : I. Evaluate integrals by using the techniques of integration II. Calculate areas of plane regions and lengths of curve in polar coordinates. III. Compute limits of sequences and series, determine the convergence and the series and the radius of convergence of power series. IV. Represent a known function as a Taylor series, approximate a known function with a Taylor polynomial and determine the error involved. V. Compute the dot product and cross product of vectors in 3-space, write equations of lines, plane and quadric surfaces in 3-space. VI. Use the concepts of continuity, differentiation and integration of vector-valued function
Pre-requisite(s)		MAT111 MIN DD / MAT111E MIN DD/MAT103 MIN DD / MAT103E MIN DD MAT101E MIN DD/MAT 101 MIN DD
Required Facilities		Required Facilities
Other
Textbook		: Thomas’ Calculus, 11/E, 11th Edition G.B Thomas, M.D. Weir, J. Hass and F.R. Giordano Thomas’ Calculus, 12/E, 12th Edition J. Hass, G.B. Thomas and M.D. Weir.
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