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MAT 188
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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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