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MAT 186
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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
6
4
2

Course Language
Turkish
Course Coordinator
Nalan Antar
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, VectorValued Functions. Multivariable Functions and Partial Derivatives. Multiple Integrals.
Course Outcomes
Determine the convergence of sequences and series, compute the radius of convergence of power series,
Represent a known function as a Taylor series, approximate a known function with a Taylor polynomial and determine the error involved,
Compute the standard representation of a vector in 3space, compute the dot product and cross product of vectors, write equations of lines, planes and quadric surfaces in 3space,
Use the concepts of polar coordinates in one variable functions and the concepts of continuity, differentiation, and integration in vectorvalued functions,
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,
Compute multiple integrals and use multiple integrals when calculating area and volume.
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