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MAT 112E
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Course Weekly Lecture Plan
Course Evaluation Criteria
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
2
5
4
2

Course Language
English
Course Coordinator
Ayşe Peker
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.
VectorValued Functions: Vector Functions, Limits and Continuity and Integrals of Vector
Functions.
Dersin Amacı
(Course Objectives)
1. İntegral
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 3space, write equations of lines,
plane and quadric surfaces in 3space.
VI. Use the concepts of continuity, differentiation and integration of vectorvalued function.
Prerequisite(s)
MAT111 MIN DD / MAT111E MIN DD/MAT103 MIN DD / MAT103E MIN DD
MAT101E MIN DD/MAT 101 MIN DD
Required Facilities
Other
Textbook
G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, 2005, Thomas’ Calculus, 10th Edition,
AddisonWesley, ISBN: 0201441411.
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