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Course Information

Course Name
Turkish Matematik II
English Mathematics II
Course Code
MAT 112E Credit Lecture
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.
Vector-Valued Functions: Vector Functions, Limits and Continuity and Integrals of Vector
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 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
Required Facilities
Textbook G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, 2005, Thomas’ Calculus, 10th Edition,
Addison-Wesley, ISBN: 0201441411.
Other References
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