Welcome, Guest . Login . Türkçe
Where Am I: Ninova / Courses / Faculty of Science and Letters / MAT 112E / Course Informations

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. Vector-Valued 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 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 Other Textbook G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, 2005, Thomas’ Calculus, 10th Edition, Addison-Wesley, ISBN: 0201441411. Other References