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Course Information

Course Name
Turkish Matematik III
English Mathematics III
Course Code
MAT 287 Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 3
4 6 3 2
Course Language Turkish
Course Coordinator Fatma Özdemir
Course Objectives 1. To give an ability to apply knowledge of mathematics on engineering problems.
2. To give an ability to apply knowledge of mathematics on engineering problems.
Course Description Function sequences and series, Fourier-Laplace Series, Line integrals, vector fields, path independence, potential functions, the fundamental theorem of line integrals, Green’s theorem in the plane, surface area and surface integral, Stokes’ theorem, Divergence theorem.
Course Outcomes Students completing this course will be able to:
Calculate surface areas of surfaces in space. Calculate surface integrals of functions defined on surfaces,
Calculate line integrals on curves given in space using all available techniques,
Apply Green’s Theorem, Stokes’ Theorem and Divergence Theorem for real valued and vector valued functions,
Have a fundamental understanding of sequences of functions and theorems on uniform convergence,
Have a fundamental understanding of series functions and theorems on uniform convergence,
Have a fundamental understanding of Fourier series and be able to give Fourier expansions of a given function.
Pre-requisite(s) MAT102-E / MAT104-E / MAT188-E / MAT211-E / MAT213-E min DD
Required Facilities
Other
Textbook Advanced Calculus, Gerald Folland, 2001
Other References Advanced Calculus, Creighton Buck, Ellen Buck, Third Edition
An Introduction to Linear Analysis, Donald L. Kreider, Robert G. Kuller
Advanced Calculus, Wilfred Kaplan, Fifth Edition
Calculus, Vol1 & Vol 2 Tom M. Apostol, Second Edition
Thomas’ Calculus, 13th Edition, G.B Thomas, R. L. Finney, M.D.Weir, F.R.Giordano, Addison-Wesley
 
 
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