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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
CALCULUS II	UMAT102	2. Semester	4 + 0	4.0	7.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Bachelor's Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	This lecture deals with definite integral and its applications, sequence and series and their convergence, Taylor series, definition of multivariable function and partial definiton, evaluation of double and triple integration and their applications.
Course Content	Evaluation and applications of the definite integral, improper integral, Definition of the sequence and the series, power series, multivariable functions and their limit, continuity, partial derivatives, double and triple integrals, evaluation of triple integrals in cylindric and spherical coordinates and their applications
Learning Outcomes	1) Knows fundamental theorem of integral calculus and has a knowledge some applications of the definite integral such as finding area, volume, arc length, surface area 2) Recognizes polar coordinate system, sketch the graphs of the curves given in the polar form. 3) Knows the definition of the sequence, the limit of the sequence and the series. Finds the convergence or divergence of the series by using the tests for convergence. 4) Has a knowledge the power series and Taylor series 5) Knows the multivariable functions and evaluate their limit, continuity and partial derivatives 6) Evaluates double integrals in cartesian and polar coordinates, knows their applications 7) Evaluates the triple integrals in spherical and cylindrical coordinates and uses their applications.