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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
ADVANCED CALCULUS II	UMAT258	4. Semester	4 + 0	4.0	6.0

Prerequisites

None

Language of Instruction
Course Level	Bachelor's Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	To teach the types of improper integrals and the character of improper integrals, limits, continuity, derivatives and integrals of vector-valued functions, limits and continuity of functions of several variables, partial derivatives and the chain rule, Double integrals, Change of variables of double integrals, Area by double integration, types of differential equations and methods of the solutions of differential equations.
Course Content	Improper integrals and their types, Convergence tests for the improper integrals, Gamma and Beta functions, Limits, continuity, derivatives and integral of the vector-valued functions, limits and continuity of functions of several variables, Partial derivatives, the chain rule, double integrals, change of variables of double integrals, area by double integration, types of differential equations and methods of the solutions of differential equations
Learning Outcomes	1) Searches the improper integrals and knows Gamma and Beta functions 2) Evaluates the limits, continuity, derivatives and integrals of the vector valued functions 3) Determines the domain and range of the functions of several variables and draws the graphs of these functions by using level curves 4) Knows the partial derivatives and chain rule and applies them 5) Evaluates the total differential of functions of several variables 6) Evaluates the double integrations and the area by double integration 7) Learn the types of diferential equations 8) Solve the differential equations by using suitable methods