TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) are expected to have knowledge and skills about similarities and differences between single-variable functions and the many-variables functions .
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	There is no recommended optional programme component for this course.
COURSE DEFINITION	Real numbers, principle of induction, functions and their inverses, trigonometric and inverse trigonometric functions, limit, continuity, derivative, differential, rules for the derivatives of algebraic functions, mean value theorem, applications of derivatives, L'Hospital's rule, graphs of functions, indefinite integrals, methods of integration, definite integrals, areas.
COURSE CONTENTS	WEEK TOPICS 1st Week Polar Coordinates, Analytic geometry in three dimensional space 2nd Week Vectors in the plane and in space, skaler multiplied, vectorial product, mixed product and applications 3rd Week In three-dimensional space the line and plane equation, applications 4th Week Definition of functions of several variables, Domain sets, Limit and continuity 5th Week Partial derivatives, Higher-Order derivatives, The chain rule 6th Week Directional derivatives, Gradients, Derivatives of Implicit functions 7th Week Extreme values, Lagrange Multipliers 8th Week MIDTERM I 9th Week Double integrals in Cartesian and Polar Coordinates 10th Week Trible integrals in Cartesian Coordinates 11th Week Coordinate transformations 12th Week MID TERM II 13th Week Cylindrical Coordinates 14th Week Spherical Coordinates
RECOMENDED OR REQUIRED READING	"Calculus, 6th Edition", Robert A. Adams, 2006. "Genel Matematik II", Prof. Dr. Mustafa Balcı, 2006.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Case Study,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 2 40 Quiz 5 10 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No