Akademik Dersler - Tanıtım


Code - Course Title	MAT806 - Calculus II
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+2
ECTS	7.5
Course Instructor(s)	DOÇENT DOKTOR ŞİRİN AKTAY, PROFESÖR BÜNYAMİN DEMİR, PROFESÖR ALİ DENİZ
Mode of Delivery	The mode of delivery of this course is Face-to-face.
Prerequisites
Courses Recomended	There is no recommended optional programme component for this course.
Recommended Reading List	Adams, Calculus, 7th edition
Assessment methods and criteria	Two multiple choice midterms and multiple choice final exam together with 3 written quizes.
Work Placement	Not applicable
Sustainability Development Goals

Weeks	Topics
Week - 1	Sums and Sigma Notation. Areas as Limits of Sums. The Definite Integral The Method of Substitution Areas of Plane Regions. Properties of Definite Integral The fundamental theorem of Calculus
Week - 2	Integration by Parts Integrals of Rational Functions Inverse Substitutions Improper Integrals.
Week - 3	Volume by Slicing-solids of revolution More volumes by slicing.
Week - 4	Arc Length and Surface Area Polar Coordinates and Polar Curves Slopes, Areas and Arc Lengths for polar curves.
Week - 5	Sequences and convergence.
Week - 6	Infinite series
Week - 7	Convergence Tests for positive series Absolute and Conditional convergence.
Week - 8	Power Series Taylor and Maclaurin Series.
Week - 9	Functions of Several Variables Limits and Continuity.
Week - 10	Partial Derivative Hİgher Order Derivatives.
Week - 11	The Chain Rule Gradients and Directional Derivatives.
Week - 12	Double Integrals.
Week - 13	Iteration of Double Integrals in Cartesian Coordinates. Improper Integrals and a Mean Value Theorem.
Week - 14	Double Integrals in Polar Coordinates.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
Toplam (%)		0