Akademik Dersler - Tanıtım


Code - Course Title	MAT806 - Calculus II
Course Type	Required Courses
Language of Instruction	İngilizce
Laboratory + Practice	4+2
ECTS	7.5
Course Instructor(s)	PROFESÖR DOKTOR REFAİL KASIMBEYLİ
Mode of Delivery	Face-to-face
Prerequisites	MAT 805 Calculus I
Courses Recomended	MAT 805 Calculus I
Recommended Reading List	Calculus, Robert A. Adams and Christopher Essex, Calculus,Seventh Edition
Assessment methods and criteria	2 midterms, 3 quizzes and 1 final exam
Work Placement	NA
Sustainability Development Goals

Weeks	Topics
Week - 1	Sums and Sigma Notation. Areas as Limits of Sums. The Definite Integral.Properties of The Definite Integral. The Fundemental Theorem of Calculus.The Method of Subsititution. Areas of plane regions.
Week - 2	Integration by Parts. Inverse Subsititution. Integrals of rational functions. Improper integrals
Week - 3	Volume by slicing, Volume by cylindrical shells
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	Sequences and Convergence
Week - 7	Infinite Series. 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. Partial Derivatives. Higher Order Derivatives. The Chain Rule.
Week - 10	Gradients and Directional Derivatives.
Week - 11	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 (%)
1.Midterm Exam	1	20
2.Midterm Exam	1	30
Final Exam	1	50
Toplam (%)		100