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)
Mode of Delivery
Prerequisites
Courses Recomended
Recommended Reading List
Assessment methods and criteria
Work Placement
Sustainability Development Goals

Weeks	Topics
Week - 1	Sums and Sigma Notation. Areas as Limits of Sums. The Definite Integral. Properties of the Definite Integral.
Week - 2	The Fundamental Theorem of Calculus. The Method of Substitution. Areas of Plane Regions.
Week - 3	Integration by Parts. Integrals of Rational Functions. Inverse Trigonometric Substitutions.
Week - 4	Improper Integrals. Volume by slicing – solids of revolution.
Week - 5	Arc length and surface area. Polar Coordinates and Polar Curves.
Week - 6	Slopes, Areas, and Arc Lengths for Polar Curves. Sequences and Convergence.
Week - 7	Infinite Series. Convergence Tests for Positive Series.
Week - 8	Absolute and Conditional Convergence. The alternating series test. Power Series.
Week - 9	Taylor and Maclaurin Series. Functions of Several Variables. Limits and Continuity.
Week - 10	Partial Derivatives. Higher Order Derivatives. The Chain Rule.
Week - 11	Gradients and Directional Derivatives. Double Integrals.
Week - 12	Iteration of Double Integrals in Cartesian Coordinates.
Week - 13	Improper Integrals and a Mean Value Theorem.
Week - 14	Double Integrals in Polar Coordinates.

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