Akademik Dersler - Tanıtım


Code - Course Title	MAT558 - Vector Analysis
Course Type	Elective Courses
Language of Instruction	Türkçe
Laboratory + Practice	3+0
ECTS	7.5
Course Instructor(s)	PROFESÖR DOKTOR NEDİM DEĞİRMENCİ
Mode of Delivery	Face to face.
Prerequisites	None
Courses Recomended	none
Required or Recommended Resources	Vector Calculus, Susan Jane Colley, Pearson, 2012.Calculus, Robert A. Adams, Addison Wesley Longman, 2003.
Recommended Reading List	Vector Calculus, Susan Jane Colley, Pearson, 2012.Calculus, Robert A. Adams, Addison Wesley Longman, 2003.
Assessment methods and criteria	1 midterm, 1 final
Work Placement	None
Sustainability Development Goals

Weeks	Topics
Week - 1	Vectors, dot product, cross product, plane, parametric curves, arc length.
Week - 2	Functions of several variables, the derivative, Jacobian matrix.
Week - 3	The chain rule, partial derivatives, directional derivative.
Week - 4	Multiple integration, Areas and volumes, double integrals, triple integrals.
Week - 5	Surfaces: Parametrized surfaces, curves on surfaces and surface area, orientation.
Week - 6	Vector fields: Integral curve, gradient, divergence, rotational.
Week - 7	Scalar and vector line integrals
Week - 8	Green's Theorem
Week - 9	Surface integrals: Integrals of scalar functions on a surface.
Week - 10	Surface integrals: Integral of vector fields on a surface
Week - 11	Stokes's and Divergence Theorem
Week - 12	Differential forms on R^n, basic properties of differential forms
Week - 13	Exterior derivative, Basic properties of the induced mappings.
Week - 14	Integrals of Differential Forms: Stokes’ Theorem.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	20
2.Midterm Exam	1	30
Final Exam	1	50
Toplam (%)		100