Akademik Dersler - Tanıtım


Code - Course Title	MAT328 - Analysis IV
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+2
ECTS	7.0
Course Instructor(s)	DOÇENT DOKTOR İLKNUR ATASEVER GÜVENÇ
Mode of Delivery	The mode of delivery of this course is Face to face
Prerequisites	There is no prerequisite or co-requisite for this course.
Courses Recomended	Analysis 1, Analysis 2 ve Analysis 3.
Required or Recommended Resources	* Marsden J. E. Tromba (1975) Vector calculus, * Marsden J. E. Tromba (1975) Vector calculus, W. H. Freman and Company * Özer O., Çoker D. et all. (1996) İleri Analiz *Corwin L.J., Szczarba R., (1982) Multivariable calculus. Colley, S. Vector Calculus, Pearson Education. Folland, G. Advanced Calculus, Prentice Hall Nesin, A. (2007-2008) Matematik Dünyası Degileri , Bilgi Üniversitesi, İstanbul.
Recommended Reading List
Assessment methods and criteria	2 midterms, 1 final exam and at least 3 quizzes
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Integration of functions of one variable. Properties of integral. The integral of a function of two variables.
Week - 2	The integral of a function of n variables. Properties of the iterative integrals. Integrable functions.
Week - 3	Measurable and zero volume sets.
Week - 4	Fubini Theorem. Integral over general regions.
Week - 5	Applications of integrations.
Week - 6	Changing of variable formula. Coordinate transformations in triple integration.
Week - 7	Improper integrals.
Week - 8	Line integrals. Line integrals of a function.
Week - 9	Line integrals of vector fields. Conservative vector fields.
Week - 10	Green Theorem
Week - 11	Surfaces, surface area. Surface integrals.
Week - 12	First and second kind surface integrals.
Week - 13	Applications of surface integrals.

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	25
Final Exam	1	50
Toplam (%)		100