Akademik Dersler - Tanıtım


Code - Course Title	MAT327 - Analysis III
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+2
ECTS	7.0
Course Instructor(s)	DOKTOR ÖĞRETİM ÜYESİ 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	The students are supposed to take and achieve Analysis 1 and 2 courses.
Recommended Reading List	* Adams, R. (2006) Calculus, Toronto : Pearson/Addison Wesley
Assessment methods and criteria	2 midterms, one final exam and at least 3 quizes. 2 Midterm, 1 Final and at least 3 Quiz.
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Finite dimensional real vector spaces, norm and its properties
Week - 2	Functions of several variables and real valued, functions of single variable and vector valued
Week - 3	Limit and continuity
Week - 4	Open and closed sets in n-dimension
Week - 5	Sequences in n-dimension, compactness, Weierstrass Theorem
Week - 6	Derivative of Functions of several variables
Week - 7	Partial derivatives
Week - 8	Chain rule and differentiability theorems
Week - 9	Curves, directional derivative, gradient, differential
Week - 10	Taylor Theorem, Schwarz theorem
Week - 11	Extremum values
Week - 12	Maximum and minimum problems
Week - 13	Extremum with side conditions
Week - 14	Inverse function theorem, Implicit function theorem

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