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)	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	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