Akademik Dersler - Tanıtım


Code - Course Title	MAT209 - Analysis I
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+0
ECTS	6.0
Course Instructor(s)	ARAŞTIRMA GÖREVLİSİ DOKTOR MEHMET ERGEN
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	There is no recommended optional programme component for this course.
Recommended Reading List	Fikhtengolts G:M, (1979), The Fundamentals of Mathematical Analysis Volume I, Pergomon Press. Fikhtengolts G:M, (1979), The Fundamentals of Mathematical Analysis Volume II, Pergomon Press. Musayev, B., Alp, M., Mustafayev, N., Ekincioğlu, İ., (2003), Teori ve Çözümlü Problemlerle Analiz I, Tek Ağaç Yayıncılık. Musayev, B., Alp, M., Mustafayev, N., (2003), Teori ve Çözümlü Problemlerle Analiz II, Tek Ağaç Yayıncılık. Kudryavtsev, V.A., Demidovich, B.P. (1975) A Brief Course of Higher Mathematics, Central Books. Khuri A.I., (2003), Advanced Calculus with Applications in Statistics, Wiley-Interscience.
Assessment methods and criteria	2 Midterm exams, 1 Final Exam
Work Placement	N/A
Sustainability Development Goals

Weeks	Topics
Week - 1	Sequence and series, convergence and divergence.
Week - 2	Series with positive terms.
Week - 3	Alternate series.
Week - 4	Absolute convergence.
Week - 5	Functional series.
Week - 6	Power Series,Taylor and McLaurent series and applications.
Week - 7	Multivariate functions, limit.
Week - 8	Continuity.
Week - 9	Partially Derivatives.
Week - 10	Differantials
Week - 11	Directional derivatives.
Week - 12	Derivative of composite function. Chains rule.
Week - 13	Closed functions and derivatives.
Week - 14	Extremum of multivariate functions, conditional extremum

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