Akademik Dersler - Tanıtım


Code - Course Title	MAT1014 - Calculus II
Course Type	Required Courses
Language of Instruction	Türkçe
Laboratory + Practice	4+2
ECTS	7.5
Course Instructor(s)	PROFESÖR DOKTOR ALİ DENİZ, PROFESÖR DOKTOR NÜLİFER ÖZDEMİR
Mode of Delivery	This course is conducted as face-to-face and/or distance education.
Prerequisites	None
Courses Recomended	Calculus I (Genel Matematik I)
Required or Recommended Resources	Robert A. Adams and Christopher Essex, Calculus A Complete Course 10e, Pearson Education, 2021.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt I, Palme Yayınevi, 2020.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt II, Palme Yayınevi, 2020.
Recommended Reading List	Robert A. Adams and Christopher Essex, Calculus A Complete Course 10e, Pearson Education, 2021.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt I, Palme Yayınevi, 2020.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt II, Palme Yayınevi, 2017.George B. Thomas Jr., Maurice D. Weir, Joel R. Hass, Thomas Kalkülüs Cilt:1, Pearson Education Yayıncılık, 2013James Stewart, Kalkülüs: Diferansiyel ve İntegral Hesap, TÜBA Yayınları, 2007.Robert A. Adams , Christopher Essex, Kalkülüs Eksiksiz Bir Ders Cilt I, Palme Yayınevi, 2020.
Assessment methods and criteria	Two midterm and one final exam.
Work Placement	Two hours per week are spent for problem solving.
Sustainability Development Goals

Weeks	Topics
Week - 1	Sums and sigma notation, Areas as limits of sums
Week - 2	The definite integral, Properties of the definite integral
Week - 3	Fundamental theorem of calculus, The method of substitutions
Week - 4	Areas of plane regions, Integration by parts
Week - 5	Integration of rational functions, Inverse substitutions
Week - 6	Improper integrals
Week - 7	Volumes of solids of revolution
Week - 8	Arc length and surface area
Week - 9	Mass, moments and centre of mass, centroids
Week - 10	Sequences and convergence
Week - 11	Infinite series, Convergence tests for positive series
Week - 12	Absolute convergence, Power series
Week - 13	Taylor and Maclaurin series, The Binomial theorem and Binomial series
Week - 14	Complex numbers, Complex arithmetic, Roots of complex numbers

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