Akademik Dersler - Tanıtım


Code - Course Title	EMAT111 - Calculus I
Course Type	Required Courses
Language of Instruction	İngilizce
Laboratory + Practice	4+2
ECTS	7.5
Course Instructor(s)	DOÇENT UTKU ERDOĞAN
Mode of Delivery	This course is conducted as face-to-face and/or distance education.
Prerequisites	None
Courses Recomended	None
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.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	Basic Concepts: Real numbers and the real axis
Week - 2	Cartesian coordinates in the plane, Complex numbers, Graphs of quadratic equations
Week - 3	Functions; Limit and Continuity: Limits of functions, Continuity
Week - 4	Derivative: Tangent lines and their slopes
Week - 5	Concept of derivative, Differentiation Rules
Week - 6	Inverse, Exponential and Logarithmic Functions
Week - 7	Applications of Derivative: Indeterminate forms
Week - 8	Applications of Derivative: Extremum values
Week - 9	Applications of Derivative: Sketching the graph of a function
Week - 10	Integral: Definite integral and its properties
Week - 11	Indefinite integral
Week - 12	Integration Techniques: Change of variables, integration by parts
Week - 13	Integrals of rational functions
Week - 14	Improper integrals

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	25
2.Midterm Exam	1	30
Final Exam	1	45
Toplam (%)		100