TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	1
SEMESTER	Second Term (Spring)
NUMBER OF ECTS CREDITS ALLOCATED	8
NAME OF LECTURER(S)	Professor Şeref Mirasyedioğlu
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Will be able to solve the problems about the sets, the number sets, the quadratic equations, and the elementary functions ( polynomial, rational, trigonometric, logarithmic ), 2) Will be able examine the analytic properties of the lines and the circles in a plane, 3) Will be able solve the problems about inductive method, sequences, and series.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Definite integral, Reimann law, the fundamental theorem of calculus, Indefinite integral, methods of integration, applications of the definite integral, areas of plane regions, volumes of solids of revolution, Arc length and surface area, numerical integration, improper integrals, linear algebra and matrix applications.
COURSE CONTENTS	WEEK TOPICS 1st Week The area as a limit of sum, 2nd Week Applications of derivation. 3rd Week Indefinite integral, the method of substitution 4th Week Definite integral. Properties of the definite integral, the fundamental theorem of calculus 5th Week Partial fraction decomposition of rational functions and integrals of rational functions 6th Week Integration by parts, reduction formulas 7th Week Numerical integration: Trapezoid and Simpson rules 8th Week Midterm Exam 9th Week Improper integrals 10th Week Convergence and divergence of improper integrals 11th Week Areas of plane regions 12th Week Volumes of solids of revolution: Shell and Disc methods 13th Week Arc lenght and surface area 14th Week Rehearsal
RECOMENDED OR REQUIRED READING	1) M.Balcı, Genel Matematik 2) H.H. Hacısalihoğlu, Temel ve Genel Matematik 3) R. A. Adams, "Calculus 4th edition", Addison-Wesley, 1999 4) G. B. Thomas and R. L. Finney, "Calculus and analytic geometry, 9th edition", Addison-Wesley, 1998 5) R. A. Silverman, " Calculus and analytic geometry", Prentice - Hall Inc., 1985
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Other
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Attendance 1 10 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No