TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	2
SEMESTER	Third Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	-
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) able to investigate the convergence of the sequences. 2) able to know the convergence citerions of the series. 3) able to investigate the convergence of the sequences. 4) able to distinguish the concepts of pointwise convergence and uniform convergence. 5) able to write down the power series expansion of the given functions.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION	Sequences, convergence of sequences, monotone sequences. The concept of series, divergence and convergence of series, positive term series and convergence criteria. Alternating series. Absolute and conditional convergence; Function sequences and the concept of uniform convergence; Function series, pointwise and uniform convergence in function series; Power series, convergence interval of power series, power series representations of functions; Taylor and Maclaurin series and applications.
COURSE CONTENTS	WEEK TOPICS 1st Week Seequences, definition and properties 2nd Week Convergence and limit of sequences 3rd Week Infinite series, definitions and related concepts 4th Week Convergence of series 5th Week Positive series, convergence tests 6th Week Positive series, convergence tests 7th Week Alternating series and convergence 8th Week Midterm Exam 9th Week Function arrays 10th Week Uniform Convergence 11th Week Uniform and pointwise convergence of series of functions 12th Week Power series 13th Week Taylor and Maclaurin series of functions 14th Week General Review
RECOMENDED OR REQUIRED READING	1. R. A. Adams, "Calculus 4th edition", Addison-Wesley, 1999 2. G. B. Thomas and R. L. Finney, "Calculus and analytic geometry, 9th edition", Addison-Wesley, 1998 3. Mustafa Balcı, "Analiz 1-2" Sürat Üniversite Yayınları 4. İbrahim Yalçınkaya, Analiz 3- Diziler ve Seriler
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Quiz 1 10 Total(%) 50 Contribution of In-term Studies to Overall Grade(%) 50 Contribution of Final Examination to Overall Grade(%) 50 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 2 4 8 Individual or group work Preparation for Final exam 12 3 36 Course hours 13 4 52 Preparation for Midterm exam 7 3 21 Laboratory (including preparation) Final exam 1 2 2 Homework 6 3 18 Total Workload 139 Total Workload / 30 4,63 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No