TYPE OF COURSE UNIT	Compulsory Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	1
SEMESTER	First Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED	7
NAME OF LECTURER(S)	Assistant Professor Özge Dalmanoğlu
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) able to solve problems related to the elementary functions and sketch their graphs. 2) know the concept of limit and continuity, make applications related to them. 3) know the concept of derivative with geometric and physical interpretations and can make applications related to derivative. 4) explain the relationship between derivative and integral. 5) Solve problems related to the applications of integral.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
COURSE DEFINITION	Function concept, domain and range of functions, elementary functions. Graphs of functions. Limit and continuity concepts in functions of one variable, Asymptotes, Intermediate Value Theorem The concept of derivative and derivative rules, Chain Rule, Implicit derivative, Higher order derivatives; Extrema of Functions, Mean Value Theorem, L'Hospital Rule, First and Second Derivatives Graph Drawing, Extremum Problems (Optimisation); Integral concept, indefinite integrals, integration techniques, Area Problem and definite integrals, Area and Volume calculations, Arc Length, Improper Integrals and Convergence tests
COURSE CONTENTS	WEEK TOPICS 1st Week Function concept, domain and range of functions, polynomials, rational and trigonometric functions 2nd Week Inverse of functions; Exponential, logarithmic, inverse trigonometric functions, Graphs. The concept of Limit 3rd Week Asymptotes, Continuity, Intermediate Value Theorem 4th Week The concept of Derivative and derivative rules for functions of one variable 5th Week Chain Rule, Implicit Derivative, Logarithmic Derivative, Extrema of Functions 6th Week Mean Value Theorem, L'Hospital Rule, Graph Sketching 7th Week Extremum Problems (Optimization) 8th Week Midterm Exam 9th Week Integral-Indefinite Integrals, Basic Integration Techniques 10th Week Techniques of Integration 11th Week Definite Integral and Properties, Fundamental Theorems of Integral Calculus 12th Week Applications of Definite Integral-Area and Arc Length Calculation 13th Week Applications of Definite Integral - Volume Calculus 14th Week Improper Integrals and Convergence Tests
RECOMENDED OR REQUIRED READING	1. G.B.Thomas, Thomas-Calculus, 11th Edition, Addison Wesley, 2006. 2. R.A.Adams, Calculus, 4th edition, Addison Wesley, 1999. 3. Dennis G. Zill, Warren S. Wright, Matematik-Cilt 1, Çeviri Editörü: Prof. Dr. İsmail Naci Cangül, Nobel Yaynları
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Quiz 2 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 6 12 Individual or group work 13 3 39 Preparation for Final exam 12 3 36 Course hours 13 6 78 Preparation for Midterm exam 7 3 21 Laboratory (including preparation) Final exam 1 2 2 Homework 6 2 12 Total Workload 202 Total Workload / 30 6,73 ECTS Credits of the Course 7
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No