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	7
NAME OF LECTURER(S)	Professor Öznur Özkan Kılıç Assistant Professor Gökçen Çekiç Öztek
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Understand and use the language of mathematics 2) Analyze and solve the problems encountered by mathematical thinking and derive conclusions and apply them 3) Know the basic mathematical concepts such as derivative and integral function and be capable to apply them in their field of study.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	Yes(MAN143)
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Definite and indefinite integrals, matrices, determinants, systems of linear equations; functions of several variables: limit, differentiation and chain rule, gradient vector, tangent plane, extreme-value problems, the method of Langrange multipliers; double integrals.
COURSE CONTENTS	WEEK TOPICS 1st Week Indefinite Integral, Techniques of Integration 2nd Week Definite Integral, Properties of definite integral, Area between curves 3rd Week Improper Integrals, Matrices, Matrix Operation, Inverse Matrix, Row Operations 4th Week System of linear equations and solution methods 5th Week Determinant and properties, Cramer Rule 6th Week Linear Inequalities, System of linear inequalities, Linear Programming 7th Week Multiple Optimum Solutions 8th Week Midterm 9th Week Functions of several variables, Graphs in R3 10th Week Partial derivatives, Application of partial derivatives, Implicit differentiation 11th Week High order partial derivatives, chain rule 12th Week Maximum and minimum for function of several variables 13th Week Lagrange multipliers 14th Week Double Integrals
RECOMENDED OR REQUIRED READING	Temel matematiksel analiz; işletme, iktisat, yaşam bilimleri ve sosyal bilimler için, Ernest F. Haeussler, Richard S. Paul, Richard Wood. Sosyal ve Beşeri bilimlerde Matematik II, Prof. Dr. Halil İbrahim Karakaş, Akademik Consulting & Training (Yayınevi).
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Discussion,Problem Solving
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 40 Total(%) 40 Contribution of In-term Studies to Overall Grade(%) 40 Contribution of Final Examination to Overall Grade(%) 60 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz Individual or group work 14 4 56 Preparation for Final exam 1 50 50 Course hours 14 4 56 Preparation for Midterm exam 1 40 40 Laboratory (including preparation) Final exam 1 3 3 Homework Total Workload 207 Total Workload / 30 6,9 ECTS Credits of the Course 7
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No