Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits 404001102006 MATHEMATICS II Compulsory 1 2 5
Level of Course Unit
First Cycle
Language of Instruction
Turkish
Objectives of the Course
The aim of this course is to construct a basis of information which student will use in future by giving detailed information about integral, applications of integral and series, and to have students being learned analytical thought.
Name of Lecturer(s)
Prof. Dr. İlkay Karaca, Assoc. Prof. Dr. Nüket Hamal
Learning Outcomes
 1 Be able to understand the fundemental principal of defined integral 2 Be able to understand the relation of cause and effect by definite and undefinite integral 3 Be able to use integral in real life applications 4 Be able to understand numerical series and their convergence at series
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Indefinite integrals and the methods of finding primitive, change of variables , Riemannn integrals and properties, Mean value theorems on integrals, Improper integrals and convergence, Aplications of the definite integrals( area, volume, lengths of curves, area of surface), Series
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 1 Indefinite integrals and the methods of finding primitive 2 Method of change of variables at definite integrals 3 Rational function integrals 4 Trigonometric integrals Partition 5 İntegrals of irrational functions, integrals of binomial integrals 6 Partition , lower sum and upper sum 7 Riemannn integrals and properties 8 Midterm exam 9 Theorems of integrals 10 Area 11 Volume,(Quiz) 12 Lengths of arc 13 Area of surface 14 Improper integrals 15 Series 16 Final
TEXTBOOK/RECOMMENDED READING 1. Çoker D., Özer O., Taş K. "Genel Matematik" , Cilt I, (1996) 2. Thomas, G. B. and Finney, R. L., "Calculus and Analytic Geometry", 9th ed., Addison Wesley, (1998) 3. Mustafa Balcı, "Analiz I" Balcı yayınları. 4. J.Steward, Kalculus, TÜBA Yayınları (2007)
Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"
Assessment Methods and Criteria
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight Final Sınavı 1 100 SUM 100 Term (or Year) Learning Activities 40 End Of Term (or Year) Learning Activities 60 SUM 100
Work Placement(s)
None