Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits MAT164 MATHEMATICS II Compulsory 1 2 4
Level of Course Unit
First Cycle
Language of Instruction
Turkish
Objectives of the Course
Mathematics is of essential importance for students to give the ability of systematic and analytic approach to the problems.
Name of Lecturer(s)
Matematik Bölümü Öğretim Elemanları
Learning Outcomes
 1 to gain ability of analytic approach to the problems 2 to provide the tools for the other courses 3 to understand the connection between integral and real life problems by being given examples of the application areas of both definite and indefinite integral. 4 to improve mathematical sense
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Riemannn integrals and properties, mean value theorems on integrals, change of variables, indefinite integrals and the methods of finding primitive, improper integrals and convergence, applications of the definite integrals( area, volume, area of surface), numerical series and convergence properties of series.
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 0 Partition , lower sum and upper sum 1 Riemannn integrals and properties 2 Theorems of integrals 3 Method of change of variables, at definite integrals. 4 Indefinite integrals and the methods of finding primitive, 5 Trigonometric integrals 6 Rational function integrals 7 Midterm exam 8 Improper integrals 9 Convergence at improper integrals 10 Area 11 Volume 12 Area of surface 13 Length of arc 14 Numerical series and convergence properties of series 15 Final
TEXTBOOK/RECOMMENDED READING 1. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992) 2. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
Planned Learning Activities and Teaching Methods
Activities are given in detail in the sections 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