Description of Individual Course Units
 Course Unit Code Course Unit Title Type of Course Unit Year of Study Semester Number of ECTS Credits MAT152 MATHEMATICS II Compulsory 1 2 5
Level of Course Unit
First Cycle
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)
Öğr. Gör. Dr. Ahmet 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 apply integral to problems in the field of statistics 4 to gain ability of analytic approach to the statistics problems 5 6 7
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 • indefinite integral methods • Riemannn integrals and properties • Mean value theorems on integrals • Aplications of the definite integrals( area, volume, lengths of curves, area of surface) • Improper integrals
Weekly Detailed Course Contents
 Week Theoretical Practice Laboratory 0 Indefinite integrals and the methods of finding primitive Giving some information about course 1 Method of change of variables at definite integrals Solving problems with a mentor 2 Rational function integrals Solving problems with a mentor 3 Trigonometric integrals Solving problems with a mentor 4 İntegrals of irrational functions, integrals of binomial integrals Solving problems with a mentor 5 Partition , lower sum and upper sum Solving problems with a mentor 6 Riemannn integrals and properties Solving problems with a mentor 7 Midterm exam 8 Theorems of integrals Solving problems with a mentor 9 Area Solving problems with a mentor 10 Volume Solving problems with a mentor 11 Lengths of arc Solving problems with a mentor 12 Area of surface Solving problems with a mentor 13 Improper integrals Solving problems with a mentor 14 convergence tests for improper integrals Solving problems with a mentor 15 Final Exam
1. Thomas,G.B., Weir, M.D., Has, J., Giordana, F. R. ‘ Thomas Calculus 1’ (2010).
Planned Learning Activities and Teaching Methods
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
Language of Instruction
Turkish
Work Placement(s)
None