GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
CALCULUS II/MAT102
 Course Title: CALCULUS II Credits 4 ECTS 5 Semester 2 Compulsory/Elective Compulsory
COURSE INFO
-- LANGUAGE OF INSTRUCTION
Turkish
-- NAME OF LECTURER(S)
Prof. Dr. Mustafa Çalışkan, Assoc. Prof. Çetin Vural
-- WEB SITE(S) OF LECTURER(S)
websitem.gazi.edu.tr/site/cvural
-- EMAIL(S) OF LECTURER(S)
cvural@gazi.edu.tr
-- LEARNING OUTCOMES OF THE COURSE UNIT
Estimating with finite sums,. Sigma notation and limits of finite sums
The definite integral. The fundamental theorem of calculus
Indefinite integrals and the substitution rule. Substitution and area between curves
Volumes by slicing and rotation about an axis
Volumes by cylindrical shells. Lengths of plane curves
Inverse functions and their derivatives. Natural logarithms
The exponential function. a^x and log_a x
Exponential growth and decay. Relative rates of growth

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
-- PREREQUISITES AND CO-REQUISITES
There is no prerequisite or co-requisite for this course.
-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
There is no recommended optional programme component for this course.
 --COURSE CONTENT 1. Week Estimating with finite sums,. Sigma notation and limits of finite sums 2. Week The definite integral. The fundamental theorem of calculus 3. Week Indefinite integrals and the substitution rule. Substitution and area between curves 4. Week Volumes by slicing and rotation about an axis 5. Week Volumes by cylindrical shells. Lengths of plane curves 6. Week Inverse functions and their derivatives. Natural logarithms 7. Week The exponential function. a^x and log_a x 8. Week Midterm Exam. 9. Week Exponential growth and decay. Relative rates of growth 10. Week Inverse trigonometric functions. Hyperbolic functions 11. Week Basic integration formulas. Integration by parts 12. Week Integration of rational functions by partial fractions 13. Week Improper integrals 14. Week Sequences 15. Week Series 16. Week Final exam.