# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS II/MAT102
 Course Title: MATHEMATICS II Credits 4 ECTS 6 Course Semester 2 Type of The Course Compulsory
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
Learn applications of definite integral.
Students will learn the sequence and series concept and examine their convergence with some tests.
Learn to find limits, continuity and derivatives of multivariable functions.
Learn to calcualte double integral

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE 1. Week Applications of definite integral: Calculation of area 2. Week Calculation of volume (cross section, disc and shell methods). 3. Week Calculation of length of an arc and surface area of revolution. 4. Week Polar Coordinates : Definition, drawing of an arc, calculation of area, length of an arc and surface area of revolution. 5. Week Improper integrals and its rules of convergence. 6. Week Definition, types, monotone and finite sequences, subsequence, convergence and divergence of sequences. 7. Week Definition, convergence and divergence, posite series and convergence tests. 8. Week Alternating series, absolute and conditional convergence, power series, radius and interval of convergence 9. Week Power Series, Taylor and Maclaurin Series 10. Week Multivariable functions : Definition, domain of definition, graphs, limit and continuity of functions of two variables, partial differentiation 11. Week Transformation of the region and jacobiens. 12. Week Double integrals : Definition, properties, computation, bölge dönüşümleri. 13. Week Fubini’s theorems 14. Week Double Integrals in Polar coordinates 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 60 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 60 Percentage of Final Exam to Total Score 40