# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS II/MAT 102
 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
Learns the application areas of definite integral.
Learn the concept of series and series and examine their convergence with some tests.
Learn to find limit, continuity and derivatives of multivariable functions.
Calculates the double integral.

-- MODE OF DELIVERY
All lectures are in class by discussing certain points with students
 --WEEKLY SCHEDULE 1. Week Applications of definite integral. Domain Account 2. Week Volume calculations (cross section, disk and shell methods) 3. Week Spring length and area of rotational surfaces 4. Week Polar Coordinates: Definition, curve sketches, area, arc length and calculation of areas of rotational surfaces. 5. Week Generalized integrals and convergence rules 6. Week Arrays: definition, types, monotone and bounded arrays, subarrays, convergence and divergence of arrays. 7. Week Series: Definition, convergence and divergence, series with positive terms and convergence tests. 8. Week Alternating series, absolute and conditional convergence, power series, radius and range of convergence 9. Week Power series, Taylor and Maclaurin expansions. 10. Week Multivariable Functions: Definition, definition region, graphs, limit and continuity of two variable functions, partial derivatives 11. Week Region transformations and jacobians. 12. Week Double integrals: definition, properties, calculation 13. Week Fubini Theorems 14. Week Double integrals in polar coordinates 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 40 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 40 Percentage of Final Exam to Total Score 60