# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS II/MAT102
 Course Title: MATHEMATICS II Credits 4 ECTS 6 Semester 2 Compulsory/Elective Compulsory
COURSE INFO
-- LANGUAGE OF INSTRUCTION
Turkish
-- NAME OF LECTURER(S)
-- WEB SITE(S) OF LECTURER(S)

-- EMAIL(S) OF LECTURER(S)

-- LEARNING OUTCOMES OF THE COURSE UNIT
The ability both to make analysis and synthesis by examining different aspects of cases and looking multi-dimensionally at events is gained and to use

-- 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 POLAR COORDINATES: Definition, drawing of an arc, calculation of area, length of an arc and surface area of revolution 2. Week SEQUENCES: Definition, types, monotone and finite sequences, sub-sequence, convergence and divergence of sequences 3. Week SERIES: Definition, convergence and divergence, positive series and convergence tests, alternative series, absolute and conditional convergence, powe 4. Week SERIES EXPANSIONS: Taylor , Maclaurin and Binomial series, differentiation and integral of power series, calculations with the help of series 5. Week VECTORS: Vector spaces, investigation of vectors in two and three-dimensional spaces,vector operations, linear independence and basis, lines, planes 6. Week MULTIVARIABLE FUNCTIONS: Definition, domain of definition, graphs, limit and continuity of functions of two variables, partial differentiation 7. Week Higher order partial derivatives, chain rule, implicit function derivatives, exact differentiation 8. Week MIDTERM I 9. Week APPLICATIONS OF PARTIAL DIFFERENTIATIONS: Gradient, divergens ve rotasyon, directional derivatives, geometrical interpretation of partial derivative, 10. Week Taylor expansions of of functions of two variables, maxima and minima, conditional maxima and minima,maximum and minimum problems,The Jacobian transf 11. Week DOUBLE INTEGRALS: Definition, properties, computation,The Jacobian transformation 12. Week APPLICATIONS OF DOUBLE INTEGRALS: Calculation of area, volume, mass and moment, finding of center of masses and calculation of moment of inertia 13. Week MIDTERM II 14. Week TRIPLE INTEGRALS : Definition, properties, computation methods, The Jacobian transformation 15. Week TRIPLE INTEGRALS : Definition, properties, computation methods, The Jacobian transformation 16. Week Final
-- RECOMMENDED OR REQUIRED READING
- ROSE S.L., “Differential Equtions” Blaisdel Publishing Company. - AYRES Frank, “Diferensiyel Denklemler”. - Prof. Dr. İrfan Baki YAŞAR, “Uygulamalı Matematik” Gazi Üniversitesi.
-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
Lecture, Question & Answer, Drill - Practise
-- WORK PLACEMENT(S)
Not Applicable
-- ASSESSMENT METHODS AND CRITERIA
 Quantity Percentage Mid-terms 2 60 Assignment 0 0 Exercises 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Contribution of In-term Studies to Overall Grade 60 Contribution of Final Examination to Overall Grade 40