GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS II/MATH102
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
   English
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
Students can calculate definite integral.
Students can calculate volume of the revoluation body.
Students can calculate surface area of the revoluation surface.
Students can know the rules of the convergence for the improper integral.
Students can calculate the doule integral.
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 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week   DEFINITE INTEGRAL AND ITS APPLICATIONS : Definition, properties, fundamental theorem of integral computation, 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   İmproper integrals and its rules of convergence.
5. Week   POLAR COORDINATES : Definition, drawing of an arc, calculation of area, length of an arc and surface area of revolution.
6. Week   SEQUENCES : Definition, types, monotone and finite sequences, subsequence, convergence and divergence of sequences.
7. Week   SERIES : 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   Midterm exam.
10. Week   SERIES EXPANSIONS : Taylor , Maclaurin and Binomial series, differentiation.
11. Week   İntegration and derivation of power series.
12. Week   MULTIVARAIBLE FUNCTIONS : Definition, domain of definition, graphs, limit and continuity of functions of two variables, partial differentiation
13. Week   Taylor expansions of of functions of two variables, maxima and minima, minimum problems,transformation of the region and jacobiens.
14. Week   DOUBLE INTEGRALS : Definition, properties, computation, bölge dönüşümleri.
15. Week   APPLICATIONS OF DOUBLE INTEGRALS : Calculation of area, volume, mass and moment, finding of center of masses and calculation of moment of inertia.
16. Week   Final exam.
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
0
 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
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
14
0
0
 Reading Tasks
14
2
28
 Searching in Internet and Library
14
1
14
 Material Design and Implementation
14
0
0
 Report Preparing
14
0
0
 Preparing a Presentation
14
0
0
 Presentation
14
0
0
 Midterm Exam and Preperation for Midterm Exam
2
20
40
 Final Exam and Preperation for Final Exam
1
20
20
 Other (should be emphasized)
0
0
0
 TOTAL WORKLOAD: 
158
 TOTAL WORKLOAD / 25: 
6.32
 Course Credit (ECTS): 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems.X
2Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purposeX
3Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose...X
4Ability to devise, select, and use modern techniques and tools needed for analyzing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively
5Ability to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or discipline specific research questionsX
6Ability to work efficiently in intradisciplinary and multi-disciplinary teams; ability to work individuallyX
7Ability to communicate effectively in Turkish, both orally and in writing knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructionsX
8Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herselfX
9Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice .
10Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable developmentX
11Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions .X
 -- NAME OF LECTURER(S)
   ( Assoc.Prof. Dr. Bayram ÇEKİM )
 -- WEB SITE(S) OF LECTURER(S)
   ( websitem.gazi.edu.tr/site/bayramcekim/contact )
 -- EMAIL(S) OF LECTURER(S)
   ( baycekim@gmail.com )