GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS III/MAT-245
Course Title: MATHEMATICS III
Credits 4 ECTS 7
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  TURKISH
 -- NAME OF LECTURER(S)
   Assoc. Prof. Esra ERKUŞ DUMAN, Assoc.Prof.Hatice Gül İNCE İLARSLAN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/eduman , http://websitem.gazi.edu.tr/site/ince
 -- EMAIL(S) OF LECTURER(S)
  eduman@gazi.edu.tr , ince@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understanding multivariate functions, limits and continuity of functions of several variables
Investigating partial derivatives, the chain rule
Investigating exact differential and implicit derivative,
Investigating extremum of functions of several variables, partial derivatives of the geometric meaning
Computing Leibnitz rule, the two integrals and area calculation, two integral transformations in the region
Understanding polar coordinates, with the help of two integrals volume, mass and center of gravity calculation
Understanding Triple integrals and applications, spherical coordinates, cylindrical coordinates
Understanding the multivariate functions
Computing limit, continuity and partial derivatives of multivariate functions
Understanding the chain rule
 -- 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  multivariate functions, limits and continuity of functions of several variables
2. Week  partial derivatives, the chain rule
3. Week  exact differential and implicit derivative,
4. Week  extremum of functions of several variables, partial derivatives of the geometric meaning
5. Week  Leibnitz rule, the two integrals and area calculation, two integral transformations in the region
6. Week  polar coordinates, with the help of two integrals volume, mass and center of gravity calculation
7. Week  Triple integrals and applications, spherical coordinates, cylindrical coordinates
8. Week  Midterm exam
9. Week  volume, mass and center of gravity calculation with aid of triple integrals
10. Week  Line integrals, arc length calculation with the help line integrals
11. Week  mass and center of gravity calculation with the help of Line integrals
12. Week  Business problems,
13. Week  path independence
14. Week  Green's theorem and its applications
15. Week  Surface integrals
16. Week  Final exam.
 -- RECOMMENDED OR REQUIRED READING
  Balcı M., 1997, Matematik Analiz,Cilt I-II, Balcı Yayınları.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  N0
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
30
 Assignment
0
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
40
 Contribution of Final Examination to Overall Grade  
60
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
4
56
 Practising Hours of Course Per Week
0
 Reading
3
3
9
 Searching in Internet and Library
1
10
10
 Designing and Applying Materials
1
10
10
 Preparing Reports
3
3
9
 Preparing Presentation
2
5
10
 Presentation
3
10
30
 Mid-Term and Studying for Mid-Term
1
11
11
 Final and Studying for Final
1
21
21
 Other
3
3
9
 TOTAL WORKLOAD: 
175
 TOTAL WORKLOAD / 25: 
7
 ECTS: 
7
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
11. The statistical textbooks which include latest information about statistics, equipment and other resources supported by scientific approach on undergraduate level have theoretical and practical knowledge.X
22. Statisticians by using knowledge and skills acquired at bachelor degree level model, analyze, and interpret datasets.X
33. Statisticians identify and analyze the problems with current developments in statistic and also develop solutions based upon researches and proofs.X
44. Statisticians apply theoretical and practical knowledge acquired in Statistics at bachelor degree level to the current problems.X
55. Statisticians have the ability to use computer software and computing technology at the certain level required by statistics field.
66. Statisticians take responsibility at disciplinary and interdisciplinary studies as an individual or a team member.X
77. Statisticians must have knowledge and ability to follow development in the field of Statistics, and must develop life long-learning attitudes.X
88. By using a foreign language, statistician can keep track of every statistical information, and communicate with colleagues.
99. Applying the statistical knowledge in the professional sense, statistician has social, scientific, and ethical values.X
1010. A statistician must have the ability to social sensitivity and socialization.X
1111. During the process of inference, a statistician uses time efficiently with the analytical thinking ability.X