GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MULTIVARIABLE CALCULUS II/MAT204A
Course Title: MULTIVARIABLE CALCULUS II
Credits 3 ECTS 6
Semester 4 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Prof.Dr. Ziya ARGÜN
 -- WEB SITE(S) OF LECTURER(S)
  www.gazi.edu.tr/~ziya
 -- EMAIL(S) OF LECTURER(S)
  ziya@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
They should be able to construct a partition of a region in the space and Riemann sums of a multivariable function
They should be able to understand the concept of multiple integral and establish the properties of multiple integral
They should be able to apply the multiple integral to the real life situations
They should be able to notice the role of changing variables to calculate multiple integrals
They should be able to understand the relationship between the integrals on intervals and rectangular regions and the integrals on lines and surfaces
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face and acquisition some experiment related with the concepts in this course
 -- PREREQUISITES AND CO-REQUISITES
  Before this course, the lectures should be taken like Calculus I (single variables), Analytic Geometry, Linear
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Introduction and explain the aims of this course
2. Week  The definite integral of the functions of several variables
3. Week  Iterated integrals of multivariable functions
4. Week  Double integrals over general regions
5. Week  triple integrals over general regions
6. Week  multible integrals in polar, cylindirical and spherical koordinates koordinates
7. Week  changing of the variables
8. Week   vector valued functions their properties
9. Week  arc length and calculating area of a surface
10. Week  The concepts of gradient, divergence and vector fields
11. Week  Independence of integrals from the path
12. Week  Green Theorem and its applications
13. Week  Orientation of surfaces and integrals of vector fields over surfaces
14. Week  Curl and Stokes Theorems and their applications
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  James Steward; “ Multivariable Calculus”, Second Edition” Wilfred Kaplan ; “Advanced Calculus”, Fourth Edition
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Exploration, Discussion, Brain storm, Demonstration,Concept map, inquiry, problem solving, discovery, diagnostic, computer and internet based, explor
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
25
 Assignment
1
10
 Exercises
1
5
 Projects
1
10
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
2
28
 Practising Hours of Course Per Week
14
2
28
 Reading
14
1
14
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
30
30
 Final and Studying for Final
1
30
30
 Other
0
 TOTAL WORKLOAD: 
144
 TOTAL WORKLOAD / 25: 
5.76
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting informationX
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X