GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MULTIVARIABLE CALCULUS I/MAT203A
Course Title: MULTIVARIABLE CALCULUS I
Credits 3 ECTS 5
Semester 3 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 organize the data by sequences and infinite series and make some mathematical inferences
They should be able to understand the concept sequences and infinite series and decide whether a sequence or series is convergent
They should be able to establish some relations related with the concept of convergency of sequences and infinite series
They should be able to understand and make geometric interpretation of the concepts limit and continuity; partial derivative of multivariables
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face and problem solving
 -- PREREQUISITES AND CO-REQUISITES
  Before this course, the lectures should be taken like Calculus I (single variables), Analytic Geometry, Lnear Algebra and Foundations of Mathematics
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Introduction to lecture (aims, works, etc.)
2. Week  Sequences and infinite series
3. Week  Consequences and series
4. Week  Sequence and series of functions
5. Week  Uniform convergence and the Weierstrass M. test
6. Week  The properties of Uniform convergence sequence and series of functions
7. Week  Introduction functions of several variables and Continuity of functions of several variables
8. Week  Partial derivatives and higher order partial derivatives
9. Week  Geometric interpretations of partial derivatives
10. Week  Total differentials and Jacobiyen matrix
11. Week  Applications of total differentials
12. Week  Implicit and inverse function theorems
13. Week   Minima and maxima
14. Week   Lagrange Multipliers
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
0
 Searching in Internet and Library
14
1
14
 Designing and Applying Materials
14
1
14
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
0
 Final and Studying for Final
1
20
20
 Other
1
20
20
 TOTAL WORKLOAD: 
124
 TOTAL WORKLOAD / 25: 
4.96
 ECTS: 
5
 -- 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