GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED CALCULUS I/MAT- 205
Course Title: ADVANCED CALCULUS I
Credits 5 ECTS 6
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
   Turkish
 -- NAME OF LECTURER(S)
  Prof.Ahmet Ali Öçal
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/aliocal
 -- EMAIL(S) OF LECTURER(S)
  aliocal@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
will be able to Explain the methods and techniques of basic mathematics
will be able to calculate limits of functions of several variables.
will be able to solve problems dealing with partial derivatives.
will be able to sketch the graphs of functions.
will be able to find local and absolute maxima and minima.




 -- 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   Pointwise and uniform convergence of function sequences Gradient-Divergence-Curl
2. Week  the relationship of Uniform convergence with integral and derivative
3. Week  Uniform convergence of function series, its relationship with integral and derivative
4. Week  Radius of convergence of power series, and the range
5. Week  Power series , integration and differentiation of power series
6. Week  6. Week vector valued functions, Limit and continuity of vector valued functions 6. Week vector valued functions, Limit and continuity of vecto
7. Week  Curves, the derivative of vector valued functions
8. Week   Mid-Term Exam
9. Week  Lengths of curves in space, integral of vector valued functions
10. Week  Funtions of Several Variables
11. Week  Limits and Continuity
12. Week  General Chain Rule, full functions, Implicit Functions
13. Week  Taylor expansion of functions of two variables, Maxima and minima
14. Week  Regional transforms, Functional Dependency,
15. Week  Vector fields, differentiation under the integral sign
16. Week   Final Exam
 -- RECOMMENDED OR REQUIRED READING
   Balcı Mustafa, (2000), Analiz I, Balcı Yayınları. B.Yurtsever, Mathematical Analysis Courses, Vol.I( part II),1981, Economist publishing, Ankar
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  Not Applicable
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
0
0
 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
14
2
28
 Reading
12
2
24
 Searching in Internet and Library
9
2
18
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
12
12
 Final and Studying for Final
1
20
20
 Other
0
 TOTAL WORKLOAD: 
158
 TOTAL WORKLOAD / 25: 
6.32
 ECTS: 
6
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X