GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED CALCULUS I/MAT2003
Course Title: ADVANCED CALCULUS I
Credits 5 ECTS 7
Course Semester 3 Type of The Course Compulsory
COURSE INFORMATION
 -- (CATALOG CONTENT)
 -- (TEXTBOOK)
 -- (SUPPLEMENTARY TEXTBOOK)
 -- (PREREQUISITES AND CO-REQUISITES)
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- COURSE OBJECTIVES
 -- COURSE LEARNING OUTCOMES
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.
will be able to learn about the analysis of vector-valued functions
will be able to learn about the double integrals
 -- MODE OF DELIVERY
  The mode of delivery of this course is face to face
 --WEEKLY SCHEDULE
1. Week  Pointwise and uniform convergence of function sequences
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  Uniform convergence of function series, its relationship with integral and derivative
5. Week  Vector valued functions, Limit and continuity of vector valued functions
6. Week  Curves, the derivative of vector valued functions
7. Week  Lengths of curves in space, integral of vector valued functions
8. Week  Mid-Term Exam
9. Week  Funtions of Several Variables,Limits and Continuity for functions of several variables
10. Week  General Chain Rule, full functions, Implicit Functions
11. Week  Taylor expansion of functions of two variables, Maxima and minima, Regional transforms, Functional Dependency,
12. Week  Vector fields, differentiation under the integral sign
13. Week   double integrals
14. Week  Transformation of regions on double integrals
15. Week  Applications of double integrals
16. Week  Final Exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
25
 Assignment
3
15
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
40
 Percentage of Final Exam to Total Score  
60
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
4
56
 Weekly Tutorial Hours
14
2
28
 Reading Tasks
12
2
24
 Searching in Internet and Library
9
2
18
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
6
3
18
 Final Exam and Preperation for Final Exam
5
5
25
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
169
 TOTAL WORKLOAD / 25: 
6.76
 Course Credit (ECTS): 
7
 -- 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
 -- NAME OF LECTURER(S)
   ( Prof.Dr. Nurhayat İSPİR)
 -- WEB SITE(S) OF LECTURER(S)
   ( http://websitem.gazi.edu.tr/site/nispir)
 -- EMAIL(S) OF LECTURER(S)
   (nispir@gazi.edu.tr)