GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
ADVANCED CALCULUS I/MAT2005
Course Title: ADVANCED CALCULUS I
Credits 4 ECTS 6
Semester 3 Compulsory/Elective Compulsory
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist. Prof. Dr. Kadir KANAT
 -- WEB SITE(S) OF LECTURER(S)
  
 -- EMAIL(S) OF LECTURER(S)
  kadirkanat@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Understand the structure of multivariate functions.
Understand the Limits and continuity of multivariable functions
Limits, continuity definitions of vector valued functions.
Calculates the extreme values for a given function.
Calculate derivatives and integrals of the power series
Given a function leads to Taylor and Maclaurin series.
Calculate the derivative of a parameter dependent integrals.
Understand the vector fields, differentiation under the integral sign.
 -- 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 sequences of functions
2. Week  The relations of uniform convergence with the integral and derivative
3. Week  Uniform convergence of series of functions, integral and derivative relationship
4. Week  Radius of convergence of power series and range
5. Week  Derivatives and integrals of the power series
6. Week  Vector valued functions, limit and continuity of vector valued functions
7. Week  Curves,Derivatives of vector valued functions
8. Week  Midterm Exam
9. Week  Length of space curves,Integrals of vector valued functions
10. Week  Multivariable Functions
11. Week  Limits and Continuity
12. Week  General Chain Rule, complete functions, Implicit Functions cylindrical-polar Laplacian in Spherical Coordinates
13. Week  Taylor expansion of the function of two variables, the maximum and minimum
14. Week  Region transformations,Functional Dependencies
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, Ankara
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Örn: 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
3
42
 Practising Hours of Course Per Week
14
2
28
 Reading
0
 Searching in Internet and Library
6
4
24
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
5
5
25
 Final and Studying for Final
7
5
35
 Other
0
 TOTAL WORKLOAD: 
154
 TOTAL WORKLOAD / 25: 
6.16
 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 train individuals who are equipped with enough mathematicsX
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
10The skill to have professional and ethical responsibilityX