GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
GEOMETRY I/MAT4005
Course Title: GEOMETRY I
Credits 4 ECTS 6
Semester 7 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Assist.Prof.Dr. Mustafa ÖZKAN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/ozkanm
 -- EMAIL(S) OF LECTURER(S)
  ozkanm@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
Learns functions defined on multi-dimensional spaces.
Learns continuous functions defined on multi-dimensional spaces.
Learns differentiable of functions of several real variables.
Learns the directional derivative.
Learns the inverse function theorem and their application.
 -- 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  Some Remarks on Functions
2. Week  Description of Functions Defined on a multi-dimensional space, Image Sets and Continuity
3. Week  Some Theorems with Continuity
4. Week  Description Cluster Connected Functions and Features
5. Week  Defined on Multi-Dimensional Space Differentiation of Functions and Derivatives at a Point
6. Week  Meaning Getaux the differentiability and Directional Derivative
7. Week  Exam
8. Week  Relations between derivatives and Directional Derivative
9. Week  Multi-dimensional Partial Derivatives of Functions Defined on Spaces
10. Week  Multi-Dimensional Space of Functions Defined on k-th of the Order Differential
11. Week  The concept of local and local k-th Order Diferentiablity
12. Week  Differentiable Functions
13. Week  Local Theorems
14. Week  Multi-Dimensional Tangent Vectors in Euclidean Space
15. Week  Vector Fields and Fields of Covector
16. Week  Fınal
 -- RECOMMENDED OR REQUIRED READING
   J.R.L.Webb,Functions of Several Real Variables,Ellis Horwood,1991.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Practise
 -- WORK PLACEMENT(S)
  None
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
20
 Assignment
4
15
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
2
15
 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
4
56
 Practising Hours of Course Per Week
0
 Reading
0
 Searching in Internet and Library
4
4
16
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
3
10
30
 Final and Studying for Final
4
15
60
 Other
0
 TOTAL WORKLOAD: 
162
 TOTAL WORKLOAD / 25: 
6.48
 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