1. THIRD CYCLE - DOCTORATE DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. MATHEMATICS DEPARTMENT
  4. 1441 Mathematics
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
MAT 559APPLIED DIFFERENTIAL GEOMETRY II3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective Teaching of computer modeling and simulation of mechanical systems.
Course Content Minimal Surfaces and Modeling of Minimal Surface’s Properties with Computer Programming, Isothermal Coordinates and Applications, Björling Problem and Computer Applications, Manifolds, Covariant Derivatives, Cristoffel Symbols, Curvatures and Computer Applications, Mechanical Systems and Computer Applications of Mechanical Systems.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Identifies the Minimal Surfaces and Modeling of Minimal Surface’s Properties with Computer Programming.
2Learns the Isothermal Coordinates and Applications, Björling Problem and Computer Applications.
3Knows the Manifolds, Covariant Derivatives, Cristoffel Symbols, Curvatures and Computer Applications.
4Realizes the Mechanical Systems and Computer Applications of Mechanical Systems.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08
LO 0014  5   4
LO 0025 44   5
LO 0034 54   4
LO 0045 45   5
Sub Total18 1318   18
Contribution50350005

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14798
Assignments155
Mid-terms11515
Final examination13535
Total Work Load

ECTS Credit of the Course





195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2015-2016 Spring1ŞEVKET CİVELEK
Details 2012-2013 Spring1CANSEL AYCAN


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
MAT 559 APPLIED DIFFERENTIAL GEOMETRY II 3 + 0 1 Turkish 2015-2016 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
FEN A0305 %80
Goals Teaching of computer modeling and simulation of mechanical systems.
Content Minimal Surfaces and Modeling of Minimal Surface’s Properties with Computer Programming, Isothermal Coordinates and Applications, Björling Problem and Computer Applications, Manifolds, Covariant Derivatives, Cristoffel Symbols, Curvatures and Computer Applications, Mechanical Systems and Computer Applications of Mechanical Systems.
Topics
WeeksTopics
1 The introduction to Field Theory
2 The geometric applications of Field Theory
3 Generalized Field Theory and its applications
4 Generalized Field Theory and its applications
5 Lagrenge-Euler Fields
6 Mechanical Applications of Lagrenge Fields
7 Euler Fields
8 Mechanical Applications of Euler Fields
9 Midterm Exam
10 higher order Lagrenge-Euler fields
11 Mechanical Applications of higher order Lagrenge-Euler fields
12 Jet manifolds, Jet Fields,
13 Donder-Hamilton field equations the properties
14 Bopp-Podolsky field equations the properties of Poisson Operator
Materials
Materials are not specified.
Resources
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes