1. SECOND CYCLE - MASTER'S DEGREE
  2. THE GRADUATE SCHOOL OF NATURAL AND APPLIED SCIENCES
  3. PHYSICS DEPARTMENT
  4. 1401 Physics
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
FIZ 517DIFFERENTIAL GEOMETRY IN PHYSICS3 + 02nd Semester7,5

COURSE DESCRIPTION
Course Level Master's Degree
Course Type Elective
Course Objective The aim of this course is to train beginning graduate students in exterior calculus, covariant differentiation, and the identification and uses of submanifolds and vector bundles
Course Content Exterior Algebra, Exterior Calculus on Euclidean Space, Submanifolds of Euclidean Spaces, Differential Manifolds, Vector Bundles, Forms and Metrics, Connection on Vector Bundles
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1To learn the fundamentals of modern differential geometry.
2To prepare doing research.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09
LO 00153  4    
LO 00253  4    
Sub Total106  8    
Contribution530040000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)13339
Hours for off-the-classroom study (Pre-study, practice)14456
Assignments71070
Mid-terms11515
Final examination11515
Total Work Load

ECTS Credit of the Course





195

7,5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2017-2018 Spring1MUZAFFER ADAK


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
FIZ 517 DIFFERENTIAL GEOMETRY IN PHYSICS 3 + 0 1 Turkish 2017-2018 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. MUZAFFER ADAK madak@pau.edu.tr FEN B0305 %70
Goals The aim of this course is to train beginning graduate students in exterior calculus, covariant differentiation, and the identification and uses of submanifolds and vector bundles
Content Exterior Algebra, Exterior Calculus on Euclidean Space, Submanifolds of Euclidean Spaces, Differential Manifolds, Vector Bundles, Forms and Metrics, Connection on Vector Bundles
Topics
WeeksTopics
1 Manifolds and Vector Fields
2 Tensors and Exterior Forms
3 Integration of Differential Forms
4 The Lie Derivative
5 The Poincare Lemma and Potentials, Holonomic and Nonholonomic Constarints
6 R3 and Minkowski Space
7 The Geometry of Surfaces in R3
8 Midterm
9 Covariant Differentiation and Curvature
10 Geodesics
11 Relativity, Tensors and Curvature
12 Harmonic Forms
13 Lie Groups
14 Vector Bundles in Geometry and Physics
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