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FACULTY OF SCIENCE / MATHEMATICS / MAT4036 - AFFIN DIFFERENTIAL EQUATIONS II
GENERAL INFORMATION ABOUT THE COURSE
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Course Title
Theoretical
Practical
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Turkish Name of the Course
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Course Objective
The aim is to establish an infrastructure for advanced research in differential geometry.
Brief Content of the Course
Affine convexity, ovaloid and ellipsoid, Minkowski integral formula and its applications and its relation to sustainable engineering, affine minimal hypersurfaces, affine paraboloids, affine immersions from R^n to R^n+1, Cartan-Norden theorem, affine locally symmetric hypersurfaces, projective structures and projective immersions.
Prerequisites
Course Objectives
Course Objectives
1
Learn the concepts of affine convexity, ovaloids, and ellipsoids.
2
Learn the Minkowski integral formula and its applications.
3
Learn affine minimal hypersurfaces.
4
Learn affine paraboloids.
5
Learn affine immersions from R^n to R^n+1.
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Course Category
Course Category
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Mathematics and Basic Sciences
Basic Vocational Courses
Expertise /Field Courses