MAT 342E - diferansiyel Geometri
Dersin Amaçları
To give the student essentials of curves and surfaces in 3-dimension,
2. To reinforce their advanced calculus and linear algebra knowledge and to give an ability to apply this knowledge on geometry problems
Dersin Tanımı
Differential geometry of curves; osculating plane, curvature and torsion, Frenet?s trihedral, Frenet?s formulas, osculating sphere. Helices, involutes and evolutes, Bertrand?s curves. Natural equations, the fundamental theorem of the theory of curves. Differential geometry of surfaces; first and second fundamental forms of a surface, normal curvature, the lines of curvature, asymptotic curves, Dupin indicatrix, Meunier?s theorem, mean curvature, Gaussian curvature. Gauss?s Theorema Egregium.
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Koordinatörleri
Gülçin Çivi Bilir
Dersin Dili
İngilizce
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