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• Introduction to differential Geometry,space curve and it's types
• Equations of tangent,normal and binormal
• Carvature and torsion of a curve and problems
• Tangent surface and theorems
• Spherical indicatrix and it's theorems and examples
• Involute and Evolutei
• Helices and it's theorems and examples
• Torsion and carvature of involutes
• Mid term exams
• Envelopes, Existence theorem of space curve
• Curves on surfaces and surface of revolution
• Helicoids, Families of curves
• Developable associated with space curves
• Developable associated with curves on surfaces
• The first and second fundamental form
• Principle carvature,Lines of carvature
• Geodesics and it's problems
• Final Term exams