differential geometry questions - important solved problems of tangent - differential geometry 🔥

Dear students in this lecture we will discuss some important repeated questions of Differential geoemtry . Subscribe my channel to get more video lectures

Course Instructor: Malik Aqeel (Math Tutor 2)
Course Title: Differential Geometry
Course Code: MATH4117
Credit Hours: 3(3+0)
Objectives:
The main objectives of this course are to:
 Describe basic ideas curves, curvatures and torsions
with examples.
 Understand ideas of surfaces.
 Understand ideas and uses of integral transforms and
Laplace transform.
 Apply ideas of Guass theorem and understand the
topology of surfaces.
Course Outline:

Curves with Torsion: Curvature, Tangent, Principal, normal, Binormal, Torsion The osculating,
normal and the rectifying planes, Parameterization and reparameterization of space curves, The
Serret - Frenet Formulae, Serret-Frenet Form for plane curves, Arc length parameterization of
curve and related curves, Spherical Curvature, Helices, Fundamental Theorem of plane and
space curves, Involutes and evolutes.
Theory of surfaces: Definition and examples of surfaces, Examples of quadratic surfaces,
Generalized cylinders, surface of revolutions, Generalized cones, Geometry and metric of
surfaces, First and second fundamental forms, Gauss map, Tangent and Normal plan, One and
two parameter family of surfaces, Developable associated with the curve, shape operator,
Weingartann equation, minimal surfaces and mean curvature, Gauss theorem
Classification of surfaces: First and second curvature, Euler’s theorem, Euler characteristic,
Meisner theorem.
Recommended Books:
 Millman, R. S. and Parker, G. D. Elements of Differential Geometry. New Jersey,
Prentice-Hall Inc.
 Weatherburn, C. E. Differential Geometry. New Jersey, Prentice-Hall Inc.
 Neil, B. O. Elements of Differential Geometry. Academic Press.
 Goetz, A. Introduction to Differential Geometry. Massachusetts, Addison-Wesley

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__________________________Complex Analysis Lectures series_____________________________

_______________________Real Analysis lecture series______________________________________

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[amin]

pls upload complete Differential geometry video lectures.

[msaleem]

sir plz chapter 9 krwa dein first and second fundamental forms chaper name ha