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Last updated:

September 23, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

Differential Geometry (UNSW). This is a collection of video lectures on Differential Geometry given by Professor N. J. Wildberger. The lectures present a systematic and sometimes novel development of classical differential geometry, going back to Euler, Monge, Dupin, Gauss and many others.

Differential geometry is the application of calculus and analytic geometry to the study of curves and surfaces, and has numerous applications to manufacturing, video game design, robotics, physics, mechanics and close connections with classical geometry, algebraic topology, the calculus of several variables and mostly notably Einstein's General Theory of Relativity.

Course Curriculum

  • Lecture 01 – Classical Curves Unlimited
  • Lecture 02 – Introduction to GeoGebra Unlimited
  • Lecture 03 – Parametrized Curves and Algebraic Curves Unlimited
  • Lecture 04 – The Differential Calculus for Curves, via Lagrange! Unlimited
  • Lecture 05 – Tangent Conics and Tangent Quadrics Unlimited
  • Lecture 06 – Visualizing the Folium Surface with GeoGebra Unlimited
  • Lecture 07 – Differential Geometry with Finite Fields Unlimited
  • Lecture 08 – The Differential Calculus for Curves (II) Unlimited
  • Lecture 09 – Projective View of Conics and Quadrics Unlimited
  • Lecture 10 – Duality, Polarity and Projective Linear Algebra Unlimited
  • Lecture 11 – Duality, Polarity and Projective Linear Algebra (II) Unlimited
  • Lecture 12 – Metrical Structure and Curvature of a Parabola Unlimited
  • Lecture 13 – Curvature for the General Parabola Unlimited
  • Lecture 14 – Quadratic Curvature for Algebraic Curves Unlimited
  • Lecture 15 – Quadratic Curvature for Algebraic Curves (cont.) Unlimited

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