Tensor Calculus

Dive into the world of tensor calculus through this comprehensive 11-hour video series. Learn about matrices, curvilinear coordinates, Einstein summation notation, and tensor operations. Explore contravariant and covariant bases, tensor notation in linear algebra, and the metric tensor. Advance to more complex topics like raising and lowering indices, Christoffel symbols, and the covariant derivative. Gain a solid foundation in tensor calculus concepts and their applications in mathematics and physics.

Math 303 -- Matrices Review Continued.
Curvilinear Coordinates and Contravariant and Covariant Bases.
Curvilinear Coordinates Continued.
Einstein Summation Notation for Tensor Calculus.
Math 303- Ch7 and Cstrong worksheets.
Tensor Notation and Matrices/Linear Algebra.
Tensor Notation for Matrices Worksheet.
Introduction to and Definition of Tensors.
General Tensors Definition and Examples.
Tensor Operations | Outer Product | Inner Product | Contraction.
Intro to the Metric Tensor.
Metric Tensor Lecture Continued.
Raising and Lowering Indices and Christoffel Symbols Intro Lecture.
Tensor Calculus Lecture: The Covariant Derivative.