Math 303 is a course designed to introduce students to topics related to tensor calculus and curvilinear coordinates. This course covers mathematics related to Matrices, with a focus on tensor notation and linear algebra. It also covers curvilinear coordinates, contravariant and covariant bases, Einstein summation notation, outer product, inner product, contraction, metric tensor, and raising and lowering indices. Additionally, students will be introduced to the Christoffel symbols and the covariant derivative. This course is aimed at providing students with an understanding of Tensors and their applications.
Overview
Syllabus
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.
Taught by
Jonathan Walters
Reviews
4.0 rating, based on 1 Class Central review
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Swapna 92The videos were so good and helpful to know about tensors, the presentation was so good and interesting that we could learn many topics and clear our doubts, thank you so much for such good classes.
