Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Tensor Calculus

Jonathan Walters via YouTube

Start learning Write review
Udacity Ad

Get 50% Off Udacity Nanodegrees — Code CC50

Learn More → Coursera Ad

Get Coursera Plus for 40% off

Learn More →

Overview

Coursera Flash Sale
40% Off Coursera Plus for 3 Months!
Grab it
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.

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

4.5 rating, based on 2 Class Central reviews

Start your review of Tensor Calculus

  • Profile image for Нурсултан Ауезов
    Нурсултан Ауезов
    This course on Tensor Calculus is very clear and well-structured. The instructor explains each concept step by step, making it easy to follow even complex topics. The examples are practical and help to understand the theory better. I highly recommend it to anyone interested in advanced mathematics.
  • Profile image for Swapna 92
    Swapna 92
    1
    The 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.
Start learning

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Sign up for free
Someone learning on their laptop while sitting on the floor.