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Language: All, Products: All , Tags: calculus , Segments: All

Length: 51 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In the final webinar of this series, we’ll explain the covariant derivative. We’ll finish a presentation on surface curvature in which we'll make the connection between the Riemann curvature tensor and the curvature of a surface where the terms "principal curvatures" and "total (or Gauss...

Length: 54 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In the fourth webinar of this series, we’re discussing tensor calculus itself. Since the essence of differential calculus is a study of how infinitesimal changes affect scalar functions, extending this study to vectors and tensors leads to the Christoffel symbols (connection coefficients) that...

Length: 50 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In a series of five webinars, Dr. Robert Lopez will present the essential ideas of the tensor calculus. The central concepts are contained in three sections: Preliminaries from Multivariate Calculus, Tensor Algebra, and Tensor Calculus. In the third webinar of this series, we investigate the ques...

Length: 42 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In the second installment of the Essentials of Tensor Calculus series, Dr. Robert Lopez will explain reciprocal vectors and show that bases of tangents and gradients are reciprocal. This is important because these distinctions underpin the difference between contravariance and covariance. The transi...

Length: 43 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In a series of five webinars, Dr. Robert Lopez will present the essential ideas of the tensor calculus. The central concepts are contained in three sections: Preliminaries from Multivariate Calculus, Tensor Algebra, and Tensor Calculus. In this first webinar of the series, Dr. Lopez will begin a ...

Length: 64 Minutes

Presenter: Maplesoft

Product: Maple

In this webinar, we will look at the Rayleigh quotient for finding eigenvalues of symmetric matrices, and its relation to the Rayleigh-Ritz technique for approximating solutions of the Sturm-Liouville eigenvalue problem. The gap between optimization and approximating eigenvalues of an ODE is spanned...

Length: 54 Minutes

Presenter: Maplesoft

Product: Maple

In this webinar, Jack Weiner, Emeritus Professor of Mathematics at the University of Guelph, will present an overview of the Teaching Calculus with Maple: A Complete Kit. Leveraging both Maple and Maple T.A., the kit includes everything an instructor needs to teach Calculus 1 and Calculus 2. The con...

Length: 56 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In this webinar, Dr. Lopez will apply the techniques of “Clickable Calculus” to standard calculations in Differential Calculus. Clickable Calculus™, the idea of powerful mathematics delivered using very visual, interactive point-and-click methods, offers educators a new generat...

Length: 60 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In this webinar, Dr. Lopez will apply the techniques of “Clickable Calculus” to standard calculations in Integral Calculus. Clickable Calculus™, the idea of powerful mathematics delivered using very visual, interactive point-and-click methods, offers educators a new generation ...

Length: 55 Minutes

Presenter: Dr. Robert Lopez

Product: Maple

In this webinar, Dr. Lopez will apply the techniques of “Clickable Calculus” to standard calculations in Multivariate Calculus. Clickable Calculus™, the idea of powerful mathematics delivered using very visual, interactive point-and-click methods, offers educators a new generat...