The Larson Calculus program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
This book covers the standard material for a one-semester course in multivariable calculus.
The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications.
In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete ...
z This next example similarly shows how one can visualize a surface without using graphing software. ... Now set z = 0. This simplifies to the subset satisfying x2 + y2 = a2 which is a curve (circle) in the xy-plane.
Example 1 Verify Green's Theorem for F ( x , y ) = -3yi + 6xj and R = { ( x , y ) : x2 + y2 < 11 . ... We have ff.dr = L " ( -3 since it d d -3 sin ( t ) = cos ( t ) + 6 cos ( t ) = sin ( t ) ) dt dt dt since ) di ( 3 sin ?
Active Calculus Multivariable is different from most existing texts in at least the following ways: The style of the text requires students to be active learners; there are very few worked examples in the text, with there instead being 3 or ...
Aiming to "modernise" the course through the integration of Mathematica, this publication introduces students to its multivariable uses, instructs them on its use as a tool in simplifying calculations, and presents introductions to geometry ...
Multivariable Calculus with Mathematica is a textbook addressing the calculus of several variables.
Basic Multivariable Calculus
The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics.