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Multivariable Calculus: From Numerical, Graphical, and Symbolic Points of View
Multivariable Calculus From Numerical Graphical and Symbolic Points of View Author:Ostebee, Arnold Ostebee, Paul Zorn Ostebee and Zorn's approach applies reform principles to a rigorous calculus text. Conceptual understanding is the main goal of the text, and looking at mathematics from many representations (graphical, symbolic, numerical) is the main strategy for achieving this type of understanding. The key strengths of the text include combining symboli... more »c manipulation with graphical and numerical representation, exercises of a varied nature and difficulty, and explanations written to be understandable to student readers.
A student-friendly and approachable tone, numerous examples, critical-thinking questions, and supportive details and commentary help students successfully read and use the text.
Representation of mathematical concepts through a variety of viewpoints supports different learning styles. Students see the math worked out through multiple representationsgraphically, numerically, and symbolicallyto enhance conceptual understanding.
Proofs presented at point of use contribute significantly to helping students understand rigorous calculus concepts and develop analytic skills.
Varied exercise sets offer instructors more options for creating homework assignments. Basic Exercises, which are straightforward and focus on a single idea, help students build basic skills.
Further Exercises are a little more ambitious and may require the synthesis of several ideas, a deeper or more sophisticated understanding of basic concepts, or the use of a computer algebra system such as Maple or Mathematica. These are available for professors to assign when they would like to challenge their students and incorporate technology into their course.
Answers to Select Exercises can be found in the back of the text, enabling students to get immediate feedback and assess their understanding of the material.
Interludes are brief project-oriented expositions, with related exercises, that extend the concepts presented in the chapter. Professors have the opportunity to include these topics found at the end of the chapter as independent work, group work, or as a classroom activity. The Interludes include theoretical problems and proofs intended to enhance student understanding of the key calculus concepts.