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Mapping Diagrams from A(lgebra) B(asics) to C(alculus) and D(ifferential) E(quation)s. A Reference and Resource Book on Function Visualizations Using Mapping Diagrams (In Development-Draft Version )

Mapping Diagrams from A(lgebra) B(asics) to C(alculus) and D(ifferential) E(quation)s. A Reference and Resource Book on Function Visualizations Using Mapping Diagrams (In Development-Draft Version )

This resource will provide you with examples, explanations, exercises and problems that will help students use the power of the mapping diagram along with the three other tools to understand functions. The four ways that connect an understanding of functions are: Tables of data for "variable" quantities. Algebraic equations that determine a method for determining the value of (controlled or dependent) variable quantities uniquely from the value of other (controlling or independent) variable quantities. The visualization of data for  variable quantities using the Cartesian coordinate system. The visualization of data for variable quantities using mapping diagrams. The more one studies mathematics, the more one encounters the concept of a function. By talking about functions we come to... Show More
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