As a component of the Dana Center Mathematics Pathways (DCMP) curricular offering, the Pathway to Calculus serves intermediate-algebra-ready students who plan to pursue degrees in science, technology, engineering, or mathematics and who plan to take one or more of the traditional Calculus courses.
This pathway consists of two college-level courses, Reasoning with Functions 1 (RF1) and Reasoning with Functions 2 (RF2). It is designed to help students develop a strong conceptual understanding of functions and their behavior using explicit covariational reasoning to investigate and explore quantities, their relationships, and how these relationships change.
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Reasoning with Functions 1 is a 6-credit course that provides students the algebraic tools necessary to analyze a variety of function types including linear, quadratic, polynomial, power, exponential, and logarithmic functions. The course helps students develop the algebraic proficiency necessary for math-intensive subjects. RF1 includes embedded, just-in-time instruction in the algebraic skills that would traditionally be included in an intermediate algebra course.
Students go on to use their knowledge of functions and covariational reasoning in Reasoning with Functions 2, a 4-credit course. In RF2, students model and solve problems involving algebraic and transcendental functions, and develop the algebraic tools necessary to model and solve problems using dynamic geometry and trigonometric functions and their properties.
The in-class activities, instructor resources, and accompanying homework will soon be openly available for use by any instructor.