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# MATH& 151Calculus I• 5 Cr.

## Description:

Introduces the concepts of limits, derivatives, and integrals. Topics include techniques and applications of derivatives of algebraic and Transcendental functions. Students begin working with antiderivatives. Either MATH& 151 or MATH& 148 may be taken for credit, not both. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH& 142 with a C- or better, or Advanced Placement score of 2 or higher on AB or BC exam.

## Outcomes:

After completing this class, students should be able to:

• To calculate limits of functions given by formulas and graphs
• To determine whether a function given by a graph or formula is continuous at a given point or on a given interval
• To give the definition of a derivative and to interpret that definition graphically, as a rate of change, and, if possible, as a formula
• To calculate derivatives of polynomial, rational, common transcendental functions, and combinations of these functions
• To apply the ideas and techniques of derivatives
• In related rate problems
• In parametric equation models
• In finding extreme values of modeling functions given by formulas or graphs
• To predict, construct and interpret the shapes of graphs
• To estimate a slope, a rate of change and the reasonableness of a result
• To attach the appropriate units to an answer

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