MATH& 151 Calculus I • 5 Cr.
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.
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