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