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:
- Calculate limits of functions using graphs, numerical data, and analytically.
- Define the derivative of a function and explain what that means in graphical and applied contexts.
- Use the general differentiation rules to calculate derivatives of polynomial, rational and common transcendental functions and combinations of those functions.
- Apply the ideas and techniques of derivatives to solve problems of maximum/minimum and rates of change.
- Use derivatives to describe the shapes of graphs of functions.