MATH& 151 - Calculus I
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. Note: Fulfills the quantitative or symbolic reasoning course requirement at BC.
Prerequisite(s): Placement by assessment or MATH 142 with a C- or better, or Advanced Placement score of 2 or higher on AB or BC exam.
- 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.
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