MATH& 151 - Calculus I
The first course of a four-quarter calculus sequence. Introduces students to differential calculus and related applications. Topics include limits, derivatives of algebraic and transcendental functions, optimization, linearization, numerical methods, modeling. Graphing calculator required.
Prerequisite: MATH& 142 or MATH 106 with a grade of 2.0 or higher; or appropriate placement math placement.
Satisfies Requirement: Natural Science and Quantitative Skills
Students who successfully complete this class will be able to:
- Evaluate limits of functions and use limits to determine continuity.
- Find the derivative of functions using the definition, and understand the derivative as a rate of change.
- Find the derivatives of functions including exponential, logarithmic, and trigonometric.
- Apply the various rules and techniques of differentiation such as the power, product, quotient, chain rules, and implicit differentiation.
- Apply derivatives to solve application problems, and determine the behavior of functions.
Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.
Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.
Translate data into various formats such as symbolic language, equations, graphs, and formulas.
- Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.
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