MATH& 151 - Calculus I

Credits: 5
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

Course Outcomes:
Students who successfully complete this class will be able to:

1. Evaluate limits of functions and use limits to determine continuity.
2. Find the derivative of functions using the definition, and understand the derivative as a rate of change.
3. Find the derivatives of functions including exponential, logarithmic, and trigonometric.
4. Apply the various rules and techniques of differentiation such as the power, product, quotient, chain rules, and implicit differentiation.
5. Apply derivatives to solve application problems, and determine the behavior of functions.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. 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.