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Dec 05, 2020
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# MATH& 151 Calculus I

5 credits
This first-quarter calculus course includes the study of function limits, and emphasizes differential calculus and its applications.

Prerequisites: MATH& 142 &nbsp;(or placement into MATH& 151)

Course Outcomes
Upon successful completion of this course students will be able to:

• Describe a function verbally, algebraically, graphically, and numerically
• Define and calculate limits
• Define the derivative of a function
• Interpret derivatives as slopes of tangent lines and rates of change
• Differentiate polynomial, exponential, logarithmic, and trigonometric functions
• Apply the product, quotient, and chain rules to differentiate functions
• Use implicit differentiation
• Graph functions and their derivatives
• Use linear approximation to estimate the value of a function
• Calculate the maximum and minimum values of a function
• Apply L’Hospital’s rule for solving indeterminate forms
• Approximate solutions using curve sketching
• Define antiderivative and find the antiderivative of a function
• Solve application problems using differential calculus
• Use problem solving skills, pattern recognition, substitution, structural rules, and quantitative modeling to solve problems involving differential calculus and limits

Global Outcomes
This course teaches to the global outcome of critical thinking.

Total Hours: 50 Lecture Hours: 50