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.

Quarters Offered: Fall, Winter, Spring

Student Outcomes/Competencies:
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