Nov 30, 2020
MATH& 151 Calculus I5 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
This course teaches to the global outcome of Critical Thinking.
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
Total Hours: 50 Lecture Hours: 50