Catalog 2022-2023 
    
    Jan 27, 2023  
Catalog 2022-2023

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  (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

Total Hours: 50 Theory (Lecture) Hours: 50