Catalog 2023-2024 
    
    Jun 14, 2024  
Catalog 2023-2024 [ARCHIVED CATALOG]

MATH& 151 Calculus I

5 credits


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

This course meets the Quantitative Reasoning  general education distribution requirement.

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

General Education Distribution Area Outcomes
Students who successfully complete courses in the Quantitative Reasoning distribution area will be able to:

  • Gather, organize, and interpret data using multiple approaches
  • Develop and use mathematical models to describe and evaluate physical situations
  • Communicate problem-solving strategies and mathematically justify solutions
  • Select and utilize appropriate technology to analyze mathematical problems

Total Hours: 50 Theory (Lecture) Hours: 50