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Math 241

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NOTE: The following information was taken from the generic M241 course syllabus. It is intended to serve as a reference only. This material may change from semester to semester.

Text: Calculus: Early Transcendentals UD Custom pkg by James Stewart, 7th Edition Cengage

Course Description

Current Sections

Topics Covered:

  •     Chapter 1 Functions and Models
    •         Exponential Functions (review)
    •         Inverse Functions and Logarithms (review)
  •     Chapter 2 Limits and Derivatives
    •         The Tangent and Velocity Problems
    •         The Limit of a Function
    •         Calculating Limits Using the Limit Laws
    •         Continuity
    •         Limits at Infinity: Horizontal Asymptotes
    •         Derivatives and Rates of Change
    •         The Derivative as a Function
  •     Chapter 3 Differentiation Rules
    •         Derivatives of Polynomials and Exponential Functions
    •         The Product and Quotient Rules
    •         Derivatives of Trigonometric Functions
    •         The Chain Rule
    •         Implicit Differentiation
    •         Derivatives of Logarithmic Functions
    •         Exponential Growth and Decay
    •         Related Rates
    •         Linear Approximations and Differentials (Do linear approximations)
    •         Hyperbolic Functions (Don't cover inverse hyperbolic functions)
  •     Chapter 4 Applicatons of Differentiation
    •         Maximum and Minimum Values
    •         The Mean Value Theorem
    •         How Derivatives Affect the Shape of a Graph
    •         Optimization Problems
    •         Antiderivatives
  •     Chapter 5 Integrals
    •         Areas and Distances
    •         The Definite Integral
    •         The Fundamental Theorem of Calculus
    •         Indefinite Integrals and the Net Change Theorem
    •         The Substitution Rule
  •     Chapter 9 Differential Equations
    •         Models for Population Growth 
    •         Predator-Prey Systems (optional)

Generic Course Syllabus 

Required Math Placement Test Level: C​

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Math 241
  • Department of Mathematical Sciences
  • University of Delaware
  • 501 Ewing Hall
  • Newark, DE 19716, USA
  • Phone: 302-831-2653
  • math-questions@udel.edu