Math 241

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​

Satellite Campus Information: Students enrolled at other campuses should contact the math faculty for the specific campus for additional information about this course.

• Dover Campus: Brad Thompson, bthompso@udel.edu
• Georgetown Campus: Matthew Willis, mjwillis@udel.edu
• Wilmington Campus: Alexia M intos, amintos@udel.edu ​