# 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​

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