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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.
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