Discovery Project: Complementary Coffee Cups. Discovery Project: Patterns in Integrals. Integration Using Tables and Computer Algebra Systems. Integration of Rational Functions by Partial Fractions. Writing Project: The Origins of L'Hospital's Rule. Indeterminate Forms and L'Hospital's Rule. Applied Project: Where to Sit at the Movies. *General Logarithmic and Exponential Functions. Exponential Functions and Their Derivatives. (Instructors may cover either Sections 7.2-7.4 or Sections 7.2*-7.4*). Average Value of a Function.ĮXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS. The Substitution Rule.Īreas between Curves. Writing Project: Newton, Leibniz, and the Invention of Calculus. Indefinite Integrals and the Net Change Theorem. Limits at Infinity Horizontal Asymptotes. How Derivatives Affect the Shape of a Graph. Applied Project: The Calculus of Rainbows. Rates of Change in the Natural and Social Sciences. Applied Project: Where Should a Pilot Start Descent?. Applied Project: Building a Better Roller Coaster. Writing Project: Early Methods for Finding Tangents. Continuity.ĭerivatives and Rates of Change. Mathematical Models: A Catalog of Essential Functions.
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