Understand the meaning of the derivative in terms of rate of change and local linear approximation and use these derivatives to solve a variety of problems.
Understand the meaning of the definite integral as a limit of Riemann sums as well as the net accumulation of change, and use these integrals to solve a variety of problems.
Understand the relationship between the derivative and the definite integral.
Prerequisites: Successful completion of Precalculus
Larson, Hostetler and Edwards.(2006) Calculus with analytic geometry. Evenston, IL., Houghton Mifflin Company
- Limits and Their Properties
- Applications of Differentiation
- Logarithmic, Exponential and other Transcendental Functions
- Differential Equations
- Application of Integration