Topical Outline with Specific Course Objectives
- Review of Basic functions and Graphs
- Recognize algebraic functions in various forms.
- Understand and use function notation in any setting.
- Limits and Continuity
- Find limits graphically and numerically.
- Use limits to describe asymptotic behavior.
- Determine the continuity of functions graphically
- The Derivative
- Define, discuss, and interpret the concept of the derivative algebraically, verbally, numerically, and graphically.
- Find the derivative of a function using differentiation rules.
- Identify the major characteristics of graphs and relate them to first and second derivatives.
- Apply approximating techniques for derivatives.
- The Integral
- Demonstrate an understanding of the concept of the definite integral and describe the difference between the definite and indefinite integral.
- Find the indefinite integral of a function using antidifferentiation rules.
- Find and interpret the definite integral numerically, algebraically, and graphically.
- State and apply the Fundamental Theorem of Calculus.
- Use definite integrals to find areas.
- Apply approximating techniques for integrals.
Department Policies
- Graphing Calculator Required
- Comprehensive Final