MAC2233 - Survey of Calculus

Topical Outline with Specific Course Objectives

  1. Review of Basic functions and Graphs
    1. Recognize algebraic functions in various forms.
    2. Understand and use function notation in any setting.
  2. Limits and Continuity
    1. Find limits graphically and numerically.
    2. Use limits to describe asymptotic behavior.
    3. Determine the continuity of functions graphically
  3. The Derivative
    1. Define, discuss, and interpret the concept of the derivative algebraically, verbally, numerically, and graphically.
    2. Find the derivative of a function using differentiation rules.
    3. Identify the major characteristics of graphs and relate them to first and second derivatives.
    4. Apply approximating techniques for derivatives.
  4. The Integral
    1. Demonstrate an understanding of the concept of the definite integral and describe the difference between the definite and indefinite integral.
    2. Find the indefinite integral of a function using antidifferentiation rules.
    3. Find and interpret the definite integral numerically, algebraically, and graphically.
    4. State and apply the Fundamental Theorem of Calculus.
    5. Use definite integrals to find areas.
    6. Apply approximating techniques for integrals.

Department Policies

  • Graphing Calculator Required
  • Comprehensive Final
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