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MTH 201 (Calculus) Course Objectives from GVSU Syllabus of Record

  1. Apply the definite integral to compute the total change of a function from the rate of change and to compute area.
  2. State the Fundamental Theorem of Calculus.
  3. Describe the relation between the definite integral of a function and areas between the graph of that function and the horizontal axis.
  4. Understand the definition of the definite integral as the limit of a Riemann sum.
  5. Compute derivatives using the product rule, quotient rule, and chain rule.
  6. Conceptually understand and evaluate limits, including L'Hopital's Rule.
  7. State the formal definition of the derivative of a function and the purpose of each symbol in that definition.
  8. Discuss the interpretations of the derivative as the slope of a tangent line and an instantaneous rate of change of a function.
  9. Determine the tangent line to a function at a specific point on the graph of the function.
  10. Be fluent with the concept of function and be able to determine information about a function through the processes of differentiation and integration.
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