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  • MA101: Single-Variable Calculus I (2018.01)
  • Sections
  • Course Introduction
  • Unit 1: Analytic Geometry
  • Unit 2: Instantaneous Rate of Change: The Derivative
  • Unit 3: Rules for Finding Derivatives
  • Unit 4: Transcendental Functions
  • Unit 5: Curve Sketching
  • Unit 6: Applications of the Derivative
  • Unit 7: Integration
  • Unit 8: Applications of Integration
  • Final Exam
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MA101: Single-Variable Calculus I (2018.01)

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Back to course 'MA101: Single-Variable Calculus I (2018.01)'
  • Unit 5: Curve Sketching

    This unit will ask you to apply a little critical thinking to the topics this course has covered thus far. To properly sketch a curve, you must analyze the function and its first and second derivatives in order to obtain information about how the function behaves, taking into account its intercepts, asymptotes (vertical and horizontal), maximum values, minimum values, points of inflection, and the respective intervals between each of the above. After collecting this information, you will need to piece it all together in order to sketch an approximation to the graph of the original function.

    Completing this unit should take you approximately 10 hours.

    • Unit 5 Learning Outcomes Page
    • 5.1: Maxima and Minima

    • 5.2: The First Derivative Test

    • 5.3: The Second Derivative Test

    • 5.4: Concavity and Inflection Points

    • 5.5: Asymptotes and Other Things to Look For

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