Calculus I


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Math 165: Calculus I
Math 112 OR completion of Math 107 with a grade of a C or better OR Math Placement Exam score  
EST. time to complete:
3 to 9 Months
$301.00/Credit (No Fees)


This mathematics course will cover:

  • limits
  • continuity
  • differentiation
  • Mean Value Theorem
  • integration
  • Fundamental Theorem of Calculus


This math course covers topics typical for a Calculus I course. The main topics covered are limits, differentiation, using derivates to solve problems and an introduction to integration.

  1. Velocities and Tangent Lines
  2. Guessing Limits Numerically
  3. The Limit Laws
  4. Continuity
  5. Derivatives and Rates of Change
  6. The Derivative as a Function
  7. Differentiation Formulas and Derivatives of Trigonometric Functions
  8. The Chain Rule
  9. Exam I
  10. Implicit Differentiation
  11. Related Rates Problems
  12. Linear Approximation
  13. Maximum and Minimum Values
  14. The Mean Value Theorem and How Derivatives Affect the Shapes of Graphs
  15. Limits at Infinity and Horizontal Asymptotes
  16. Summary of Curve Sketching
  17. Optimization Problems
  18. Exam II
  19. Antiderivatives
  20. Areas and Distances
  21. The Definite Integral
  22. The Fundamental Theorem of Calculus
  23. The Substitution Rule
  24. Areas Between Curves
  25. Volumes
  26. Volumes by Cylindrical Shells
  27. Exam III


Mandatory Stewart, J. (2011). Single Variable Calculus (7th ed). ISBN 0538497831.  Be sure not to use a text with the subtitle “Early Transcendentals.” It will not work.

Recommended Stewart, J. (20011). Student Solutions Manual for Stewart's Single Variable Calculus. ISBN: 0840049498. This manual gives detailed solutions to the odd numbered problems in the text. It is optional, but it is a wise investment.

There is a longer version of the textbook containing the material for Calculus I, II and III.  If you plan on taking Calculus III, you may want to consider purchasing the text containing the chapters for all three courses.

You have 3 to 9 months from your enrollment date to complete:


For students living outside of the United States, exams conducted in other countries must be administered ONLY at an English-speaking testing center or learning center.

You may enroll at any time and have up to 9 months to complete your course, or you may be able to complete in as little as 3 months. The credits you earn will be recorded on your transcript in the semester you register. Keep in mind, UND can only verify your enrollment for the semester in which the course is registered and recorded on your transcript.