Course Summary
Credit Type:
ACE Course Number:
Organization Course Number:
14 weeks (75 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Lower-Division Baccalaureate 3 calculus I


The course objective is to acquaint students with calculus principles such as derivatives; integrals; limits; approximation; applications and modeling; and sequences and series. During this course, students gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.

Learning Outcomes:

  • demonstrate the continuity or discontinuity of a function
  • demonstrate various rules of derivatives
  • compute derivatives
  • demonstrate derivatives for trigonometric, exponential, and logarithmic functions
  • apply implicit differentiation
  • use tangent line approximation
  • use derivatives to solve optimization and related rates problems
  • sketch graphs using derivatives
  • solve integrations using the substitution method
  • illustrate the Fundamental Theorem Of Calculus
  • compute the area between curves using integration
  • apply L’Hôpital’s rule to find the limit of indeterminate forms
  • use logarithmic differentiation
  • apply various techniques to evaluate integration
  • demonstrate convergence and divergence of improper integrals
  • solve first order linear differential equations.
  • solve limit problems by using various limit laws

General Course Topics:

  • Special functions (trigonometric, exponential and logarithmic functions)
  • Limits
  • Derivatives
  • Computational techniques (the power, product and quotient, and chain rules)
  • Elementary functions and their inverses
  • Implicit differentiation
  • Applications of differentiations
  • Curve sketching
  • Integration
  • Infinite series
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training

Methods of Assessment:

  • Examinations
  • Quizzes

Minimum Passing Score:

Supplemental Materials

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