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 II


The course objective is to acquaint students with the principles of calculus such as techniques of integration; application of integration; exponential and logistic models; parametric equations and polar coordinates; sequence and series; and vector and geometry.

Learning Outcomes:

  • apply L’Hôpital’s rule to find the limits of different indeterminate forms
  • compute hyperbolic functions at a given point
  • use hyperbolic identities
  • compute the derivatives of hyperbolic functions
  • solve integration problems using different techniques of integration (integration tables, u-substitutions, trigonometric functions, partial fraction, trigonometric substitutions, and trapezoidal rule)
  • apply integral calculus to compute the average value of function, volumes, arcs and lengths
  • use various tests to determine the convergence and divergence of sequences and series
  • apply Taylor and McLaurin series for polynomial approximations
  • demonstrate convergence and divergence of power series
  • solve homogeneous differential equations
  • use differential equations to solve growth and decay problems
  • solve problems based on eliminating parameters, conversion between polar and Cartesian forms, spirals and circles, polar coordinate systems, and rose curves
  • sketch parametric and polar curves
  • apply differentiation and integration to parametric equations and polar functions
  • apply dot product and cross product to vectors in r2 and r3
  • apply differentiation to vector functions.

General Course Topics:

  • Indeterminate forms
  • Hyperbolic functions and graphs
  • Techniques of integration
  • Applications of integral calculus
  • Sequences and series
  • Differential equations
  • Parametric equations and polar coordinates
  • Vector calculus
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Computer Based Training

Methods of Assessment:

  • Examinations
  • Quizzes

Minimum Passing Score:

Supplemental Materials

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