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Calculus II

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 University Calculus II

Taught By: Dr. Marlies Bearden and Mrs. Claudia Carter
Class Length: One Semester
Topics Covered:  Topics will include integrals related to polynomial, rational, trigonometric, logarithmic, and exponential functions.  Applications will include computation of areas, volumes, work, moments and center of mass.
Prerequisites: University Calculus I

The word Calculus comes from Latin meaning “small stone," because it is like understanding something by looking at small pieces.

Differential Calculus (University Calculus I) cuts something into small pieces to find how it changes.

Integral Calculus  (University Calculus II) joins (integrates) the small pieces together to find how much there is.                                                           

GENERAL COURSE OBJECTIVE: This course provides an introduction to the theory, techniques, and applications of integral calculus.  Topics will include integrals related to polynomial, rational, trigonometric, logarithmic, and exponential functions.  Applications will include computation of areas, volumes, work, moments and center of mass.

  • Antiderivatives, indefinite and definite integration, Riemann sums,
  • Area under a curve, Simpson's Rule, Trapezoidal Rule
  • Inverse functions, exponential, logarithmic, and other transcendental functions
  • Applications of integration: area between two curves,volume--disc, washer, shell methods, arc length and surface area, work, centers of mass,  fluid pressure and force.
  • Integration techniques: by parts, partial fractions, trig integrals
  • Trig substitution, tables of integration
  • L’Hopital’s Rule, Improper Integrals