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MATH& 152 Calculus II • 5 Cr.

Department

Division

Description:

Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 151.

Outcomes:

After completing this class, students should be able to:

  • to calculate the Riemann sum for a given function, partition and collection of evaluation points
  • to describe a definite integral as
    • the limit of a Riemann sum
    • the area under a curve
    • the distance traveled by a moving object
    • a total accumulation
  • to determine the appropriate units for a definite integral
  • to describe the meaning of the antiderivative of a function
  • to determine the antiderivatives of
    • polynomials
    • the trigonometric functions
    • the exponential and logarithmic functions
  • to determine the values of definite integrals using antiderivatives and areas
  • to approximate the numerical values of definite integrals
  • to state the Fundamental Theorem of Calculus
  • to apply the ideas of definite integrals to solve problems of
    • areas
    • volumes
    • work
    • centers of mass
    • other assorted applications
  • to recognize separable differential equations and to use integration to solve separable initial value problems
  • to solve problems of exponential growth and decay and to understand the meanings and limitations of those solutions
  • to differentiate the inverse trigonometric functions and to use them with integrals
  • to describe the meaning of an improper integral and to evaluate some classes of improper integrals
  • to apply the techniques of integration by parts, substitution methods, and tables of antiderivatives to evaluate some classes of integrals

Offered:

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Contact info

Bellevue College
3000 Landerholm Circle SE Bellevue, WA 98007-6484 U.S.A.
Work: (425) 564-1000