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CALCULUS LABORATORY II

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Learning Outcomes

  • explain some concepts about mathematics.
  • Analyse and interpret extreme-value problems.
  • Define and illustrate linear approximations, Taylor polynomials and indeterminate forms.
  • Explain concepts of sums and sigma notation, areas as limits of sums.
  • Determines the domain and range of a function.
  • define various integrals.
  • Express definite and indefinite integrals and their properties.
  • Explain and use integrals of trigonometric, rational and algebric functions.
  • Recognize and illustrate improper integrals.
  • Calculate integrals of rational functions.
  • Explains approximation to a point.
  • Expresses features of limits of functions.
  • Expresses the definition of a function at a point.
  • express sequences and series.
  • Define sequences and series.
  • Explain and illustrate concepts as convergence, infinite series and power series.
  • Express and use binomial series, Taylor and Maclaurin series.
  • Uses the bisection method to find the roots of equations.
  • determine whether a sequence (series) is convergent or not.
  • Expresses concepts of sequence, series and convergence.
  • Explains the convergence of a series.
  • Uses convergence tests for positive series.
  • Expresses definition os a power series.
  • Find Taylor and Maclaurin series of a function.
  • Expresses Binomial series and Binomial theorem by using Taylor and Maclaurin series.
  • applies the concept of derivative to related rates and extreme value problems and sketch the graph of a function.
  • Solves the related-rates problems.
  • Finds extreme values of a function.
  • Finds the linear approximation of a function at a given point.
  • Finds the Taylor polynomial of a function at a point.
  • Description
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