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MATH1B:  CALC/ANAL GEOM II


Course Description

This course is a standard second semester Calculus course covering methods of integration, applications of the integral, differential equations, parametric and polar equations, and sequences and series. (C-ID: MATH 220) (C-ID: MATH 900S: Math 1A + Math 1B) PREREQUISITE: Mathematics 1A with a grade of 'C' or better.


Learning Outcomes

  • Identify and use the techniques and applications of differentiation and integration learned in Math 1A.
  • Evaluate definite and indefinite integrals using the substitution method, integration by parts, trigonometric substitution, and partial fraction expansion.
  • Choose an appropriate strategy for integrating a function and perform the integration
  • Formulate and evaluate an integral to find area, volume, work, arc length, and surface area, and to solve problems found in business, economics, physics, science, statistics, and other disciplines
  • Use technology to approximate definite integrals of functions that cannot be integrated using the above mentioned techniques.
  • Evaluate improper integrals and use them to solve applied problems
  • Set up and solve differential equations to model applications in business, science, physics, engineering and other disciplines.
  • Set up, compute and analyze derivatives and integrals of parametric and polar equations to find local extrema, points of inflection, intervals of increasing/decreasing, concavity, equations of tangent lines, area and arc length, both with and without the use of technology.
  • Explain the concepts of convergence, absolute convergence, conditional convergence and divergence of a series and convergence and divergence of a sequence. Use the Integral Test, Comparison Test, Limit Comparison Test, Alternating Series Test, Ratio Test and Root Test to determine convergence or divergence of a series.
  • Find the Taylor and MacClauren Series expansion of a function centered about a give point.


Last modified: November 25, 2014
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