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Math 181 SLO and CMO


  1. Students can integrate algebraic and transcendental function using a variety of techniques.
  2. Students can apply the definite integral to applications.
  3. Students can determine convergence of infinite series of various forms using various techniques.
  4. Students can describe objects algebraically and geometrically in various 2- or 3-dimensional coordinate systems.


  1. Use definite integrals to calculate areas between curves and volumes - including solids of revolution, work, the mean value of functions, arc lengths, areas of surfaces of revolution, moments, centers of mass, and other physics applications.
  2. Evaluate indefinite and definite integrals (proper and improper) using integration by parts, trigonometric identities and substitutions, partial fractions, tables, computer algebra systems, and numerical techniques.
  3. Solve separable differential equations with applications.
  4. Plot curves parametrically and in polar coordinates, using calculus to compute associated areas, arc-lengths, and slopes.
  5. Test for convergence for sequences and series using the integral, comparison, alternating series, ratio, and root tests.
  6. Determine representations of functions as power series including Taylor and Maclaurin series.
  7. Use power series in applications.