Students can integrate algebraic and transcendental function using a variety of techniques.
Students can apply the definite integral to applications.
Students can determine convergence of infinite series of various forms using various
Students can describe objects algebraically and geometrically in various 2- or 3-dimensional
MATH 181 CMO
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.
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.
Solve separable differential equations with applications.
Plot curves parametrically and in polar coordinates, using calculus to compute associated
areas, arc-lengths, and slopes.
Test for convergence for sequences and series using the integral, comparison, alternating
series, ratio, and root tests.
Determine representations of functions as power series including Taylor and Maclaurin