Student Learning Outcomes

• Use power series in applications.
• Determine representations of functions as power series including Taylor and Maclaurin series.
• Test for convergence for sequences and series using the integral, comparison, alternating series, ratio, and root tests.
• Plot curves parametrically and in polar coordinates, using calculus to compute associated areas, arc-lengths, and slopes.
• Solve separable differential equations with 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.
• Differentiate hyperbolic functions and integrate functions that result in hyperbolic forms.
• Use definite integrals to calculate areas between curves, 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.
• Students will feel that mathematics is a beneficial part of their education
• Math students feel they have the resources necessary for their success.
• Students can apply the definite integral to applications.
• Students can integrate algebraic and transcendental function using a variety of techniques