A continuation of Math 111. Topics include inverse functions, techniques of integration, applications of the integral, and infinite sequences and series. Prerequisite: Math 111.
Title: University Calculus Early Transcendentals, 3rd Edition
Authors: Hass, Weir, and Thomas
Students successfully completing this course should be able to:
- Differentiate and integrate hyperbolic, logarithmic, exponential and inverse trigonometric functions.
- Evaluate integrals using techniques including integration by parts, partial fractions, trigonometric integrals, and trigonometric and other substitutions.
- Solve integral application problems including area, volume, surface area, work, curve length, and center of mass.
Determine convergence of and compute improper integrals.
- Determine whether an infinite sequence converges or diverges and compute the limit.
- Determine whether an infinite series converges absolutely, converges conditionally or diverges using techniques including the direct comparison, limit comparison, root, ratio, integral, p-series, nth-term and alternating series tests.
- Compute the radius and interval of convergence of a power series.
- Compute the sum of a convergent geometric series and a convergent telescoping series.
- Compute Taylor series and binomial series.
|Point Distribution||Grading Scale|
There will be homework assignments using Webwork.
There will be special projects that are in addition to the work that students in Section C are required to do. Some of these will use Mathematica.
There will be no makeups for exams for any reason. Your low exam grade will be replaced by your final exam grade if your final exam grade is higher.
Attendance is required. More than four unexcused absences will result in a failing grade for the course, regardless of your average.