Course Description

A continuation of Math 111. Topics include inverse functions, techniques of integration, applications of the integral, and infinite sequences and series. Prerequisite: Math 111.

Textbook

Title: University Calculus Early Transcendentals, 3rd Edition
Authors: Hass, Weir, and Thomas
Publisher: Pearson
ISBN: 978-0321999580

Course Objectives

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.

Grading

Point Distribution	Grading Scale
Homework 10% Projects 10% Exam 1 13.25% Exam 2 13.25% Exam 3 13.25% Exam 4 13.25% Final Exam 27%	4.0 [90, ∞) 3.5 [85, 90) 3.0 [80, 85) 2.5 [75, 80) 2.0 [70, 75) 1.5 [65, 70) 1.0 [60, 65) 0.0 [0, 60) Averages are not rounded.

Homework

There will be homework assignments using Webwork.

Projects

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.

Exams

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

Attendance is required. More than four unexcused absences will result in a failing grade for the course, regardless of your average.