Fall 2012 MAT231.01 TTR 10:00

## MAT231 Intermediate Calculus I

 Kevin J. CarlinOffice:  Fo 113 MWF 1:30-4:00 Telephone: 7563E-mail: kcarlin@assumption.edu

### Required Text

James Stewart, Essential Calculus, first edition, Brooks/Cole, 2007.

### Homework Journal

For your homework journal, you will need a ring binder and a supply of loose-leaf paper. The homework journal is intended to be a complete record of your work arranged by topic. Class notes must be kept separately. Homework revisions, practice problems, quiz and exam corrections, and any tutorial work with me or the mathematics tutors should all be included. None of your work should be erased, obliterated, or destroyed so that you will have a true record of your learning experience.

### Electronic Devices

Calculators may not be used in this course. An electronic communication device, such as a cell phone or lap-top computer, may not be used as a watch, as a calculator, or for any other purpose. They must be put away and completely deactivated during class.

### Topics

Integration techniques: review of trigonometric identities and integrals, integration by parts, trigonometric substitutions, partial fractions.

Limits: infinite limits, limits at infinity, l’Hôpital’s rule, improper integrals.

Sequences and series: sequences, monotone convergence, geometric series and p-series, convergence tests, absolute convergence, power series, Taylor series, Taylor polynomials.

There will be four quizzes, two exams (October 4 and November 29), and a cumulative final exam. The homework journal will be collected near the end of the semester. Your final grade will be based on 400 points:

 4 Quizzesand Homework Journal Best 4 @ 20 points 80 Exams 2 @ 100 points 200 Final Exam 1 @ 120 points 120 400

Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.

Make-up of any graded work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion. Unexcused absence from any exam will result in a failing grade for the course.

### Learning Objectives

• Students should be able to use a variety of advanced techniques of integration.

• Students should know the definitions of various types of infinite limits and should be able to find these limits using rules. They should be able to use limits to determine the convergence or divergence of improper integrals.

• Students should know the definitions of convergence for sequences and series. They should be able to apply a variety of tests to determine the convergence behaviour of series and power series. They should be able to approximate functions with Taylor polynomials.

### Course Description

MAT 231-232 Intermediate Calculus
A second-year course in calculus, designed to follow either MAT 118 or MAT 132. Topics to be covered include methods of integration, parametric curves, polar coordinates, sequences and series, power series, Taylor polynomials, vector geometry, vector functions, multivariable functions and partial differentiation.