Spring 2013 MAT232.01 TTR 10:00

## MAT232 Intermediate Calculus II

 Kevin J. CarlinOffice Hours: M-F 2:30-4:30 Office: Fo 113  Telephone: 7563E-mail: kcarlin@assumption.edu

### 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

Parametric graphs and polar coordinates: parametric curves, arc length, polar graphs, areas in polar coordinates.

Vector functions: coordinate systems, vectors, dot and cross product, equations of lines and planes, space curves, tangent functions.

Partial derivatives: level curves, tangent planes, the chain rule, the gradient vector, critical points, Lagrange multipliers.

Multiple Integrals: double integrals over rectangles and regions, triple integrals.

There will be four quizzes, two exams (February 28 and April 23), and a cumulative final exam. The homework journal will be collected for grading 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 missed work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my sole discretion.

### Learning Objectives

• Students should understand the calculus of parametric curves and polar coordinate graphs. They should understand the calculus of vector-valued functions. Students should be able to use these techniques to solve a variety of problems.

• Students should be able to find partial derivatives of multivariable functions. They should know the definition of a differentiable function and understand its meaning in terms of the tangent plane. They should be able to use partial derivatives to solve a variety of problems.

• Students should be able to evaluate double and triple integrals.

### 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.