MTH 142  Calculus II  Spring 2003
Intermediate Calculus with Analytic Geometry

Introduction
This second course in calculus assumes that you know and can use the basic ideas covered in MTH 141.  As in MTH 141, we will approach new ideas and problems from algebraic, graphical, and numerical points of view.

How to succeed in MTH142

• Spend about 8 hours per week, outside of class, working problems, reading the text, and working on Projects. Sometime during the first week of class, set up your weekly schedule so that specific days and times are reserved for working out math problems.
• Buy a notebook where you will write solutions to all the recommended problems.
• Save all quizzes, handouts, and any other work. Use them to prepare yourself for tests.
• Establish a group of fellow students to work with.
• Come to class every time!  Skipping class, even only a couple of times, will translate into a lower course grade.
• If you come to office hours, make sure you bring your work.
  

Goals and Objectives.

The goals are to have you develop symbol manipulation skills, mathematical modelling skills, skills in the use of technology to treat mathematical problems, an understanding of the language of calculus, and an appreciation for the uses of calculus in the sciences.

At the conclusion of this semester you should be able to:

1. Calculate integrals using a variety of algebraic and numerical techniques.

2. Solve problems in geometry, physics and probability using integrals.

3. Solve first order ordinary differential equations by graphical, numerical and algebraic techniques, and to set up mathematical models for problems in the sciences.

4. Calculate approximations to functions using the concepts of Taylor and Fourier expansions.

5. Determine properties of convergence of numerical and power series.

6. Treat problems involving modeling, algebraic calculations and numerical calculations by using technology (Maple, graphing calculators).

Evaluation
There will be several (as determined by your instructor) Modeling Projects that involve the use of Maple or Maple worksheets assigned. The course grade will be computed as follows:

Key: E1 = Exam 1, E2 = Exam 2, E3 = Exam 3, FE = Final Exam, MP = Maple/Modeling Projects, CW = Class Work. 
Class Work may include collected homework, quizzes, or other. Exams will be given outside normal class time. Dates and location will be announced later.

Maple Information
We will continue the use Maple in this course. The Maple software is available in most computer labs at both URI Kingston and Providence sites.