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Math 4C-Calculus-Spring 2008

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Class Calendar	Homework Sheet
PowerPoint and Maple Presentations, Partial Derivatives Websites	Exam Review Sheets
Exam Solutions: Ch12, Ch13, Ch14, Ch15	3-D Graphing Grids

Class Calendar

Homework Sheet

Exam Reviews

Section 1491

MWF 7:40-9am, Sci 205

Prerequisites: Math 02 or Math 25 and Math 26

Course Description:

This course covers vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals, and topics in vector calculus including Green’s and Stokes’ theorems.

Math Lab: The math lab is located in the newly remodeled science building on the 2^nd floor. See the Science, Math, Engineering website for hours.

Calculator:

You will need a graphing calculator for this course. A graphing calculator, such as a TI-86 or TI-85, is strongly recommended for this course.
(Note: Computer Algebra Systems such as Maple, TI 89, TI 92 are also helpful, but paper & pencil steps will be required to be shown when learning new techniques in this class.) Sharing calculators will not be allowed during exams or quizzes.

Expected Student Outcomes:

A. Perform vector math in two- and three-space, including norm, dot product, and cross product.

B. Apply vector techniques to analyze lines and planes in two- and three-space.

C. Identify and sketch cylinders and surfaces of revolution and quadratic surfaces.

D. Be able to work with cylindrical and spherical coordinate systems.

E. Define and graph vector valued functions: find limits, derivatives and integrals of vector valued functions.

F. Use the velocity, acceleration, tangent and normal vectors; Find tangential and normal components of acceleration.

G. Analyze the curvature of a curve in space.

H. Determine the arc length of a space curve.

I. Define functions of several variables; determine limits, continuity and partial derivatives involving them.

J. Calculate differentials, directional derivatives and gradients and be able to use them in applications.

K. Find tangent planes and normal lines to surfaces.

L. Analyze extrema by using the second partials test and by using Lagrange multipliers.

M. Define and evaluate double and triple integrals (in rectangular, polar, cylindrical, and spherical coordinates) and use them in finding areas, volumes, moments and center of mass and surface area.

N. Understand and work with vector fields, line integrals, independence of path of line integrals, Green's Theorem, the Divergence Theorem and Stokes' Theorem in applied problems

Tests:

Four one-hour chapter tests will be given during the semester.
Ch12: week 4, Ch13: week 8, Ch14: week 11, Ch15: week 14; exact dates will be announced in class and posted on my website on our course calendar.
I will provide the materials you will need to take the exams.
You may use one 3x5 card of notes for each exam and your calculator may be used to check your work but all steps must be shown for full credit. Points will be deducted for answers without work or method demonstrated.
You may use your late exam coupon to make-up one exam, you have one week from the day of the exam to do this.
If you know you will be absent you can make arrangements to take the exam early, this is not considered a make-up.
Each exam will be scaled to be out of 100 points.

Final Exam:

The Final Exam will be a comprehensive two-hour exam. (No blue book or scantron needed.)
The Final Exam may not be taken prior to Final Exam Week.
The final exam is scheduled for Monday, May 19^th, 8-10am.
The final exam is optional for those students with a 90% or higher class average prior to the final.
I will use your final exam percentage to replace your lowest exam score provided that exam score was not a zero (missed exam) and your final exam score is better.
You may use an 8x10 sheet of paper for final exam notes.

Quizzes:

We will have short quizzes on Mondays; exceptions will be announced in class and posted on my website.
Quizzes cannot be made up.
Each quiz is worth 10 points.
Quiz questions will come from your homework assignments .
One quiz score will be dropped.

Homework & Lab Assignments:

Homework will be allowed for use as notes on quizzes and will be due on quiz days (Mondays).
Each section of homework is worth 10 points.
Lab Assignments will utilize computer software like Maple.
Your homework will be graded by scoring the five boxed problems and the other five points will be given based on assignment completion.
Instructions for full credit on homework are described below:

$Text Box: Total is Your Grade$ $Text Box: *To compute your grade prior to the final, exclude the final exam portion and divide the total by 85.$

· The following is a list of what I consider to be cheating on a test or quiz in this course: By providing or receiving information by showing another student your paper, by giving another student information, or by bringing in or consulting notes when they are not allowed.

· There is also an outside of class form of cheating which is to ask other students what is on the exam before you take the exam. After you take the exam is the time to speak with others who have taken the exam.

1^st offense: If you are caught cheating you will receive a grade of zero on that test or assignment.

2^nd offense: If you are caught a second time I will drop you from the course. If it is too late to drop you from the course then you will be given a grade of “F” in the course.

*THIS SYLLABUS AND ALL DATES HEREIN ARE TENTATIVE AND SUBJECT TO CHANGE AT THE INSTRUCTOR’S DISCRETION!!!!!

“Perhaps I could best describe my experience of doing mathematics in terms of entering a dark mansion. You go into the first room and it’s dark, completely dark. You stumble around, bumping into furniture. Gradually, you learn where each piece of furniture is. And finally, after six months or so, you find the light switch and turn it on. Suddenly, it’s all illuminated and you can see exactly where you were. Then you enter the next dark room….”