OAKLAND UNIVERSITY
DEPARTMENT OF MATHEMATICS AND STATISTICS
STUDENT INFORMATION SHEET AND SYLLABUS



COURSE: MTH 254, Calculus III, 4 Credits
SEMESTER:Winter 2007

Faculty Office Phone Section Class Time Room email
Louis J. Nachman 368 SEB 370-4030 11075 MWF 8:00 - 9:07 164 SEB nachman@oakland.edu

Attendance at every class is expected.

OFFICE HOURS: By Appointment.

PREREQUISITES: A 2.0 or better in MTH 155 or an equivalent course at another school. Prerequisites are strictly enforced: if you do not meet the prerequisite, you will not be permitted to remain in the course. In order to do well in this course, you need to have skills in single variable calculus.

TEXT: Calculus Early Transcendentals, 5th Ed. (or Multivariable Calculus , 5th Ed. ) by Stewart, published by ITP. The material to be covered is contained in chapters 12 - 16 (see detailed syllabus below). You are expected to purchase a copy of this textbook. A student solutions manual, containing worked-out solutions to many of the exercises, is available at the bookcenter, but its purchase is totally optional (homework will be assigned from both those exercises that have answers in the back of the text and/or solutions in the manual and those that do not). In addition, a copy of the textbook, student solutions manual, alternative textbooks, and other material will be available on 2-hour reserve at Kresge Library.
.

CALCULATOR POLICY: For this course, a graphing calculator is strongly recommended. You may use a calculator on all tests, quizzes, and homework assignments. Tests and quizzes will be constructed assuming only that you have a calculator with logarithmic, exponential, and trigonometric functions as well as memory storage. No matter what kind of calculator you have, it is important to learn to use it effectively. In particular, know how to do long calculations without writing down intermediate answers, and be aware of how many digits of accuracy you can expect an answer to have. To receive full credit on tests, be sure to show all the mathematical work necessary for setting up a calculation before using the calculator. Try to use your calculator imaginatively, too; for example, calculators often provide you with ways to verify an answer (e.g. by graphing with a graphing calculator, or plugging in particular values of variables). Using a calculator to store formulas you need for a test is not permitted.

COMPUTER USAGE:
Computer laboratories are not a formal part of this course. However, there are some excellent "computer algebra" packages such as Maple and Mathematica available on main-frame and micro-computers; this software is capable of performing many of the calculations that one does in a course such as this (e.g., solving algebraic equations, simplifying complicated algebraic expressions, differentiating, integrating, working with series, and drawing graphs). Interested students should talk to me about getting access to such systems and experiment with them. There are also some excellent interactive tools available. We will discuss some of these in class.

TESTS: There will be 3 class tests scheduled for the February 2, March 9, and April 6. These tests, as well as any quizzes and the final examination (see below) are closed book tests. Each of these tests is worth 100 points

TERM PROJECTS: There will be one term paper or term project. This paper reflects the dual nature of this course, applied and theoretical.  It will involve a practical application of the material covered in the class and a slightly more theoretical problem. The solution of the problems will be contained in a document which will be graded on grammar and style as well as on correct mathematical content. Computer resources for the completion of these projects are available on campus. More on this requirement later. The term paper will be worth 50 points and will be part of the computation of your course grade. See below..

QUIZZES AND HOMEWORK: Homework will be assigned but not collected or graded. Technology permitting, some homework may be done using the internet. There will be weekly quizzes, each worth 10 points. The raw points will be converted to percents and then multiplied by 50 to constitute 50 points of your final grade.

FINAL EXAM: The final examination is comprehensive. It will be given on April 20 at 8:00 am in the course classroom. The final examination will be worth 200 points.

EMERGENCY CLOSING: If the University is closed at the time of a scheduled test, quiz, or examination (for example, because of snow), the exam, test, or quiz will be given during the next class period when the University reopens. The Oakland University emergency closing number is 370-2000.

GRADING POLICY: Your course grade will be based upon the percentage of total points you have earned out of all the points available to you (600 points). There is no fixed grading scale for this course; a conversion formula from your percentage score to Oakland University grades will be determined at the end of the course. However, the following list shows the lowest possible grade that a given percentage score will earn (the grade may be higher than this):

95%
=>
4.0
80%
=>
3.0
65%
=>
2.0
50%
=>
1.0

After each test, an indication of class performance on that test will be announced.

MAKE-UP POLICY: No make-up tests or make-up quizzes will be given. If you miss a test and have a valid excuse, your grade for the missed test will be determined from the portion of the final exam corresponding to the missed material; otherwise the missed test will be counted as a 0.

ACADEMIC HONESTY:
Cheating is a serious academic crime. Oakland University policy requires that all suspected instances of cheating be reported to the Academic Conduct Committee for adjudication. Anyone found guilty of cheating in this course will receive a course grade of 0.0, in addition to any penalty assigned by the Academic Conduct Committee. Working with others on a homework assignment does not constitute cheating; handing in an assignment that has essentially been copied from someone else does. Receiving help from someone else or from unauthorized written material on a take-home assignment or during a quiz, test, or final exam is cheating, as is using a calculator as an electronic "crib sheet."

STUDY HABITS: Cultivating good work and study habits is necessary for doing well in mathematical sciences courses. You should keep on top of the subject by doing large amounts of homework (frequently working on problems not assigned), regularly reviewing earlier material, asking questions in class, and making good use of your instructor's office hours and the Academic Skills Center. If you are having difficulty with some concept or mathematical procedure, you should get it clarified as soon as possible. If you make mistakes on tests or quizzes, rework these problems with the idea that you will not make similar mistakes later. Regular reviewing of older material in the course will put you in good stead when it comes to final exam time. This will help you to avoid the usual non-retention problems students encounter at the end of the course. You should expect that doing all of these things will take at least two hours outside of class for each hour in class. Many students find it helpful to spend some of this time working with others, in study groups.


DROPPING THE COURSE: The Department of Mathematics and Statistics is committed to achieving the goal of an academically sound freshman and sophomore mathematical sciences curriculum in which most conscientious Oakland University students can expect to be successful. If you are considering dropping the course and wish to discuss the matter further, you are encouraged to contact your instructor.

INTENDED SYLLABUS :

Monday

Tuesday

Wednesday

Thursday

Friday

Jan. 1

Jan. 2

Jan. 3

Jan. 4 First Day of Classes

Jan. 5
12.1 ThreeD Coordinate Systems, 12.2 Vectors

Jan. 8
12.3 Dot Product

Jan. 8

Jan.10
12.4 The Cross Product

Jan. 11

Jan. 12
12.5 Equations of Lines and Planes

Jan. 15
Martin Luther King Day
Classes Suspended

Jan. 16

Jan. 17
12.6 Cylinders and Quadratic Surfaces

Jan. 18

Jan. 19
12.7 Cylindrical and Spherical Coordinates

Jan. 22
13.1 Vector Functions and Space Curves, 13.2 Derivatives and Integrals of Vector Functions

Jan. 23

Jan. 24
13.2 Derivatives and Integrals of Vector Functions, 13.3 Arc Length and Curvature

Jan. 25

Jan. 26
13.3 Arc Length and Curvature, 13.4 Motion in Space: Velocity and Acceleration

Jan. 29
14.1 Functions of Several Variables

Jan. 30

Jan. 31
Review

Feb 1

Feb 2
Exam 1

Feb. 5
14.2 Limits and Conitnuity

Feb. 6

Feb. 7
14.3 Partial Derivatives

Feb. 8

Feb. 9
14.4 Tangent Planes and Linear Approximations

Feb. 12
14.5 The Chair Rule

Feb. 13

Feb. 14
14.6 Directional Derivatives and the Gradient

Feb. 15

Feb. 16
14.7 Max Min Problems

Feb. 19
14.8 Lagrange Multipliers

Feb. 20

Feb. 21
15.1 Double Integrals Over Rectangles

Feb. 22

Feb. 23
15.2 Iterated Integrals

Feb. 26
Spring Break

Feb. 27

Feb. 28

Mar. 1

Mar. 2

Mar. 5
15.3 Double Integrals over General Regions

Mar. 6

Mar. 7
Review

Mar.8

Mar. 9
Exam 2

Mar. 12
15.4 Double Integrals in Polar Coordinates

Mar. 13

Mar. 14
15.5 Applications of Double Integrals, 15.6 Surface Area

Mar. 15

Mar. 16
15.7 Triple Integrals

Mar. 19
15.8 Triple Integrals in Spherical and Cylindrical Coordinates

Mar. 20

Mar. 21
15.9 Change of Variables in Multiple Integrals

Mar. 22

Mar. 23
16.1 Vector Fields

Mar. 26
16.2 Line Integrals

Mar. 27

Mar. 28
16.3 Fundamental Theorem for Line Integrals

Mar. 29

Mar. 30
16.4 Greens Theorem

Apr. 2
16.5 Curl and Divergence

Apr. 3

Apr. 4
Review

Apr.5

Apr. 6
Exam 3

Apr. 9
16.6 Parametric Surfaces and Their Area

Apr. 10

Apr.11
16.7 Surface Integrals

Apr. 12

Apr. 13
16.8 Stoke's Theorem

Apr. 16
16.9 The Divergence Theorem

Apr. 17

Apr. 18
Last day of classes

Review and Catch Up

Apr. 19

Apr.20
Final Exam 8:00 - 11:00

IMPORTANT
DATES:
January 15 Martin Luther King ,Jr Day - Classes not in session
January 18 Last day for 100% refund
January 18 Last Day for "No-Grade" Drop
February 24 - March 4 No Class, Winter Break
March 15 Last day for official withdrawal (w grade)
April 18 Last day of classes (@ 10:00 pm)
April 20 Final Exam, 8:00 am - 11:00 am

Last Update 12/29/06