Calculus IV Syllabus Spring 2009

Professor: Dr. Ron Smith
Office: 321 Zimmermann
Phone (Office):784-5283
Phone (Home):784-6473

Office hours: Daily 10-12.

You are the reason I am here. Please come see me anytime. For a 20-minute appointment, just sign up on the sheet outside my office door or call me. You do not need to sign up in advance, but if you will please sign when you come, the time will be reserved for you. Also, if someone is in the office and you are signed up, please make your presence known!

Materials:

The required text is Essential Calculus, Early Transcendentals, by James Stewart. Each student is required to have a programmable calculator. I will be using a TI 83 in class, although the 90+ series has 3D capabilities that are very nice. Mathematica is a very powerful symbolic algebra system which we have a campus license. For just graphing, it is hard to beat Graphing Calculator Geogebra is a free, web-based, open source, amazing package that allows all kinds of algebraic and geometric manipulations of mathematical objects. Graphing is nice. There are lots of examples available on the web as well.

Scope:

We will cover coordinate systems, vectors, and multivariate calculus. This material is found in chapters 9-12 in the text.

Expecations for the student:

A calculus student will ...
  1. Schedule at least 1 to 2 hours outside of class each day for studying calculus.
  2. Read each section and work each example with paper and pencil.
  3. Look at problems besides those assigned to discover why the author asked the question.
  4. Prepare homework to hand in before class starts, including putting the name, class, homework number, and date on the outside.
  5. Come to class on time every day and stay the entire period,
  6. Have paper and pencil out on the desk at the beginning of class ready to work.
  7. Sit beside a partner with whom you will discuss calculus during class.
  8. Check all homework answers with the book and others, but write them up without copying.

Expectations of the Instructor:

I will ...
  1. Start and end class on time, or within 3 minutes of the scheduled time.
  2. Be prepared for class every day.
  3. Grade and return homework and exams within 2 class days.
  4. Treat every student with respect.
  5. Learn each student's name.
  6. Answer every question in a respectful, truthful manner.
  7. Post homework assignments with clear due dates.
  8. Be available in my office during office hours, and give priority to anyone signed up.
  9. Grade all exams myself, completely, equitably, and clearly. Daily homework will be graded by an assistant. Not every homework problem turned in will be graded.
  10. Do my best to make every minute of every class a learning experience.


Grades:

You will need 87.5% for an A, 75% for a B, 62.5% for a C, and 50% for a D. Grades will be based on homework and exams. Your final grade is the percentage of the total possible.

Food

If I bring food to the classroom, I will bring enough for everyone. I expect the same courtesy from students. Please do not eat personal snacks/meals in the classroom unless required by a medical condition.

Electronics

Cell phones, pagers, or other electronic devices intended to facilitate communication between students must not be used during lectures or exams.

Incompletes

Incompletes for the course require signing a contract for making up work, and must be initiated by the student.

Academic Integrity:

Honesty is a prerequisite for being a competent person. If you copy solutions to problems from any source, you are required to acknowledge the source. This includes copying from friends or old homework/test files. Working together for inspiration and asking for hints is allowed on everything but exams. However, writeups must be your own. For more on this subject, see the college policy printed in the handbook.

Disabilities:

Any student who, because of a disabling condition, may require special arrangements in order to meet course requirements should contact the instructor as soon as possible to make necessary accommodations.

Tentative Course Outline
DayDateTopic
11/26/0910.1 Three Dimensional Coordinate Systems
21/28/0910.2 Vectors
31/30/0910.3 Dot Product
42/2/0910.4 Cross Product
52/4/09Con't
62/6/0910.5 Equations of Lines and Planes
72/9/09Con't
82/11/0910.6 Cylinders and Quadric Surfaces
92/13/0910.7 Vector Functions and Space Curves
102/16/0910.9 Motion in space: Velocity and Acceleration
112/18/09Review
122/20/09Exam 1
132/23/09Return
142/25/0911.1 Functions of Several Variables
152/27/0911.2 Limits and Continuity
163/2/0911.3 Partial Derivatives
173/4/09Con't
183/6/0911.3 Higher order Partial Derivatives
193/9/0911.4 Tangent Planes and Linear Approximations
203/11/09Con't
213/13/0911.5 The Chain Rule
223/23/0911.6 Directional Derivatives and the Gradient Vector
233/25/09Con't
243/27/0911.7 Maximum and Minimum Values
253/30/0911.8 Lagrange Multipliers
264/1/09Con't
274/3/09Review
284/6/09Exam 2
294/8/09Return
304/10/0912.1 Double Integrals over Rectangles
314/15/0912.2 Double integrals over General Regions
324/17/09Con't
334/20/0912.3 Double Integrals in Polar Coordinates
344/22/0912.4 Applications of Double Integrals
354/24/0912.5 Triple Integrals
364/27/0912.6 Triple Integrals in Cylindrical and Spherical Coordinates
374/29/0912.7 Triple Integrals in Spherical Coordinates
385/1/09Con't
395/4/0912.8 Change of Variables in Multiple Integrals
405/6/09Con't
415/8/09Review
425/11/09Final Exam

Guidelines for Written Papers.

  1. Be neat! Working problems on scratch paper first and recopying is a good strategy for catching mistakes as well as for being neat.
  2. Use pencil or a computer.
  3. Use 8.5 x 11 loose leaf paper, one side only.
  4. Fold papers together lengthwise to hand them in. Do not staple or tear, etc. The blank side of the paper is to be out. (See illustration below.)
  5. On the outside at the top, provide the following information.
    i. Names
    ii. Class and Section (Calc IV)
    iii. Assignment Number or Description
    iv. Date that you turn it in
  6. Clearly mark the section and number of each problem whenever that is appropriate.
  7. Organize your information so the grader will know, (a) what the book asked for, and (b) your response.
  8. Respect the equal sign "=". Use this sign only when you mean that the expression on one side can be substituted into any statement containing the expression on the other side without changing the truth value of the statement.
  9. Avoid "Type" errors. Use the equal sign "=" to connect two expressions only when they stand for the same type of expression, e.g. two numbers, two functions, or two sets. Use implies "=>" to connect two statements when the truth of the first guarantees the truth of the second. Sometimes, you will need to use an explanatory phrase such as "Therefore", "Now we can see", or "From equations (1) and (2)... in order to express the relationship between two statements.
  10. Write using complete sentences whenever possible.

Last Update: January 26, 2009
Ronald K. Smith
Graceland College
Lamoni, IA 50140
rsmith@graceland.edu