Calculus IV Syllabus

Professor: Dr. Ron Smith
Office: 116 Resch
Phone (Office):784-5283
Phone (Home):784-6473

Office hours: MWF 1:30-3:00 & TTh 9:30-11:30.

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. For just graphing, it is hard to beat Graphing Calculator , available from pacifict.com. 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 successful calculus student will be...

Respectful.
Studious.
- Schedule at least 1 to 2 hours outside of class each day for studying calculus.
- Read each section and work each example with paper and pencil.
- Check all homework answers with the book and others, but write them up without copying.
Prepared.
- Prepare homework to hand in before class starts, including putting the name, class, homework number, and date on the outside.
- Come to class on time every day and stay the entire period,
- Have paper and pencil out on the desk at the beginning of class ready to work.
- Sit beside a partner with whom you will discuss calculus during class.
- Rest and eat before or after, but not during, class.

Expectations of the Instructor:

I promise to do my best to make every minute of every class a quality learning experience. I will be...

Respectful to students
Available in my office during office hours, and give priority to anyone signed up.
Prompt: Start and end class on time, or within 3 minutes of the scheduled time.
Prepared for class every day.

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.

Homework:
(~360) Approximately 20 homework assignments will be given at 20 points each.
- The lowest 2 homework scores will be discarded.
- Homework assignments will typically be due at the beginning of the second class day after they are assigned. Late homework will result in 10% reduction of the score, and will be accepted up to one week after it is due, or on the last day of class, whichever comes first.
- Papers will be returned in the labeled rack beside my office door. After one week, unclaimed papers may be discarded.
- Two points (10%) of the homework grade is reserved for "style points". These are awarded for following the guidelines, including folding, labeling, neatness, etc.
Exams:
(300)Two midterm exams and a final (@100)
- You must take the final exam in 201 Resch at 10:00 am on Wednesday, May 12.
- The final exam is comprehensive, and contains both a written and oral component.
- Exams may be taken late provided arrangements are made prior to the exam. If, in the opinion of the instructor, missing an exam would not be unavoidable, 90% of the exam score will be recorded.

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

Day	Date	Topic
1	1/25/10	10.1 Three Dimensional Coordinate Systems
2	1/27/10	10.2 Vectors
3	1/29/10	10.3 Dot Product
4	2/1/10	10.4 Cross Product
5	2/3/10	Con't
6	2/5/10	10.5 Equations of Lines and Planes
7	2/8/10	Con't
8	2/10/10	10.6 Cylinders and Quadric Surfaces
9	2/12/10	10.7 Vector Functions and Space Curves
10	2/15/10	10.9 Motion in space: Velocity and Acceleration
11	2/17/10	Review
12	2/19/10	Exam 1
13	2/22/10	Return
14	2/24/10	11.1 Functions of Several Variables
15	2/26/10	11.2 Limits and Continuity
16	3/1/10	11.3 Partial Derivatives
17	3/3/10	Con't
18	3/5/10	11.3 Higher order Partial Derivatives
19	3/8/10	11.4 Tangent Planes and Linear Approximations
20	3/10/10	Con't
21	3/12/10	11.5 The Chain Rule
22	3/22/10	11.6 Directional Derivatives and the Gradient Vector
23	3/24/10	Con't
24	3/26/10	11.7 Maximum and Minimum Values
25	3/29/10	11.8 Lagrange Multipliers
26	3/31/10	Con't
27	4/2/10	Review
28	4/7/10	Exam 2
29	4/9/10	Return
30	4/12/10	12.1 Double Integrals over Rectangles
31	4/14/10	12.2 Double integrals over General Regions
32	4/16/10	Con't
33	4/19/10	12.3 Double Integrals in Polar Coordinates
34	4/21/10	12.4 Applications of Double Integrals
35	4/23/10	12.5 Triple Integrals
36	4/26/10	12.6 Triple Integrals in Cylindrical and Spherical Coordinates
37	4/28/10	12.7 Triple Integrals in Spherical Coordinates
38	4/30/10	Con't
39	5/3/10	12.8 Change of Variables in Multiple Integrals
40	5/5/10	Con't
41	5/7/10	Review
42	5/12/10	Final Exam

Guidelines for Written Papers.

Be neat! Working problems on scratch paper first and recopying is a good strategy for catching mistakes as well as for being neat.
Use pencil or a computer.
Use 8.5 x 11 loose leaf paper, one side only.
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.)
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
Clearly mark the section and number of each problem whenever that is appropriate.
Organize your information so the grader will know, (a) what the book asked for, and (b) your response.
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.
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.
Write using complete sentences whenever possible.

Last Update: January 25, 2010
Ronald K. Smith
Graceland College
Lamoni, IA 50140
rsmith@graceland.edu