Math 233 Calculus III
Spring 2018     Monday, Tuesday, Wednesday, Friday 08:00AM - 08:50AM, Old Main, Room ADV LAB
INSTRUCTOR: Dr. Platte Calculus Early Transcendentals Combined 10th Edition by Howard Anton, Irl Bivens, Stephen Davis (Hard Cover:ISBN 978-0-470-64769-1 or Binder: ISBN 978-1-118-12927-2) publisher Wiley or from Amazon   1312 pages version! 307 Old Main, also check the Old Main computer labs MWF 9:00-10:50, Tues. Thurs 9:30-10:00. Also by appointment. dplatte@mercyhurst.edu http://math.mercyhurst.edu/~platte/calcIII

### COURSE DESCRIPTION:

This is an introduction to the calculus of several variables. Topics selected from polar coordinates, functions of several variables, partial derivatives, multiple integrals, line integrals, surface integrals, Green’s theorem and Stokes’ theorem.

### OBJECTIVES:

At the conclusion of this course, the student should be able to:
1. Graph polar equations and find area using polar coordinates.
2. Identify and graph quadric surfaces.
3. Convert equations between rectangular, spherical and cylindrical coordinates.
4. Compute and apply: limits, partial derivatives.
5. Apply the chain rule to functions of n-variables.
6. Set up and evaluate double, triple integrals.
7. Compute dot products and cross products in 3-space and interpret the results.
8. Compute and apply: directional derivatives, the gradient and equation of tangent planes for functions of two variables.
9. Find maxima and minima of functions of two variables.
10.  Set up and evaluate suface and line intergrals.
11. Apply Green's and Stokes theorem.

### CONTENT:

We will cover material from chapters 10, 11, 13,14 and 15, but not in order. Tentative order 10.2, 10.4, 11.1, 11.7, 11.8, 13.1-13.5, 14.1-14.5, 11.2-11.7, 13.6-13.9, 15.1-15.4, 15.8, 10.12, 10.3

### COURSE FORMAT:

The main technique used will be lectures. At the beginning of each class I will ask if there are questions from the previous lecture. I encourage you to ask questions as they arise during the class. If you are unable to have your questions answered in class, then see me outside of class. You are welcome to drop in anytime I am in the office or Old Main computer labs.

### COURSE EVALUATION:

Although I will not formally check attendance, I do expect you to attend class.

#### Homework:

Homework will be assigned often. The homework will be scaled at the end of the term so that perfect homework total is worth 100 points. All homework is due at the beginning of the next class after it was assigned. No homework will be accepted at times other than the due time except with a prior valid excuse or under extremely extenuating circumstances. All homework must be done on 8.5 by 11 inches paper only with no ragged edges. Do not turn in homework torn from a spiral notebook without trimming the ragged edges! Problems must be numbered. Try to be organized and neat as possible. No red ink or red pencil may be used on your work. Any homework turned in that does not comply with these conditions will be ignored.
Do your OWN work. Do not loan homework to a fellow student. It is OK for students to help each other and to share ideas and knowledge.  Students who copy homework will receive an F for the assignment.

#### Exams:

There will be four class exams (tentative dates are: Feb. 6, Feb.28, Apr. 4 and Apr 30 and a comprehensive final exam (May 9, 8:00-10:00 am). Each exam is worth 100 points and the final is worth 130 points. Since I do not ordinarily give make-up exams, only the most serious reason constitutes an excuse for missing an exam. Any student who is caught cheating during an exam, as a first offense, will receive 0 points on that exam. Students with a second offense of cheating will receive the grade of "F" in the course.

There are 630 total possible points. Your final grade will be assigned by taking your total accumulated points and dividing by total number of possible points (6.3), wherever this resultant fits in the table that is your final letter grade.

 Percent 100-90 89-85 84-80 79-75 74-70 69-65 64-60 Below 60 Grade A B+ B C+ C D+ D F

### Student Learning Outcome

This course will be used to assess the Mathematics program Student Learning Outcome #2: “Set up and solve problems in mathematics modeling the physical world, with justification of each step in the process, and with a determination of the reasonableness of the solution”. This learning outcome will be measured using a few problems from the final exam. You will not be inform of what problems are used. This assessment has no impact on your final grade. Rather, the results of this assessment may be used to modify or enhance this course and our program where needed.

### DISCLAIMER:

The schedule is tentative and can be modified at any time if needed. While every effort will be made to adhere to the syllabus, I reserve the right to amend the syllabus when deemed necessary. The student is responsible for noting of any changes, which will be announced during class periods. There is no extra credit possibility for this course on an individual basis. DO NOT ASK! If I decide to use the extra credit option it will be available for the entire class.

### CLASS EXPECTATIONS:

• Attend class prepared, be ready to hand in homework and be ready to work.
• If you miss a class you are responsible for the material covered. I will not re-teach the material during office hours or another class.
• You may use a calculator, unless I explicitly say you can not.
• If appropriate, a laptop, mobile device or computer may be used for note taking or for use of an e-book, however I may ask you to move to a less disruptive location. Other uses of such devices is prohibited.
• No laptop, mobile device or personal computer may be used during exams.
• No cell phone calculator applications will be allowed during exams.
The following class room behaviors are not acceptable at the University, and will not be tolerated.
• Attending class late or leaving class and returning. If you leave do not return!
• Cell phone usage / texting / usage of a recreational electronic device / internet usage.Turn them off!
• Usage of laptop or mobile device for non-classroom activity.