COURSE SYLLABUS
General Information: Fall 2008
Course title and number: Math 203 Calculus III
Required Text: Calculus, (8th ed.) Larson, Hostetler, Edwards
Instructor's name: Donald P. Robinson , Professor
Office hours/location: H-23 MWF 8:15-8:45 am T Th 9:55-10:45 am plus
others set up via email for your individual questions
Office Phone: 301-784-5237
AOL Instant Message Name: DPR784
EMail: drobinson@allegany.edu
Fax: 301 784 5060
Class meeting time: Web class
*Please note: Under extenuating circumstances, the instructor has the right
to change any course provisions or requirements during the semester.
I. PURPOSE
A. Catalog description
This course includes a study of vectors in n-space and their applications, partial derivatives, multiple integrals and line integrals. A graphing calculator is required. TI-83 is strongly recommended. Approximate cost is between $80 and $110 at the bookstore.
Prerequisite: Mathematics 202 (Calculus II)
B. Course objectives:
Learn about operations with vectors in two and three dimensions and applications of vectors to physics and engineering.
Learn about three dimensional analytical geometry and surfaces.
Learn about vector valued functions and applications.
Study functions of several variables and partial derivatives and applications.
Learn about multiple integral and applications of multiple integrals.
Introduction to vector analysis, line integrals, Green’s theorem, and divergence.
II. CLASS POLICIES
A. Attendance
Units should be studied, listened to, and homework should be completed according to the posted schedule of events. Exams must be taken by the required dates, so getting behind can be a serious problem. There is no class to attend, but at least weekly, have contact with the instructor by email or messenger to discuss your questions and progress in the lessons.
B. Try to get into a routine of checking out the lectures during a regular basis, say every evening after dinner, or every morning when you get up. Probably 'best practice' is to do the assigned problems right after examining the lecture material and examples. Of course, study for exams by doing or redoing more problems. It is crucial for you to help me do a better job by asking questions (via email) about the problems you don't understand. I have a way of answering via email that will surprise you, I hope.
C. Grades:
There will likely be five regular exams, one at the completion of each unit (see IV A for units), and possibly a weighted comprehensive exam. The scale will be no more difficult than:
90 - 100 = A
80 - 89 = B
70 - 79 = C
60 - 69 = D
under 59 = F
There will be no other grades.
D. Extra credit: is not given in this course.
E. Tutoring may be available, but is not likely. You must contact the office controlling this in your own school. AC students contact Bill Devlin in room H-22 to arrange for help. AC students, if you have a disability that impairs your access to this course or your ability to pursue the coursework as it is presented, please see Carol Davis in the Instructional Assistance Center H-22. If you are at a distant site, I don’t know what to tell you. See your local version of the AC Instructional Assistance Center.
F. Assignments are for your benefit. You really can’t learn or retain mathematics without doing mathematics. If conditions warrant, the assignments will be collected and the grading will be approximately equal to another exam grade to be averaged in. I will accept MathCad assignments, scans of written assignments, snail mail, or faxes (if done in black pen only!). This is your responsibility. Assignments should be neat and legible. Also, assignments must be submitted when required.
G. Assignments are to be prepared for submission when due. Late assignments will not be accepted.
H. Cheating will not be tolerated. The AC Student Handbook describes the policy in regard to this matter. You should make yourself familiar with this. Other schools have similar policies, and I will try to abide by them as cases occur.
I. Make up exams will not be given. If you are unable to attend the scheduled exam, and you have a sound reason for absence, then you must contact the instructor before the exam date.
III. COURSE REQUIREMENTS
Course outline
Vectors and the geometry of spacevectors in R2
vectors and coordinate systems in R3
dot product of vectors
cross product of vectors
lines and planes in R3
surfaces in R3
Cylindrical and spherical coordinates
Vector-valued functions
Vector Valued Functions
Differentiation and integration of vector valued functions
Velocity and acceleration
Tangent and normal vectors
Arc length and curvature
Functions of several variables
Introduction to functions of several variables
Limits and continuity
Partial derivatives
Differentials
Chain rules for functions of several variables
Directional derivatives and gradients
Tangent planes and normal lines
Extrema of functions of two variables
Applications of extrema of functions of two variables
Lagrange multipliers
Multiple integrals
Iterated integrals and area in R2
Double integrals and volume
Change of variables, polar coordinates
Center of mass, moment of inertia
Surface area
Triple integrals and applications
Triple integrals in cylindrical and spherical coordinates
Change of variables: Jacobians
Vector analysis
Vector fields
Line integrals
Conservative vector fields and independence of path
Green’s theorem
Parametric surfaces
Surface integrals
Divergence theorem
Stoke’s theorem
B. Assignments: made as each lesson is completed.
C. Required Reading: Textbook, website
D. Recommended Reading Assignments: try to read the next section or two ahead before reviewing the web lesson. You may not understand it much but it will make the web lesson easier to understand.
E. Supplemental Learning Resources: MathCad software might be useful to you, as I have that also and files with questions or homework can be emailed to me in that format. If you wish to use other software, make sure you can 'save as' a .doc, .rtf, .pdf or something universally readable. The catalog description needs a fix, as the TI-89 is a better choice of calculator than the one listed there (TI-83), but really software (like MathCad) is better than that. If what you have is Maple or Mathematica (or anything else), let me know, and I will try to get a reader to open your files so you can use what you are familiar with.