MATH 227 Section 050: Calculus III

This course covers the last third of the basic calculus sequence.  Topics include analytic geometry in space, vector-valued functions and motion in space, functions of two or more variables and their partial derivatives, applications of partial differentiation (including Lagrangian multipliers), quadric and cylindrical surfaces, multiple integration with applications, line and surface integrals, Green's Theorem, curl and divergence, the divergence and Stokes’ Theorems.

LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:

1. Students will be able to identify key concepts in the sciences and mathematics to provide a broad perspective on the human condition.
2. Students will be able to characterize scholarly research methods.
3.  Students will be able to model physical and natural phenomena using the language of mathematics.

LEARNING OUTCOMES FOR THIS COURSE:

1. Students will demonstrate a basic understanding of the multi-dimensional aspects of calculus and its applications.
2. Students will learn to work with parametric representations of curves and surfaces and be able to do standard calculations using them.
3. Students will be able to do routine calculations of partial derivatives.
4. Students will be able to apply partial derivatives to various applied problems such as working with Lagrange multipliers.
5. Students will be able to solve multiple integration problems and their applications.
6. Students will learn the basics of vector analysis and be able to apply Green’s, Stokes’, and the divergence theorems.

CHAPTERS COVERED:

10        Vectors and the Geometry of Space, sections 1–9 (Review of 1–5).

11        Partial Derivatives, sections 1–8.

12        Multiple Integrals, sections 1–8.

13        Vector Calculus, sections 1–9.

HOMEWORK:  Homework is assigned throughout the course. Homework assignments will be completed on-line using WebAssign. You can expect new homework assignments after each class meeting; it will be due about 48 hours after it is assigned.

 WEBASSIGN INFORMATION:  To use WebAssign for the semester, you will need an access code. If you do not have one (e.g. packaged with your book), you will need to purchase one (for a small fee). The access code can be purchased online after you login (at the time you are asked for the code). WebAssign gives you a short grace period in which you can access and work problems before you have to have an access code. After the grace period, you must enter a valid code before you can continue using WebAssign.

LOGIN INSTRUCTIONS:  To log in to WebAssign go to www.webassign.net. Our class key is ua 9288 3397. Complete the profile section by providing your full name and email address. Choose a Username and Password that you can remember. The Institution is ua.

TESTS:  There will be three (3) tests during the semester.  The tests will be given on Thursdays in our classroom from 2:00 – 3:15 PM. The lowest midterm test score will be replaced by the final exam score if the final is higher. There will be no make-up test: if you miss a midterm test for any reason, that test will count as your lowest score and will be replaced. No student should miss two or more tests. One standard size page of notes will be allowed for each test and the final exam.

Grades will be determined from homework (15 %), three mid-semester tests (20 % each), plus a comprehensive final examination (25 %). The lowest of your first three test scores will be replaced by your final exam score (if it is higher).

There will be no make-up test: if you miss a midterm test for any reason, that test will count as your lowest score and will be replaced. No student should miss two or more tests.

You are expected to attend all classes and attendance will be taken. There will be no makeup tests or quizzes.

All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.

The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.

If you are registered with the Office of Disability Services, please make an appointment with me as soon as possible to discuss any course accommodations that may be necessary. If you have a disability, but have not contacted the Office of Disability Services, please call 348-4285 or visit 133-B Martha Parham Hall East to register for services. Students who may need course adaptations because of a disability are welcome to make an appointment to see me during office hours. Students with disabilities must be registered with the Office of Disability Services, 133-B Martha Parham Hall East, before receiving academic adjustments.

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UA is a residential campus with many students living on or near campus. In general classes will remain in session until the National Weather Service issues safety warnings for the city of Tuscaloosa. Clearly, some students and faculty commute from adjacent counties. These counties may experience weather related problems not encountered in Tuscaloosa. Individuals should follow the advice of the National Weather Service for that area taking the necessary precautions to ensure personal safety. Whenever the National Weather Service and the Emergency Management Agency issue a warning, people in the path of the storm (tornado or severe thunderstorm) should take immediate life saving actions.

When West Alabama is under a severe weather advisory, conditions can change rapidly. It is imperative to get to where you can receive information from the National Weather Service and to follow the instructions provided. Personal safety should dictate the actions that faculty, staff and students take. The Office of Public Relations will disseminate the latest information regarding conditions on campus in the following ways:

• Weather advisory posted on the UA homepage
• Weather advisory sent out through Connect-ED--faculty, staff and students (sign up at myBama)
• Weather advisory broadcast over WVUA at 90.7 FM
• Weather advisory broadcast over Alabama Public Radio (WUAL) at 91.5 FM
• Weather advisories are broadcast via WUOA/WVUA-TV, which can be viewed across Central Alabama. Also, visit wvuatv.com for up-to-the-minute weather information. A mobile Web site is also available for your convenience.