MATH 227 Section 004: Calculus III

SYLLABUS FOR MATH 227

Fall 2009

COURSE TITLE:  Honors Calculus III

INSTRUCTOR:  Professor James L Wang

OFFICE:  140 Gordon Palmer, telephone: 348-1972, E-mail: jwang@as.ua.edu

OFFICE HOURS:  MW: 3-4 PM,  TTh: 2-3:30 PM, (or by appointments)

PREREQUISITES:  A grade of C- or higher in MATH 126 (or Equivalent)

DESCRIPTION:  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, and multiple integration (including Jacobian) and applications, line integrals, Green's Theorem, curl and divergence, surface integrals, and Stokes’ Theorem.

LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:

1. Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective.
2. Students will be able to demonstrate effective written communication skills.

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.

TEXT:                        Essential Calculus (Early Transcendentals)          

AUTHOR:                 Stewart

PUBLISHER:           Brook/Cole

CREDIT HOURS:    4

CHAPTERS COVERED:

10        Vectors and the Geometry of Space

            (review 10.1 – 10.5 and cover 10.6 – 10.9)

11        Partial Derivatives (cover 11.1 – 11.8)

12        Multiple Integrals (cover 12.1 – 12.8)

13        Vector Calculus (cover 13.1 – 13.9)

CLASS ATTENDANCE: Students are expected to attend all classes. Makeup examinations will be given only in the event of serious illness or other extreme cases, and only if timely notification is given. Perfect attendance will be rewarded with 5 BONUS POINTS.

COURSE GRADES: The online homework and quiz and the 4 tests each counts 10%,  a comprehensive final exam counts 40% of the grade. 

ACCOMMODATION: In order to provide the appropriate accommodations, any student with disabilities should contact the office of Disability Services at 348-4285 (www.ods.ua.edu) and then notify the instructor as early as possible.

FREE TUTORING: Center for Teaching and Learning, see www.ctl.ua.edu for more information. 

Academic Misconduct:  All acts of dishonesty in any work constitute
academic misconduct. This includes, but is not limited to, cheating,
plagiarism, fabrication of information, misrepresentation, and abetting
any of the above. The Academic Misconduct Disciplinary Policy will be
followed in the event that academic misconduct occurs. Students should
refer to the Student Affairs Handbook which can be obtained from the
Student Life Office in Ferguson Center.
( http://www.sa.ua.edu/campusactivities/Handbook7.htm )

Disability Access Statement: "To request accommodations, please contact
the Office of Disability Services at 348-4285. After initial
arrangements are made with that office, contact your professor."

 “I hear and I forget .........  I see and I remember.........

I do and I understand!!!"   (A quote from a Chinese Wiseman.)  

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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