Math 227-Calculus III

Section 001, Fall 2008.

Course notes | Exams | Grading | Homework | Old Tests

Professor: Martyn Dixon
Office: 312B Gordon Palmer
Telephone: 348-5154
e-mail: mdixon at gp dot as dot ua dot edu
Office Hours: Monday-Thursday 12:30-2:00 pm, or by appointment.

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

COURSE 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.

COURSE OBJECTIVES: Provide a thorough introduction to multi-dimensional aspects of calculus and its applications. Students will demonstrate a basic understanding of the concepts and will be able to do routine calculations such as finding partial derivatives, working with Lagrange multipliers, solving multiple integration problems and their applications, and working with Green's Theorem and Stoke's 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.

COURSE MATERIALS:
1. Text: Essential Calculus: Early Transcendentals by J. Stewart, published by Brooks/Cole.
2. A calculator for aid in doing homework problems. Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.

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)

Exam Schedule:

Exam Date
Test 1 Tuesday, September 16, 6:30-7:50 pm (Comprehensive)
Test 2 Tuesday, October 7, 6:30-7:50 pm (Comprehensive)
Test 3 Tuesday, October 28, 6:30-7:50 pm (Comprehensive)
Test 4 Tuesday, November 25, 6:30-7:50 pm (Comprehensive)
FINAL EXAM Monday, December 8, 3:30-6:00 pm. (Comprehensive)

Note that each exam will be a comprehensive written exam, that is, each exam will be based on ALL previous work in the course. Please note also that the use of electronic devices (calculators, cell phones etc.) will not be permitted during tests.

Last day to drop with a grade of W: Wednesday, October 29, 2008. No withdrawals from this course can be made after this date.

Attendance Policy and Grading:

Attendance is required at the lectures. Students are solely responsible for any work missed during an absence.

There are four test scores. The final exam will be counted twice giving a total of six scores each out of 100. The lowest of these scores will be dropped and your grade then determined using the five remaining scores, each weighted equally. The average score will determine your grade for the course. (Thus effectively, your final exam if it is higher than some intermediate test, will replace that test score.) There will be no make-ups for missed exams. If you miss a test then that will count as your dropped grade. If you miss further tests, and have a reasonable excuse for so doing, then your final will count the appropriate amount more. Make sure that you do not miss the final exam!

Your grade for the course will be based on the following scale:

A+ [97,100) A [92,97) A- [90,92)
B+ [87,90) B [82,87) B- [80,82)
C+ [77,80) C [72,77) C- [70,72)
D+ [67,70) D [62,67) D- [60,62)
F [0,60)

Course Notes

 This class is designated as being worth 4 credit hours. This represents the number of hours in a regular semsester that you come to class each week. The University guidelines concerning additional time to be spent outside of class, doing work for this course, are that for each hour you are in class you should spend an additional two hours each day learning the material covered in lectures; this will include studying class notes and the textbook, and completing homework assignments. Each class period I shall assign homework from the book. This should not be handed in, but you should complete the assignment before the next class so that we can discuss any problems that may have arisen. IT IS IMPORTANT TO DO THIS HOMEWORK EVEN THOUGH IT IS NOT BEING HANDED IN. Although I do not take roll every class period I expect you to attend every class since it is my experience that students who miss class on a regular basis rarely do well. At the weekend you should spend a few more hours reviewing the previous week's work and doing additional problems if neccesary. If you start to get lost get help immediately either by coming to office hours or seeking the aid of a tutor (the mathematics department has a list). There are videotapes of this course at the Center for Teaching and Learning. Your grade depends upon you and how much time and effort you are prepared to put in.

CODE OF ACADEMIC CONDUCT STATEMENT

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. The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct (see also Student Handbook).

DISABILITY ACCOMMODATION STATEMENT

Students with disabilities are encouraged to register with the Office of Disability Services, 348-4285 (see also Office of Disability Services). Thereafter, you are invited to schedule appointments to see me during my office hours to discuss accommodations and other special needs.

Course notes | Exams | Grading | Homework | Old Tests