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MA 212 Calculus and Analytic Geometry III
Phillips, Benny


Mission Statement: The mission of Park University, an entrepreneurial institution of learning, is to provide access to academic excellence, which will prepare learners to think critically, communicate effectively and engage in lifelong learning while serving a global community.

Vision Statement: Park University will be a renowned international leader in providing innovative educational opportunities for learners within the global society.

Course

MA212 Calculus & Analytical Geometry III

Semester

Spring 1, 2006 (S1W06)

Faculty

Phillips, Benny

Title

Academic Director/Sr. Adjunct Professor

Degrees/Certificates

M.S, B.S., and Ph.D.

Office Location

Tinker AFB Campus

Office Hours

By Appointments

E-Mail

benny.phillips@park.edu

benny.phillips@sbcglobal.net

Semester Dates

Wednesday January 11, 2006 - Thursday, March 09, 2006

Class Days

M-W

Class Time

4:30-7:20

Perquisites

MA 211 or equivalent

Credit Hours

3


Textbook:
Jerrold Marsden and Anthony Tromba, Vector Calculus, Fifth Edition, W.H. Freeman and Company, New York, 2003.  ISBN 0-7167-4992-0.

Textbooks can be purchased though the MBS bookstore

Additional Resources:
A scientific calculator with graphing capability is required.

Students must download a free copy of LiveMath Viewer from http://www.livemath.com/download to be able to simulate mathematical concepts introduced in the class using a stand-alone computer.

Students must download a free copy of LiveMath Plug-In/ActiveX from http://www.livemath.com/download to be able to simulate mathematical concepts introduced in the class using the Internet.

A laptop computer is strongly recommended.


Course Description:
The algebra and calculus of vectors and vector functions, constant termed  sequences and series, power series and convergence criteria.

Educational Philosophy:
The facilitator's educational philosophy is one of interactiveness based on lectures, readings, quizzes, dialogues, examinations, internet, videos, web sites and writings. The facilitator will engage each learner in what is referred to as disputatious learning to encourage the lively exploration of ideas, issues and contradictions.

  Instructor Learning Outcomes

  1. Calculate the gradient of a scalar field and understand the results.
  2. Calculate the divergence and curl of vector fields.
  3. Understand and use differential operator, del, and vector identities.
  4. Calculate line, surface and volume integrals.
  5. Understand the integral theorems of vector calculus.
  6. Calculate simple partial differential equations.
  7. Perform Convergence and Divergence Tests for infinite series
Class Assessment:
Attendance, homework, quizzes and examinations will be included in the student's assessment.

Grading:
Examinations: 40 points (2 exams, 40% of the course grade)
Quizzes: 20 points (4 quizzes, 20% of course grade)
Homework: 20 points (4 homeworks, 20% of course grade)
Attendance: 20 points (20% of course grade)
A >= 90 points, 80 <= B <90, 70 <= C < 80, 60 <= D <70, F < 60.

Late Submission of Course Materials:
Late work will not be accepted without prior arrangements with the instructor.

Classroom Rules of Conduct:
Students will arrive to class on time and return punctually from any breaks. Students will be courteous to other students and the instructor.

Course Topic/Dates/Assignments:
Week1:
The Geometry of Euclidean Space (Chapter 1, Vectors, Matrix, Cylindrical and Spherical Coordinates).
Differentiation (Chapter 2, Paths, Curves, Gradients, Directional Derivatives).
Homework1 and quiz 1.  Homework will involve computer simulation using LiveMath Viewer and/or LiveMath Plug-In.

Week 2:
Higher-Order Derivatives (Chapter 3, Iterated Partial Derivatives, Taylor's Theorem).
Vector-Valued Functions (Chapter 4, Acceleration and Newton's Second Law, Arc Length, Vector Fields, Divergence and Curl)

Week 3:
Double and Triple Integrals (Chapter 5).
The Change of Variables Formula and Application of Integration (Chapter 6)
Homework2 and quiz2.  Homework will involve computer simulation using LiveMath Viewer and/or LiveMath Plug-In.

Week 4:
Review and Midterm Exam

Week 5:
Integrals over Paths and Surfaces (Chapter 7, Path Integral, Line Integrals, Integrals of Scalar Functions Over Surfaces, Surface of Integrals of Vector Fields)
Homework3 and quiz3.  Homework will involve computer simulation using LiveMath Viewer and/or LiveMath Plug-In.

Week 6:
The Integral Theorems of Vector Analysis (Chapter 8, Green's Theorem, Stokes' Theorem, Conservative Fields, Gauss' Theorem)

Week 7:
Infinite Series (instructor will bring in extra handouts, Sequences, Convergent and Divergent Series, Ratio and Root Tests, Alternating and Absolute Convergence, Power Series, Maclaurin and Taylor Series)
Homework4 and quiz4.  Homework will involve computer simulation using LiveMath Viewer and/or LiveMath Plug-In.

Week 8:
Review and Final Exam

Academic Honesty:
Academic integrity is the foundation of the academic community. Because each student has the primary responsibility for being academically honest, students are advised to read and understand all sections of this policy relating to standards of conduct and academic life.   Park University 2005-2006 Undergraduate Catalog Page 85-87

Plagiarism:
Plagiarism involves the use of quotations without quotation marks, the use of quotations without indication of the source, the use of another's idea without acknowledging the source, the submission of a paper, laboratory report, project, or class assignment (any portion of such) prepared by another person, or incorrect paraphrasing. Park University 2005-2006 Undergraduate Catalog Page 85-87

Attendance Policy:
Instructors are required to maintain attendance records and to report absences via the online attendance reporting system.

  1. The instructor may excuse absences for valid reasons, but missed work must be made up within the semester/term of enrollment.
  2. Work missed through unexcused absences must also be made up within the semester/term of enrollment, but unexcused absences may carry further penalties.
  3. In the event of two consecutive weeks of unexcused absences in a semester/term of enrollment, the student will be administratively withdrawn, resulting in a grade of "WH".
  4. A "Contract for Incomplete" will not be issued to a student who has unexcused or excessive absences recorded for a course.
  5. Students receiving Military Tuition Assistance or Veterans Administration educational benefits must not exceed three unexcused absences in the semester/term of enrollment. Excessive absences will be reported to the appropriate agency and may result in a monetary penalty to the student.
  6. Report of a "F" grade (attendance or academic) resulting from excessive absence for those students who are receiving financial assistance from agencies not mentioned in item 5 above will be reported to the appropriate agency.

Park University 2005-2006 Undergraduate Catalog Page 89

Disability Guidelines:
Park University is committed to meeting the needs of all students that meet the criteria for special assistance. These guidelines are designed to supply directions to students concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the Americans with Disabilities Act of 1990, regarding students with disabilities. In the case of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Park University is committed to meeting the needs of all learners that meet the criteria for special assistance. These guidelines are designed to supply directions to learners concerning the information necessary to accomplish this goal. It is Park University's policy to comply fully with federal and state law, including Section 504 of the Rehabilitation Act of 1973 and the American with Disabilities Act of 1990, regarding learners with disabilities and, to the extent of any inconsistency between these guidelines and federal and/or state law, the provisions of the law will apply. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: http://www.park.edu/disability .

Additional Information:

Copyright:

This material is copyright and can not be reused without author permission.