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MA 212 Calculus and Analytic Geometry III
Ottum, Joseph A.


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.
CourseMA 212 Calculus and Analytic Geometry III LC
SemesterS2AA2005
FacultyOttum, Joseph A.
TitleInstructor
Daytime Phone210-844-0363
E-MailJoseph.Ottum@pirate.park.edu
Semester Dates14 Mar 05 - 08 May 05
Class Days-M-W---
Class Time7:35 - 10:05 PM
PerquisitesMA 210, MA211
Credit Hours3

Textbook:
Larson, Hostetler, and Edwards.  Calculus with Analytic Geometry.  7th edition.  Boston Mass, Houghton Mifflin Company, 2002.

Textbooks can be purchased though the MBS bookstore

Additional Resources:
Graphing Calculator (recommend TI-89)


Course Description:
The algebra and calculus of vectors and vector functions, constant termed sequences and series, power series and convergence criteria.  Pre-requisite:  MA211.  3:0:3

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.

Learning Outcomes:
COURSE OBJECTIVES:  Upon completion of the course, the student should understand and be able to apply the following mathematical concepts:
• Component Form of Vector, Vector Operations, Unit Vectors, Applications of Vectors
• Coordinates in Space, Vectors in Space, Application of Vectors in Space, Inner Product
• Orthogonal Vectors, Projections, Outer Product, Triple Scalar Product  
• Lines and Planes in Space, Distance between Points, Lines, and Planes
• Cylindrical Surfaces, Surfaces of Revolution, Cylindrical Coordinates, Spherical Coordinates
• Space Curves and Vector-Valued Functions, Differentiation of Vector-Valued Functions
• Velocity and Acceleration, Projectile Motion, Tangent and Normal Vectors
• Arc Length, Curvature, Functions of Several Variables, Level Curves and Surfaces,
• Neighborhoods in the Plane, Limit and Continuity of Two and Three Variable Functions,
• Partial Derivatives, Higher Order Derivatives, Differentials, Approximation by Differentials,
• Chain Rule for Multiple Variable Functions, Implicit Partial Differentiation, Directional Derivative
• Gradient of Two Variable Function, Absolute Extrema of Functions of Two Variables
• Second Partial Test, Applied Optimization, Lagrange Multipliers, Constrained Optimization
• Iterated Integrals, Area of Plane, Double Integrals and Volume, Properties of Double Integrals
• Double Integrals in Polar Coordinates, Center of Mass and Moment of Inertia
• Double Integrals and Surface Area, Triple Integrals, Triple Integrals in Cylindrical and Spherical Coordinates
• Change of Variables, Jacobians

Course Assessment:
COURSE ASSESSMENT:
- Tests
- Notebook
- Final Examination

Grading:
Two Tests 25% of final grade each
Homework Notebook 15% of final grade
Final Examination 35% of final grade

Grades A:90-100 B:85-89 C:80-84 D:70-79


HOMEWORK:
Homework should be done and maintained in a notebook along with note and other work.  The notebook will be presented during the final examination for evaluation.

Late Submission of Course Materials:
Assignments should be turned in on the specified due date.

Classroom Rules of Conduct:
Students are expected to participate fully in class learning activities.  Phones and beepers are to be placed on “vibrate” or turned off.  Students are required to exercise courteous behavior between themselves and with the instructor.

Course Topic/Dates/Assignments:
Week Date Topic(s) Chapter(s)
1 3/14,16
 Vectors in the Plane, Space Coordinates, Vector Products
 Chapter 10
2 3/21,23
 Distances in Space, Cylindrical and Spherical
 Coordinates, Vector Valued Functions Chapters 10-11
3 3/28,30
 TEST 1, Differentiation and Integration of Vector Valued
 Functions Chapter 11
4 4/4,6
 Velocity and Acceleration, Tangential and Normal
 Vectors, Functions of Several Variables Chapters 11-12
5 4/11,13
 Differentials and Chain Rule of Functions of Several
 Variables, Directional Derivatives and Gradients
 Chapter 12
6 4/18,20
 Extrema of Functions of Two Variables, Lagrange
 Multipliers, Test 2 Chapter 12
7 4/25,28
 Iterated Integrals, Double Integrals, Polar Coordinates,
 Center of Mass and Moments of Inertia Chapter 13
8 15/2,4
 Surface Area, Triple Integrals, Jacobians, FINAL
 Chapter 13

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 2004-2005 Undergraduate Catalog
Page 101

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. <a href="http://www.park.edu/catalog">
Park University 2004-2005 Undergraduate Catalog</a> Page 101

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 2004-2005 Undergraduate Catalog Page 100

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