MA212 Calculus and Analytic Geom III

for S1T 2012

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Vision Statement: Park University, a pioneering institution of higher learning since 1875, will provide leadership in quality, innovative education for a diversity of learners who will excel in their professional and personal service to the global community.


MA 212 Calculus and Analytic Geom III


S1T 2012 DL


Jerome, Lawrence


Senior Instructor


B.S. Engineering Science, Florida State University
M.S. Materials Science, Florida State University
M.S. Mathematics, Alan Hancock College

Office Location

Solvang, California

Office Hours

10:00 am to 6:00 pm Pacific Time

Daytime Phone




Semester Dates

January 16, 2012 to March 11, 2012

Class Days


Class Time



MA210 & MA211

Credit Hours



The textbook is also available online to Park students.

The course - MA212
The present ISBN - 03121717392
The textbook title - University Calculus Early Trascendentals
The author - Hass, Weir and Thomas
The edition - 2nd

Textbooks can be purchased through the MBS bookstore

Textbooks can be purchased through the Parkville Bookstore

Additional Resources:

Microsoft Word and Excel. 
Optional:  calculator, Maple

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Course Description:
MA212 Calculus and Analytic Geometry III: The algebra and calculus of vectors and vector functions, constant termed sequences and series, power series and convergence criteria. 3:0:3 Prerequisite: MA211.

Educational Philosophy:

My philosophy is to be online and in the courseroom almost every day, seven days a week.  I participate fully in discussions and provide timely feedback on discussions and assignments.  I also provide addition tutorials and lectures where I feel they can help students--I am particularly skilled in Excel and provide tutorials showing how to calculate, graph and solve problems using this powerful mathematical tool.
I have a fair number of recent publications involving math and statistics:
  “Generalized Assignment Matrix Methodology in Linear Programming”, The International Journal for Technology in Mathematics Education (IJTME), To be published in first half of 2012.

 “Teaching Statistics Online Using Excel”, Mathematics and Computer Education, Vol. 45, Issue 1, February, 2011, p. 17.

  Catmull-Rom curve fitting and interpolation equations, International Journal of Mathematical Education in Science and Technology, July 21, 2010.  

  Finite Differences and Polynomial Recursion Equations.   Mathematics and Computer Education, Vol. 44, #2, Spring 2010, p. 118.

  Multiple linear and non-linear regression in Minitab, MSOR Connections Vol 9 No 3 August – October 2009:

  Application Project:  Statistics and Discrete Mathematics:  Implementing Weekly Live Chat Sessions with Recordings in eCollege
Park CETL, 4/24/07.   Published, 6/1/2009.

 “Teaching Mathematics Online”, Online Classroom, May, 2009:

Learning Outcomes:
  Core Learning Outcomes

  1. Perform integration by choosing and executing correctly appropriate techniques: substitution, by parts, by partial fractions.
  2. Use L'Hopital's rule to compute limits that have indeterminate forms.
  3. Determine whether an improper integral converges (and then evaluate) or diverges.
  4. Determine whether an infinite series converges or diverges using standard tests.

  Instructor Learning Outcomes
  1. Learn to use Excel for calculating sequences and graphing functions
  2. Construct parametric equations to represent conic sections, sketch their graphs in Cartesian and polar coordinates, and use conic sections to model paths of moving objects.
  3. Learn and apply vector operations in two and three dimensions
  4. Differentiate and integrate vector-valued functions and find position, velocity, acceleration, curvature, and arc length associated with an object moving along a space curve.
Core Assessment:
  • Periodic assignments
  • Quizzes
  • Tests

Class Assessment:

Homework – Weekly homework will contain exercises derived from your textbook to be submitted by the deadline indicated in the syllabus (usually by the Sunday of the corresponding week). Each homework assignment contains 10 questions.

Quizzes Each week includes 1 quiz.  The weekly quiz is timed and may be submitted 3 times for a better score. The quizzes are due by 11:59 CST on Sunday of the academic week.  No late submissions are allowed. Each quiz contains 10 questions.

Weekly Discussion – Respond at least once to a topic for that week, and post a ‘thoughtful’ comment to someone else's posting. Refer to discussion thread instructions for more details on discussion requirements.

Final Exam – Complete the final exam in Week 8.




Total %







Final Exam




In terms of percentage, the final grade will be according to the following scale:

Overall %

Letter Grade

90 – 100 %


80 – 89 %  


70 – 79 %


< 60 %    


Late Submission of Course Materials:

No late submissions and posting are accepted for the two quizzes and the weekly discussion. These learning activities must be completed within the online week to which they refer.

Late homework submissions will be subject to a "late fee" of 10% per day.

Classroom Rules of Conduct:
Participation is expected. Weekly discussion question will be required and I request you treat all other class 
members as you would like to be treated. 

Course Topic/Dates/Assignments:


This week presents the theory of infinite sequences and series to find out how to add infinitely many numbers together.

Chapter 9 – Infinite Sequences and Series (Sections 9.1 to 9.5)


This week introduces techniques for representing elementary functions as power series.

Chapter 9 – Infinite Sequences and Series (Sections 9.6 to 9.10)


This week examines curves or conic sections, derivatives, and integrals in polar coordinates.

Chapter 10 – Polar Coordinates and Conics (Sections 10.1 to 10.6)


This week presents definitions and applications of vector operations in two and three dimensions.

Chapter 11 – Vectors and the Geometry of Space (Sections 11.1 to 11.3)


This week shows application of vector methods for analyzing lines and planes in space.

 Chapter 11 – Vectors and the Geometry of Space (Sections 11.4 to 11.6)


This week introduces the calculus of vector-valued functions, including their derivatives and integrals, to study paths, velocities, and accelerations of moving bodies.

Chapter 12 – Vector-Valued Functions and Motion in Space (Sections 12.1 to 12.3)


This week presents applications of the calculus of vector-valued functions to find arc length, curvature, tangential and normal components of acceleration vector.

Chapter 12 – Vector-Valued Functions and Motion in Space (Sections 12.4 to 12.6)


Material review and final exam


Discussions –
Initial Posts by Friday at midnight CST, follow-up post by Sunday at midnight CST.

Assignments (Homework and Quizzes) – By Sunday at midnight CST

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 students and faculty members are encouraged to take advantage of the University resources available for learning about academic honesty ( or Park University 2011-2012 Undergraduate Catalog Page 93

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. from Park University 2011-2012 Undergraduate Catalog Page 93

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 "F".
  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.
ONLINE NOTE: Students must participate in an academically related activity on a weekly basis in order to be marked present in an online class. Examples of academically-related activities include but are not limited to: contributing to an online discussion, completing a quiz or exam, completing an assignment, initiating contact with a faculty member to ask a courserelated question, or using any of the learning management system tools.

Park University 2011-2012 Undergraduate Catalog Page 96

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. Additional information concerning Park University's policies and procedures related to disability can be found on the Park University web page: .


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Last Updated:12/27/2011 12:39:44 PM