MA212 Calculus and Analytic Geom III

for U1T 2011

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MA 212 Calculus and Analytic Geom III


U1T 2011 DL


Benny Phillips, Ph.D.


Adjunct Faculty


B.S, M.S., Ph.D. Electrical Engineering

Office Location


Office Hours



Class Days


Class Time


Credit Hours


University Calculus: Alternate Edition 1/e
Hass, Weir & Thomas
©2008 | Addison-Wesley | Cloth Package; 922 pp
ISBN: 978-0321471963

Textbooks can be purchased through the MBS bookstore

Textbooks can be purchased through the Parkville Bookstore

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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:
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:
  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. Apply techniques to determine the convergence of sequences and series.
  2. Become familiar with well-known sequences and series.
  3. Represent elementary functions using power series.
  4. 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.
  5. Define and apply vector operations in two and three dimensions.
  6. Define and apply vector methods to analyze lines and planes in space.
  7. 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 submission of homework may be accepted under special circumstances.

It is unfair to other students to allow some individuals to submit assignments after the scheduled due date. The following is a list of valid reasons for submitting late work:

  • A medical emergency or a serious acute illness. All medical emergencies and illnesses must be verified by a note on letterhead by an M.D., D.O., P.A., or R.N. I will not normally accept a note from other health professionals (e.g., Ph.D., MSW, D.C., Physical Therapist) because their professional functions rarely involve medical emergencies or acute illnesses. I will accept late work for students who can provide evidence of a verified medical emergency (but not acute illness) involving a child, spouse, parent, sibling, or grandparent.
  • An Accident or Police Emergency. I will require an accident report or note on letterhead from an appropriate law enforcement officer to accept late work due to accidents or police emergencies (e.g., assault on student, student taken hostage, detained witness of a crime).
  • Unforeseen Jury or Witness Duty. I will require a note on letterhead from a judge or attorney to accept late work due to jury or witness duty.
  • Unforeseen Military Deployment or Activation. I will require a note on official letterhead from your commanding officer.
  • Funerals for Immediate Family Member (e.g., parents, siblings, grandparents, aunts/uncles, first cousins). I will require a copy of the obituary or a note from a minister or funeral director.

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 2010-2011 Undergraduate Catalog Page 92

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 2010-2011 Undergraduate Catalog Page 92-93

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: An attendance report of "P" (present) will be recorded for students who have logged in to the Online classroom at least once during each week of the term. Recording of attendance is not equivalent to participation. Participation grades will be assigned by each instructor according to the criteria in the Grading Policy section of the syllabus.

Park University 2010-2011 Undergraduate Catalog Page 95-96

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:5/14/2011 9:08:14 AM