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MATH 2110 Syllabus

Course Syllabus

MATH 2110 - Calculus III (formerly Calculus and Analytical Geometry III)

4 Credit Hours

Course Information

Course Description:

The topics studied in this course include:

  • space coordinates including cylindrical and spherical coordinates
  • vectors
  • vector functions and their derivatives
  • partial and directional derivatives
  • gradients
  • chain rule
  • implicit functions
  • extrema and saddle points
  • multiple integrals
  • applications including volume
  • centroids
  • moments of inertia
  • surface area
  • line integrals
  • vector fields
  • Stokes’ Theorem
  • Green’s Theorem and Divergence Theorem
Course Outcomes:

Upon successful completion of this course, students will:

  • Have demonstrated an acceptable level of mastery of the concepts and principles of calculus.
  • Have an understanding of mathematical analysis necessary to apply these concepts and principles to problem solving.
  • Have acceptable mastery of the calculus background necessary to pursue further coursework in mathematics, science, engineering and computer science. 
Prerequisites & Co-requisites:

MATH 1920 with a grade of C or better.

Course Topics:
  • Module I - Vectors and the Geometry of Space including the 3-D coordinate system, vectors, the dot product of vectors, the cross product of vectors, equations of lines with vectors, equations of planes with vectors, and cylinders and quadric surfaces.
  • Module II - Vector function analysis including vector functions, space curves, derivatives of vector functions, integrals of vector functions, arc length and curvature and motion in space with velocity and acceleration.
  • Module III - Partial Derivatives including functions of several variables, limits and continuity, partial derivatives, tangent planes, linear approximations, the Chain Rule, directional derivatives, gradient vectors, maximum and minimum values and Lagrange multipliers.
  • Module IV & V - Multiple Integrals including double integrals with rectangles, general regions and polar coordinates, iterated integrals, applications, surface area, triple integrals and triple integrals with cylindrical coordinates and spherical coordinates.
  • Module VI - Vector calculus including vector fields, line integrals, Fundamental Theorem of Line Integrals. Green’s Theorem, curl, divergence, parametric surfaces, surface integrals, Stoke’s Theorem and the Divergence Theorem. 
Specific Course Requirements:
  • Be able to use the email and discussions components of Desire2Learn (Referred to as D2L or the Course Management System).
  • Purchase the online ebook with WebAssign/Enhanced for course textbook, embedded videos and on-line assessments.
  • A graphing calculator in strongly encouraged for use in this course. 

Textbooks, Supplementary Materials, Hardware and Software Requirements

Required Textbooks:

Please visit the Virtual Bookstore to obtain textbook information for this course. Move your cursor over the "Books" link in the navigation bar and select "Textbooks & Course Materials." Select your Program, Term, Department, and Course; then select "Submit."

Supplementary Materials:
Hardware and Software Requirements:

Minimum hardware requirements can be found here.

Minimum software requirements can be found here.

Common applications you might need:

Web Resources:

Purdue OWL Online Writing Lab (for APA, MLA, or Chicago style)

The Writing Center Online Writer's Handbook

Student Resources:
  • Technical support information can be found on the TN eCampus Help Desk page.
  • Smarthinking virtual tutoring is available FREE of charge. to access Smarthinking, visit the course homepage and select Smarthinking under Course Resources. You also view sample sessions to see what Smarthinking offers and how it works.
  • Information on other student issues or concerns can be located on the TN eCampus Student Resources page.

Instructor Information

Please see "Instructor Information" in the Getting Started Module for instructor contact information, virtual office hours, and other communication information. You can expect to receive a response from the instructor within 24-48 hours unless notified of extenuating circumstances.

Participation, Assessments, & Grading

Testing Procedures:

The Mid-Term Examination and Proctored Final Examination are proctored. 

The mid-term examination and the final examination are proctored in a TBR Testing Center at a TBR university or community college. Please visit the RODP Proctoring Sites Web page (new window) for approved colleges and universities, exam scheduling and exam procedures. This is very, very important! 

Grading Procedures:
DescriptionPointsPercentage of Grade
Homework Average: 36 Homework assignments (points vary according to complexity of calculations required)12012%
6 discussions @ 5 points each303%
Quiz Average: 16 Quizzes (points vary according to complexity of calculations required)10010%
6 Tests @ 25 points each15015%
1 Mid-term exam @ 300 points30030%
1 Final exam @ 300 points30030%
Total Points1000100%

 

Grading Scale:
Point RangeAssigned GradePercent of Grade
900-1000 PointsA90-100%
800-899 PointsB80-89.9%
700-799 PointsC70-79.9%
600-699 PointsD60-69.9%
under 600 PointsFbelow 60%

 

Assignments and Projects:
Class Participation:
Late Policy:

It is very important to stay current will all assignments and assessments in this course. The course is very time-consuming and demanding. If you miss the due date of an assignment or assessment, please contact the instructor immediately through eLearn (email). Late submissions will be allowed at the discretion of the instructor. Procrastination in completing assignments can be detrimental to your success in the course 

Course Ground Rules

The following two statements (1., 2.) were derived from the TBR System-wide Student Rules document, released January 2012:

RULES OF THE TENNESSEE BOARD OF REGENTS STATE UNIVERSITY AND COMMUNITY COLLEGE SYSTEM OF TENNESSEE SYSTEMWIDE STUDENT RULES CHAPTER 0240-02-03 STUDENT CONDUCT AND DISCIPLINARY SANCTIONS

Read the document in its entirety here.

1. Standards of Conduct:

  • Students are required to adhere to the same professional, legal and ethical standards of conduct online as on campus. In addition, students should conform to generally accepted standards of "netiquette" while sending e-mail, posting comments to the discussion board, and while participating in other means of communicating online. Specifically, students should refrain from inappropriate and/or offensive language, comments and actions.

2. Review the TN eCampus Academic Integrity/Academic Honesty Policy:

  • In their academic activities, students are expected to maintain high standards of honesty and integrity. Academic dishonesty is prohibited.

Such conduct includes, but is not limited to:

  • an attempt by one or more students to use unauthorized information in the taking of an exam
  • to submit as one's own work, themes, reports, drawings, laboratory notes, computer programs, or other products prepared by another person,
  • or to knowingly assist another student in obtaining or using unauthorized materials.

Plagiarism, cheating, and other forms of academic dishonesty are prohibited.

Students guilty of academic misconduct, either directly or indirectly through participation or assistance, are subject to disciplinary action through the regular procedures of the student’s home institution.  Refer to the student handbook provided by your home institution to review the student conduct policy.

In addition to other possible disciplinary sanctions that may be imposed, the instructor has the authority to assign an "F" or zero for an activity or to assign an "F" for the course.

Other Course Rules:

Students are expected to:

  • Participate in all aspects of the course
  • Communicate with other students
  • Learn how to navigate in Brightspace
  • Keep abreast of course announcements
  • Use the assigned course management (Brightspace) email address rather than a personal email address
  • Address technical problems immediately:
  • Observe course netiquette at all times.

Guidelines for Communications

Email:

  • Always include a subject line.
  • Remember without facial expressions some comments may be taken the wrong way. Be careful in wording your emails. Use of emoticons might be helpful in some cases.
  • Use standard fonts.
  • Do not send large attachments without permission.
  • Special formatting such as centering, audio messages, tables, html, etc. should be avoided unless necessary to complete an assignment or other communication.
  • Respect the privacy of other class members

Discussions:

  • Review the discussion threads thoroughly before entering the discussion. Be a lurker then a discussant.
  • Try to maintain threads by using the "Reply" button rather starting a new topic.
  • Do not make insulting or inflammatory statements to other members of the discussion group. Be respectful of other’s ideas.
  • Be patient and read the comments of other group members thoroughly before entering your remarks.
  • Be cooperative with group leaders in completing assigned tasks.
  • Be positive and constructive in group discussions.
  • Respond in a thoughtful and timely manner.

Library

The Tennessee Virtual Library is available to all students enrolled in TN eCampus programs and courses. Links to library materials (such as electronic journals, databases, interlibrary loans, digital reserves, dictionaries, encyclopedias, maps, and librarian support) and Internet resources needed by learners to complete online assignments and as background reading will be included within the course modules. To access the Virtual Library, go to the course homepage and select the Virtual Library link under Course Resources.

Students with Disabilities

Qualified students with disabilities will be provided reasonable and necessary academic accommodations if determined eligible by the appropriate disability services staff at their home institution. Prior to granting disability accommodations in this course, the instructor must receive written verification of a student's eligibility for specific accommodations from the disability services staff at the home institution. It is the student's responsibility to initiate contact with their home institution's disability services staff and to follow the established procedures for having the accommodation notice sent to the instructor.

Syllabus Changes

The instructor reserves the right to make changes as necessary to this syllabus. If changes are necessitated during the term of the course, the instructor will immediately notify students of such changes both by individual email communication and posting both notification and nature of change(s) on the course bulletin board.

Disclaimer

The information contained in this syllabus is for general information purposes only. While we endeavor to keep this information up-to-date and accurate, there may be some discrepancies between this syllabus and the one found in your online course. The syllabus of record is the one found in your online course. Please make sure you read the syllabus in your course at the beginning of the semester. Questions regarding course content should be directed to your instructor.


Last Revised on July 27, 2018