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MATH200 - Analytic Geometry

Course Details

Course Code: MATH200 Course ID: 4078 Credit Hours: 3 Level: Undergraduate

This course introduces students to the concepts of analytic geometry. Some of the most important applications in physical sciences will be presented; however, emphasis is on the fundamentals of analytic geometry as a foundation for the study of calculus. Students may use this course for higher level prerequisite mathematics requirements. Topics include: plane analytic geometry; vectors in the plane; equations of lines, circles, and conic sections; transformation of coordinates; curve sketching of polynomial and rational functions; polar coordinates; parametric equations; and three dimensional vectors. (Prerequisite: MATH111 or equivalent)


Course Schedule

Registration Dates Course Dates Session Weeks
05/21/21 - 10/29/21 11/01/21 - 12/26/21 Fall 2021 Session I 8 Week session
06/28/21 - 12/03/21 12/06/21 - 01/30/22 Fall 2021 Session D 8 Week session
07/27/21 - 12/31/21 01/03/22 - 02/27/22 Winter 2022 Session B 8 Week session
08/31/21 - 02/04/22 02/07/22 - 04/03/22 Winter 2022 Session I 8 Week session
09/28/21 - 03/04/22 03/07/22 - 05/01/22 Winter 2022 Session D 8 Week session
10/26/21 - 04/01/22 04/04/22 - 05/29/22 Spring 2022 Session B 8 Week session

Current Syllabi

After completing the course, the student should be able to accomplish these Course Objectives (CO):

  • CO - 1. Use the Graphing Calculator to solve analytic geometry problems
  • CO - 2. Apply the basic concepts of analytic geometry as a foundation for the study of calculus.
  • CO - 3. Solve problems using plane geometry and vectors in a plane.
  • CO - 4. Solve problems associated with lines, circles, and conic sections.
  • CO - 5. Apply techniques of transformation of coordinates and curve sketching to practical problems
  • CO - 6. Apply the concepts of polar coordinates, parametric equations, and three dimensional vectors to practical applications and calculus.

Course grading will be based on Forums participation (includes discussion questions, weekly summaries, and other activities), four graded quizzes, and a final examination.


Introduction Forum: Students are requested to introduce themselves to the instructor and to the rest of the class in the Introduction Forum. This forum will be worth 10 points and will represent a bonus of 1% of 100% the course grade. This forum also validates that a student is enrolled in the class. This assignment must be completed no later than 11:59 pm on Sunday of Week 1. Students not submitting an initial response to this forum may be automatically withdrawn from the course. Students automatically withdrawn from the course should immediately contact their Academic Adviser for assistance on reinstatement in the class. In addition to an initial response, students must respond substantially to a minimum of two of their classmates posting. The initial posting will be worth 6 points and the responses to a minimum of two classmates will be worth 4 points (2 points for each of the two required responses) for a total of 10 points.

Discussion Forum Questions: There will be discussion questions established each week. Student initial responses are due 11:59 pm, Thursdays of each week. Responses to a minimum of two classmates postings are due 11:59 pm, on Sundays of the week assigned. Assigned point value is 10 points for each forum. A maximum of 6 points will be allotted for initial responses and 2 points for responses to fellow students. Maximum assessment for each week is 2.5 percentage points of the course grade for a total of 20 out of 100 points. Each student is required to participate in the discussion question forum; initial responses will not be accepted or be given credit after the due date. Participation (submission of response) outside of any particular week will not be given credit. There are no exceptions to this policy. Additionally, students will not be able to pre-post forum discussion questions. These forums are “Moderated” students will not be able to see other student’s postings until after the due date.

Other instructor directed activities: The weekly discussion forum will be used for other directed activities. The instructor will post additional activities and they will be noted in the Weekly Announcement. The Discussion Forum is a tool for the students to use to communicate their questions and comments. Please make full use of the Discussion forum by asking questions or making comments on the materials covered during any particular week. Do not ask for assistance on particular quiz or exam questions unless it is for clarification. Instead, find a similar problem in the text and ask detailed questions on that problem. Operating in this manner will not cause any student to gain an unfair advantage. However, once everyone has completed the quiz and the feedback is provided to all, questions can then be asked.

Quizzes: The four graded Quiz assignments are dispersed throughout the course (see course schedule). They are worth 15 points each. The Quizzes are posted in theTests and Quizzes Tab on the left of the screen. Students must complete Quizzes by due date. Students should contact instructor if there is any conflict associated with completion of quizzes by due date. Students may use textbook and notes in completing the quizzes, but no help from anyone else.

Final Exam: The Final Exam will be taken during the last week of the semester. It will be a three hour online exam administered in theTests and Quizzes Tab on the left of the screen. The Final Exam will be worth 20 percentage points toward student’s final course grade. The final exam will cover all materials in the course. Students will have 3 hours to complete the 30 question exam. (Students should make sure that adequate time is allocated to take the exam). The final exam will not be a proctored exam. Students may use the textbook and notes in completing the final exam, but no help from anyone.

Students’ final grades will be posted as soon as the instructor receives and evaluates the Final Exam. Official grades will continue to be issued by the University on the grade report form. Professors have 7 days from the end of the semester to submit their grades to the University.

The points earned on the graded course assignments will determine the course grade. The final grade in the course will be based on total points. Grades will be assigned based on the following composite scores:

NameGrade %
Honor Code and Pledge 0.00 %
APUS Honor Code and Pledge 0.00 %
Weekly Forums 20.00 %
Week 1 Forum 2.50 %
Week 2 Forum 2.50 %
Week 3 Forum 2.50 %
Week 4 Forum 2.50 %
Week 5 Forum 2.50 %
Week 6 Forum 2.50 %
Week 7 Forum 2.50 %
Week 8 Forum 2.50 %
Quizzes 60.00 %
Quiz 3 15.00 %
Quiz 4 15.00 %
Quiz 1 15.00 %
Quiz 2 15.00 %
Final Exam 20.00 %
Final Exam 20.00 %

Additional Resources: Students will need a graphing calculator to successfully complete this course. The preferred graphing calculator is Microsoft Mathematics 4.0. It is a free graphing calculator provided by Microsoft. Students may download the software by clicking on the following link; Microsoft Mathematics Concepts using Microsoft Excel will also be explained. Students may make use of the above for all graded assignments during the course.

Tutorials: Additional online help is available through the University. Please go to the web page at to view mathematics tutorials. These tutorials include 4-6 minute vignettes on some of the course topics and are focused on the weekly learning objectives for Calculus I. Students may access these videos from the links in the Course Outline above by clicking on Ctrl+Click on the link.

Web Sites

In addition to the required course texts, the following public domain web sites are useful. Please abide by the university’s academic honesty policy when using Internet sources as well. Note web site addresses are subject to change.

Site Name

Web Site URL/Address

Microsoft Mathematics

Microsoft Mathematics

Graphing Calculator (Alternative for Mac Users)

Teacher Tube

Dr. Math

Purple Math

Khan Academy

Just Math Tutorials


Desmos Graphing Calculator (Another Alternative)
Book Title:Various resources from the APUS Library & the Open Web are used. Please visit to locate the course eReserve.*

Previous Syllabi

Not current for future courses.