Skip Navigation
 
 

MATH227 - Calculus III

Course Details

Course Code: MATH227 Course ID: 4081 Credit Hours: 3 Level: Undergraduate

This is the third course of a three part Calculus sequence. It is designed to extend the concepts learned in Calculus II to sequences and series (convergence tests, Taylor and MacLaurin Series, Power Series) , differential equations (separable, homogeneous, growth and decay), parametric and polar equations (including slope and area), and vector Calculus (dot product, cross product, equations of lines and planes, vector functions, derivatives, velocity and acceleration). (Prerequisite: MATH226)





Prerequisites

Course Schedule

Registration Dates Course Dates Session Weeks
11/26/18 - 05/03/19 05/06/19 - 08/25/19 Spring 2019 Session K 16 Week session
01/28/19 - 06/28/19 07/01/19 - 10/20/19 Summer 2019 Session A 16 Week session
03/25/19 - 08/30/19 09/02/19 - 12/22/19 Summer 2019 Session C 16 Week session

Current Syllabi

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

  • CO-1. Use series to solve problems.
  • CO-2. Prove convergence or divergence of series.
  • CO-3. Approximate functions with an appropriate Taylor Polynomial.
  • CO-4. Solve elementary differential equations.
  • CO-5. Solve growth and decay problems using differential equations.
  • CO-6. Use parametric equations to find arc length.
  • CO-7. Use polar equations to find slopes and areas.
  • CO-8. Analyze uses of dot and cross products.
  • CO-9. Find derivatives, velocity and acceleration of vector functions.

Additional Resources: You will need a calculator to successfully complete this course. The calculator should include a memory and special functions keys. At your discretion, you may use a scientific or graphing calculator or the calculator on your computer that is capable of performing these functions. There are graphing aides available and they will be mentioned again within the classroom. You may use these for all graded assignments and examinations during the course.

Tutorials: Additional online help is available through the University. Please go to the web page at http://www.apus.edu/media/mathWV/index.htm to view the tutorials for this class. These tutorials include 4-6 minute vignettes on 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 Cntrl+Click on the link.

Websites: In addition to the required course texts the following domain Websites are useful. Please abide by the university’s academic policy when using Internet sources as well. Note Web site addresses are subject to change.

Site Name Website URL/Address
Thinkwell http://www.thinkwell.com/loginAndRegister/login.cfm
Book Title:Thinkwell Calculus Online Materials - Thinkwell will send a user name and password to your primary email address on the first day of class. Instructions provided inside the classroom.
ISBN:THINKWELL-CALC
Publication Info:Thinkwell
Unit Cost:$67.50
Electronic Unit Cost:$35.00

Previous Syllabi

Not current for future courses.