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MTH/380

General Education

CALCULUS III

Online

Format

$1,194

Estimated Tuition

credits

Total credits

weeks

Course length

Start when you're ready

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Take this course on its own, or as part of a degree or certificate program.

Please Note: Attendance and participation are mandatory in all University courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy in the Catalog for more information.

University of Phoenix reserves the right to modify courses. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative.

Course level: Undergraduate

This course builds on the concepts of presented in MTH/310 Calculus I and MTH/320 Calculus II. Students examine functions of more than one variable, curves in space, and Newtonian mechanics in three dimensions. Students explore partial derivatives and differentials as well as local and global extrema. In addition, students use differentiation techniques for functions of many variables.

Prerequisites

Required materials

The materials required for this course are covered in your resource fees.

Please Note: Attendance and participation are mandatory in all University courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy in the Catalog for more information.

University of Phoenix reserves the right to modify courses. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative.

What you'll learn

Course skills and outcomes

  • Solve basic differential equations.
  • Approximate first-order equations numerically using slope fields and Euler's method.
  • Model real-life situations using differential equations.
  • Use graphical methods to solve autonomous equations.
  • Use phase-plane analysis to solve systems of differential equations.

  • Identify key features of the graphs of parametric equations.
  • Calculate geometric values of parametric curves.
  • Use the polar coordinate system.
  • Graph curves using polar coordinates.
  • Compute areas and lengths in polar coordinates.
  • Identify the equations of conic sections.
  • Apply the polar coordinate system to conic sections.

  • Solve equations in three dimensions.
  • Describe physical properties using vectors.
  • Perform dot products and cross products.
  • Evaluate planes in space.
  • Evaluate quadric surfaces.

  • Evaluate functions of multiple variables.
  • Determine continuity of functions.
  • Determine partial derivatives of functions.
  • Use the Chain Rule for derivatives.
  • Compute gradient vectors from directional derivatives.
  • Find relative and absolute extrema for functions of two variables.

  • Solve basic second order differential equations with initial values or boundary conditions.
  • Use variation of parameters to solve nonhomogeneous equations.
  • Solve applied harmonic oscillation problems with second order differential equations.
  • Find general solutions to Euler equations.
  • Use the power series method to solve second order homogeneous differential equations.

Why UOPX

Why take courses at University of Phoenix

Accreditation that matters

We’ve been accredited by the Higher Learning Commission (hlcommission.org) for more than 40 years.

Real-world instructors

Learn from instructors who bring an average of 25 years of working experience to the classroom.

Affordable and potentially reimbursable

Our tuition and fees are competitive and fixed. Also, check to see if your employer will cover you for this course.

Next Steps

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Transfer Credits

Credit Transfer

Need to transfer credits to another college or university?

Before you enroll in a course, check with your school of choice to make sure they will accept our transfer credits and to understand any requirements or limitations. Then you can complete your course, and request your official transcript be sent to your school. That’s it!

Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice. If you have a question contact us at (866) 354-1800.

The University of Phoenix reserves the right to modify courses. Although our continuing teacher education courses are accepted by some state agencies in the United States toward teacher certifications and endorsements, this may not be the case in all states or foreign jurisdictions. If you plan to use courses for certification or endorsement, please check with your own state agency and your school district for applicability. Continuing teacher education courses are not eligible to apply to degree programs at University of Phoenix. These courses are not eligible for federal financial aid. Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice. While widely available, not all programs are available to residents of all states. Please check with a University Enrollment Representative. If you have a question contact us at (866) 354-1800.