mth420 | undergraduate
topic title goes here
Integration in Vector Fields
- Describe the fundamental theorem uniting Green's, Divergence, and Stokes' theorems.
- Evaluate vector fields using line integrals.
- Apply Green’s Theorem.
- Evaluate shapes using surface integrals.
- Determine the flux of a vector field across a closed curve.
- Use Stokes’ Theorem to evaluate functions and test for conservative fields.
Taylor and Maclaurin Series
- Apply different methods to evaluate series for convergence or divergence.
- Generate terms in Taylor and Maclaurin series.
- Evaluate functions and integrals using power series.
- Evaluate sequences for convergence or divergence.
- Graph vector functions.
- Integrate vector functions to describe projectile motion.
- Determine limits, continuity, smoothness, curvature, and arc length for vector functions.
- Find tangent, normal, and binomial vectors (Frenet or TNB frame) for a given function.
- Describe motion along a curve using rectilinear and polar coordinates.
Examine velocity and acceleration using Kepler's laws of planetary motion.
- Evaluate iterated integrals.
- Perform double integration after reversing the order of integration (Fubini's theorem).
- Perform double integrals over general regions.
- Determine limits of integration for intersecting curves.
- Model surface area using polar coordinates.
- Calculate the volume of a solid using triple integrals.
Determine moments and center of mass for solid objects.
- Use integration to model physical properties, such as inertia.
- Perform triple integrals using cylindrical and spherical coordinates.
- Use the Jacobian to facilitate integral substitutions.
Please ask about these special rates:
Teacher Rate: For some courses, special tuition rates are available for current, certified P-12 teachers and administrators. Please speak with an Enrollment Representative today for more details.
Military Rate: For some courses, special tuition rates are available for active duty military members and their spouses. Please speak with an Enrollment Representative today for more details.
The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Representative.
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.