Jan 18, 2022  
2020-2021 Catalog 
    
2020-2021 Catalog [ARCHIVED CATALOG]

Add to Portfolio (opens a new window)

MATH& 264 - Calculus 4


5 credits

Prerequisites
A grade of “C” or better in MATH& 163 . MATH& 264 is the fourth course of the standard calculus sequence.

Content includes: infinite sequences and series (builds on coverage in MATH& 152 ); cylindrical and spherical coordinates; the general chain rule for functions of several variables; triple integrals in rectangular, cylindrical and sphericle coordinates; vector fields; line integrals; surface integrals; Green’s theorem; Stokes’ theorem; and the Divergence Theorem. Applications are taken from the natural sciences and engineering.

Theory Hours
5 theory hours.

AA Specified Elective
Satisfies science distribution area F requirement or specified elective for the AA degree.

Course Outcomes
  • Use the chain rule to compute derivatives and verify formulas
  • Compute definite triple integrals in rectangular, cylindrical and spherical coordinates
  • Convert between rectangular, cylindrical and spherical coordinates when computing triple integrals
  • Use double and triple integrals to compute center of mass, and moments of inertia
  • Compute potential functions for conservative fields
  • Determine whether a field is conservative or not
  • Compute scalar and vector line integrals
  • Calculate Work and Flux across a curve using line integrals
  • Use the Fundamental Theorem for Conservative Vector Fields appropriately to solve problems
  • Compute surface areas using integration
  • Compute surface integrals of real functions
  • Compute surface integrals of vector fields
  • Apply surface integrals to basic fluid mechanics and electric and magnetic fields
  • Use Green’s theorem to evaluate line integrals and areas
  • Use Green’s theorem to compute the circulation of a vector field
  • Use Stokes’ theorem to compute the flux of a vector field through a surface
  • Use Stokes’ theorem to compute the circulation of a vector field around the boundary of a surface
  • Compute the divergence of a field
  • Use the divergence theorem to compute the flux of a vector field through a surface
  • Use the divergence theorem to solve basic problems in electrostatics




Add to Portfolio (opens a new window)