everything.study
BIT 2010

Differential Equations & Multivariate Calculus

0.5 credit · Undergraduate

Curves and surfaces. Polar, cylindrical and spherical coordinates. Partial derivatives, gradients, extrema and Lagrange multipliers. Exact differentials. Multiple integrals over rectangular and general regions. Integrals over surfaces. Line integrals. Vector differential operators. Green’s Theorem, Stokes’ theorem, Divergence Theorem. Applications.

2010

Topics

  • Parametric equations
  • Parametric equations. Polar coordinates
  • Calculus of parametric equations
  • Vectors in 2D, 3D space
  • Arc length. Functions of serveral variables
  • Extrema. Lagrange multipliers
  • Line integrals. Conservative Fields
  • Dec 2 - The Curl Theorem
  • The Divergence Theorem

Readings

  • ::::::::::::: CALCULUS, VOLUME 3, by Gilbert Strang and Edwin Herman (OPENSTAX, 2016).

Prerequisites & course information

Precludes additional credit for MATH 2004 . Prerequisite(s): BIT 1200 . Lectures three hours a week, tutorial one hour a week.

Sources