Materials (Fall 2024)
Materials (Fall 2024)
The following are the materials that were generated for the Fall 2024 class given by Steve Butler.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
The following are the materials that were generated for the Fall 2024 class given by Steve Butler.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
Cartesian coordinates; distance (handout; scanned notes; Vimeo; YouTube)
Cylindrical and spherical coordinates (handout; scanned notes; Vimeo; YouTube)
Vectors; unit vectors; midpoint (handout; scanned notes; Vimeo; YouTube)
Lines; planes; normals (handout; scanned notes; Vimeo; YouTube)
Quadric surfaces (handout; scanned notes; Vimeo; YouTube)
Parametric curves; tangent lines (handout; scanned notes; Vimeo; YouTube)
Integrals of vector functions (handout; scanned notes; Vimeo; YouTube)
Arc length; cumulative arc length (handout; scanned notes; Vimeo; YouTube)
Decomposing motion; curvature (handout; scanned notes; Vimeo; YouTube)
Partial derivatives (handout; scanned notes; Vimeo; YouTube)
Differentiability; chain rule (handout; scanned notes; Vimeo; YouTube)
Gradient; directional derivative (handout; scanned noted; Vimeo; YouTube)
Tangent planes; approximation (handout; scanned notes; Vimeo; YouTube)
Taylor polynomials (handout; scanned notes; Vimeo; YouTube)
Optimization; second partials test (handout; scanned notes; Vimeo; YouTube)
Optimization; closed/bounded set (handout; scanned notes; Vimeo; YouTube)
Optimization; Lagrange multipliers (handout; scanned notes; Vimeo; YouTube)
Integration; iterated (handout; scanned notes; Vimeo; YouTube)
Integration in polar coordinates (handout; scanned notes; Vimeo; YouTube)
Triple integrals (handout; scanned notes; Vimeo; YouTube)
Applications of integration (geometry & physics) (handout; scanned notes; Vimeo; YouTube)
Integration in cylindrical/spherical (handout; scanned notes; Vimeo; YouTube)
Integration in cylindrical/spherical; Jacobians (handout; scanned notes; Vimeo; YouTube)
Jacobians; change of variables (handout; scanned notes; Vimeo; YouTube)
Vector fields; curl; div (handout; scanned notes; Vimeo; YouTube)
Line integrals; work (handout; scanned notes; Vimeo; YouTube)
Conservative line integrals (handout; scanned notes; Vimeo; YouTube)
Green's Theorem (handout; scanned notes; Vimeo; YouTube)
Green's Theorem; Surface area; Surface integrals (handout; scanned notes; Vimeo; YouTube)
Surface integrals (handout; scanned notes; Vimeo; YouTube)
Stokes' & Divergence Theorem (handout; scanned notes; Vimeo; YouTube)
Divergence Theorem (handout; scanned notes; Vimeo; YouTube)
Course review (three-page; Vimeo; YouTube)