Calculus review; Cartesian coordinates; distance; spheres. Notes (filled)
Cylindrical and spherical coordinates. Notes (filled)
Vectors; magnitude; unit vectors; midpoint. Notes (filled)
Dot product; angle between vectors; projection; work. Notes (filled)
Cross product; areas; volume. Notes (filled)
Lines; planes; normal vectors; distances. Notes (filled)
Quadric surfaces. Notes (filled)
Parametric curves; motion; derivatives of vector valued functions; tangent lines. Notes (filled)
Integrals of vector functions. Notes (filled)
Arc length; cumulative arc length. Notes (filled)
Decomposing motion; unit tangent; unit normal; unit binormal; osculating plane. Notes (filled)
Curvature. Notes (filled)
Review for Exam 1. Problems (solutions)
Q&A for Exam 1. Notes
Functions of several variables; level curves; level surfaces; contour diagrams. Notes (filled)
Limits; continuity. Notes (filled)
Partial derivatives; higher order partial derivatives. Notes (filled)
Differentiability; tangent plane; chain rule; implicit differentiation. Notes (filled)
Gradient; directional derivative. Notes (filled)
Tangent planes; properties of gradient; linear approximation. Notes (filled)
Taylor polynomials for multi-variable functions. Notes (filled)
Optimization; critical points; classification with second partials test. Notes (filled)
Optimization for a closed and bounded region. Notes (filled)
Optimization using method of Lagrange multipliers. Notes (filled)
Review for Exam 2. Problems (solutions)
Q&A for Exam 2. Notes
Multivariable integration; iterated integrals over rectangles and regions. Notes (filled)
Changing order of integration. Notes (filled)
Integration in polar coordinates. Notes (filled)
Triple integration in Cartesian coordinates; changing order of integration. Notes (filled)
Geometrical applications of multivariable integration. Notes (filled)
Physics applications of multivariable integration. Notes (filled)
Integration in cylindrical and spherical. Notes (filled)
Jacobian; substitution in multiple integrals. Notes (filled)
Vector fields; curl; divergence. Notes (filled)
Line integrals; work. Notes (filled)
Line integrals of conservative functions. Notes (filled)
Green's Theorem. Notes (filled)
Surface integrals. Notes (filled)
Review for Exam 3. Problems (solutions)
Q&A for Exam 3. Notes
Stokes' Theorem. Notes (filled)
Gauss's Divergence Theorem. Notes (filled)
Practice recognizing Stokes and Divergence. Notes (filled)
Review for Final Exam. Problems (solutions)
Final unboxing