DIARY
19.4.: line integrals of vector fields; Green's theorem
13.4.: chain rule for vector fields; the nablaoperator (curl, div, grad); line integrals of scalar fields
12.4.: continuity and differentiability of vector fields
6.4.: applications of changes of variables formula; CauchyPoisson integral
30.3.: change of variables in multiple integrals
23.3.: classification of stationary points; double integrals
22.3.: level surfaces; (local) maxima/minima/extrema; stationary points
16.3.: gradient & derivative; Clairaut's theorem; level curves & surfaces
15.3.: differentiable scalar fields; directional and partial derivatives; gradient
9.3.: velocity, speed and acceleration in polar coordinates; scalar fields, their graphs and continuity
8.3.: binormal and torsion; polar coordinates
2.3.: velocity, speed and acceleration; unit tangent vector, principal unit normal and curvature
1.3.: arc length
23.2.: continuity and differentiability of vector functions
16.2.: linear functions & matrices; affine functions
15.2.: distance pointplane; linear functions
9.2.: planes and hyperplanes
8.2.: scalar triple product; lines
2.2.: projections; angles; cross product
1.2.: distance; spheres and (open/closed) balls; perpendicular vectors
26.1.: vectors; standard basis vectors; scalar product; norm
25.1.: introduction & overview; the Euclidean space ℝ^{n}
