Sections: Chapters 1 and 2, and sections 4.1, 4.2, 4.3
Material: see the homework assignments

One handwritten page of notes is allowed.

Important topics:
-- dot product and length
-- parallel vectors, perpendicular vectors, angles between vectors
-- unit vectors and projections
-- parametric equation of a line
-- parametric equation of a plane
-- equation of a plane perpendicular to a given vector, standard and normalized equations of a plane
-- distance from point to a plane
-- cross product
-- area of a paralelograms and triangles, volume of a parallelepiped
-- equation of a plane paralell to given vectors
-- equation of a plane through three points
-- solving a system by elimination and by matrix methods
-- reduced matrices
-- homogenious sytem
-- general and particular solutions
-- matrix multiplcation
-- inverse of a matrix and how to find it
-- determinant and how to find it
-- derivatives, velocity and acceleration
-- arc length
-- intergration of vectors
-- level curves and surfaces
-- partial derivatives
-- mixed and higher order partial derivatives