Math 107

Students are introduced to: Systems of linear equations, matrices, determinants,
inverse of a matrix, Cramer's rule.
Vectors in two and three dimensions, scalar and vector products, equations of
lines and planes in space, surfaces, cylindrical and spherical coordinates.
Vector valued functions, their limits, continuity, derivatives and integrals.
Motion of a particle in space, tangential and normal components of
acceleration. Functions in two or three variables, their limits, continuity,
partial derivatives, differentials, chain rule, directional derivatives, tangent
planes and normal lines to surfaces. Extrema of functions of several variables,
Lagrange multipliers