This course develops the geometrical ideas of two and three dimensional calculus. It is good preparation for advanced engineering and physics courses, Classical Mechanics, Statics, Dynamics and Vibrations, Electromagnetics and Wave Propagation, Fluid Flow and Elasticity.
Vector Algebra; Scalar and Vector Products; vector identities; lines, planes and vector geometry. Vector functions; diferentiation; space curves, velocity, acceleration; curvature and torsion. Scalar and Vector Fields; gradients and level lines; flow lines; divergence and flux; curl and circulation; Laplacian and tension. Orthogonal curvilinear coordinates. Line, surface and volume integrals. The theorems of Gauss and Stokes. Orthogonal matrices and rotations in 3 dimensions. Vector equations of Classical Mechanics.
Unless announced otherwise, there will be a 15' quiz every Thursday, with the first graded quiz being on Thursday, Jan. 30, 2003.
Return to: Department of Mathematics and Statistics, University of New Mexico.
<vageli@math.unm.edu>
Last updated: September 15, 1997