Four * examples * of topics covered in Math 321, from left to right,

- What are
*latitude, longitude*and*altitude*? Azimuth and elevation? What are spherical coordinates? How on earth was this picture generated? - Changing your
*attitude*: Orthogonal transformations, Rotations of a rigid body, Euler angles, yaw, pitch and roll - You know the equation of a sphere, but what's the
*equation of a skull?!*Surfaces, modeling, analysis and graphics - Complex functions, here the square root of a complex number z
^{1/2}plotted in Matlab using`cplxroot(2)`

Math 321 has been redesigned to lift students to the mathematical level needed to truly understand * Newtonian mechanics of particles and rigid bodies, Electro-Magnetism, transport phenomena, fluid and solid mechanics, aerodynamics, satellite dynamics, polymer dynamics, computer graphics, etc.* The course emphasizes geometric visualization and understanding and does include a certain level of `proofs'. Understanding mathematical concepts requires an ability to observe, analyze and deduce.

Math 321 is required for AMEP

** Quick Outline ** ** (Detailed Outline) **

- Vector, Matrix (and Tensor) Algebra (in 3D Euclidean space)
- Vector Calculus
- Complex Calculus