Kinematics, dynamics, energy, momentum, angular momentum, heat, and kinetic theory.
First order equations, second and nth order linear equations, series solutions, solution by Laplace transform, systems of linear differential equations.
Probability of events, discrete and continuous random variables, multiple random variables, sums of random variables, uniform, Gaussian, exponential, geometric distributions and related random variables, introduction to parameter estimation and hypothesis testing.
Planes, lines, and curves in three dimensions, differential calculus of several variables, multiple integrals, introduction to vector calculus.
Introduction to differential and integral calculus of one variable, with applications, conic sections.
Fundamental interactions between atoms to describe Newtonian mechanics, conservation laws, energy quantization, entropy, the kinetic theory of gases, and related topics in mechanics and thermodynamics, physical phenomena extending from nuclei to galaxies. 3-D graphical simulations and numerical problem solving by computer.