We have the following certificate programs under General Science:
Must already have a SPC.
GSCI 15
Suggested Electives: ARCH 1 Introduction to Archaeology, ASTR 1 Introduction to Astronomy, ATMS 1 Introduction to Atmospheric Science, BIMS 1 Introduction to Biomedical Science, BOT 1 Introduction to Botany, CMB 1 Introduction to Cell and Molecular Biology, CHEM 1 Chemistry, CS 1 Introduction to Computer Science, ECT 1 Introduction to Electronics, ESCI 1 Introduction to Engineering Science, ENVS 1 Introduction to Environmental Science, FRS 1 Introduction to Forensic Science, GEO 1 Introduction to Geology, HYDR 1 Introduction to Hydrology, MATH 1 Mathematics, MATH 2 Methods of Mathematics, MATS 1 Introduction to Materials Science, MICR 1 Introduction to Microbiology, MILS 1 Introduction to Military Science, OCN 1 Introduction to Oceanography, PHYS 1 Physics, ZOO 1 Introduction to Zoology.
Infinite series, power series, complex numbers, complex series, hyperbolic functions, complex logarithms and powers, systems of linear equations, matrix operations, determinants, and Cramer's rule.
Vector spaces, linear operators, special matrices, partial derivatives, implicit and inverse function theorems, extrema of functions, differentiation of integrals, multiple integrals, change of variables and the Jacobian, and vector integration.
Fourier series, complex Fourier series, first-order differential equations, higher-order differential equations with constant coefficients, variable coefficients, the calculus of variations, linear transformations and orthogonal transformations, eigenvalue and eigenvectors, curvilinear coordinates, and tensors.
Tensor analysis, series solutions of differential equations, gamma function, asymptotic series, Legendre polynomials, Bessel functions, sets of orthogonal functions, partial differential equations, the wave equation, and diffusion.
Analytic functions, complex integration, Laurent series, the residue theorem, evaluation of integrals, mappings, conformal mappings, the Laplace transform, Fourier transforms, and the Dirac delta.
Probability, counting methods, probability distributions and densities, special distributions, sampling and frequency analysis, error analysis, measures of central tendency, measures of dispersion, tests of hypotheses, and curve fitting.
Physical problem-solving, forces, solving Newton's equations of motion, potential energy, the conservation of energy, the theory of gravity, conservation of momentum, special relativity, relativistic dynamics, and spacetime.
Systems of particles, center of mass and moment of inertia, rotation in space, gyrodynamics, the harmonic oscillator, damped oscillations, resonance, transients, linear systems, and nonlinear systems.
The principle of least time, geometrical optics, optical instruments, electromagnetic radiation, interference, diffraction, the refractive index, radiation damping and light scattering, polarization, and relativistic effects in radiation.
An introduction to quantum physics, wave-particle duality, the kinetic theory of gases, classical statistical mechanics, Brownian motion, applications of statistical mechanics, diffusion, the laws of thermodynamics, applications of thermodynamics, and reversibility and entropy.
Electrostatics, application of the divergence theorem, the electric field, analytical methods, electrostatic energy, atmospheric electricity, dielectrics, equations similar to those in electrostatics, magnetostatics, and the magnetic field.
The vector potential, electromagnetic induction, Maxwell's equations, electromagnetic waves, currents and charges, DC circuits, AC circuits, cavity resonators, and waveguides.
Electrodynamics in relativistic notation, the Lorentz transformation of the fields, field energy and momentum, electromagnetic mass, the motion of charges in fields, the structure of crystals, the refractive index, reflection, and magnetism.
Paramagnetism, ferromagnetism, magnetic materials, elasticity, elastic materials, fluid flow, viscosity, a review of quantum principles, probability amplitudes, and identical particles.
Bose states, Fermi states, time-dependence of amplitudes, the Hamiltonian, two-state systems, the independant particle approximation, position-dependence of amplitudes, symmetry and conservation laws, angular momentum, and quantum operators.
The need for good scientific record keeping, the scientific notebook, the experimental notebook, keeping a master log for large projects, the methodology notebook, the field notebook system, photography and electronic imaging, electronic record keeping, cataloging records, and data storage.
Programming for data acquisition and instrument control, graphic user interfaces, sensor electronics, sensors and transducers, analog-digital converters and digital-analog converters, data acquisition, signal processing, instrument control, instrument drivers, and instrument system design.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
This project is under development.
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