Topics: Chemical Engineering Processes, Material Balance, Energy Balance, temperature measurement, temperature conversion, dimensional homogeneity, dimensionless quantities, process flow sheet, process unit, process streams, mass flow rates, volumetric rates, moles, molecular weight, stream composition, mass fraction, mole fraction, concentration, pressure measurement, pressure-sensing devices, process units, degrees of freedom analysis, process flow diagram, multiunit process flow diagram, mass balance, Stoichiometric Equation, Stoichiometric Coefficients, Stoichiometric Ratio, Limiting Reactant, Excess Reactants, Combustion Reactions, Chemical Equilibrium, Multiple-Unit Process Flowcharts, Single-Phase Systems, Multiphase Systems, Ideal Gas Equation of State, liquid density, solid density, gas density, Real Gas Relationships, Compressibility Factor, Virial Equation of State, van der Waals Equation of State, Soave–Redlich–Kwong Equation of State, Kay’s Mixing Rules, phase diagram, Vapor–Liquid Equilibrium Curve, Vapor Pressure Estimation, Clapeyron Equation, Clausius–Clapeyron Equation, Cox Chart, Antoine Equation, Partial Pressure, Dalton’s Law of Partial Pressures, Gibbs’ Phase Rule, Bubble Point, Dew Point, Critical Point, Kinetic Energy, Potential Energy, energy balance, steam turbine, heaters, coolers, compressors, Mechanical Energy Balance, Enthalpy Calculations, Constant Heat Capacity, Psychrometric Chart, Heat of Reaction, Heats of Formation, Heat of Combustion, Heat of Reaction Method, Unsteady-State Material Balance, Unsteady-State Energy Balance

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations

Topics: Atomic Structure, Atomic Bonding, Crystal structure, Amorphous Structure, Solidification, Crystalline Imperfections, Engineering Alloys, Phase Diagrams, Polymeric Materials, ceramics, Composite Materials, corrosion, light, superconductive materials, magnetic properties, biological materials, biomaterials, smart materials, bond, cubic unit cell, diffusion, alloy, metal, stress, strain, Poisson ratio, plastic deformation, gibbs phase rule, cooling curves, copper, iron, steel, cast iron, aluminum, magnesium, titanium, nickel, thermoplastic, thermost, elastomer, rubber, glass, concrete, asphalt, wood, sandwich structures, corrosion rates, metal-matrix, ceramic-matrix, galvanic cells, microelectronics, nanoelectronics, semiconductors, light, electromagnetic spectrum, laser, luminescence, optical fibers, superconducting materials, ferromagnetic, magnetic field, ferromagnetism, tendon, ligament, articular cartilage

Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function

Topics: Tensile stress, Compressive test, Strain, deformation, force, load, shearing forces, bending moments, beam, bending stress, flexural stress, colums, torsion, Strength of materials

Topics: shearing forces, bending moments, torsion, stress, beams

Topics: Advanced Energy Systems, Energy resource, energy system development, energy process characterization, energy calculations, energy accounting, sustainable energy development, Dynamic Mechanical Spectroscopy, nano-scale material, micro-scale material, nanoindentation, optical microscopy, electron microscopy, atom probe tomography, advanced x-ray characterization, neutron scattering, phase transformation temperatures, density, specific gravity, thermal conductivity, thermal expansion, electrical conductivity, electrical resistivity, permittivity, permeability, corrosion, oxidation, toughness, materials design, materials modeling, advanced coatings, photovoltaic materials, hybrid solar cells, thermal storage materials, phase change materials, Geothermal electricity, geothermal heat pump, wind resources, wind machinery, energy-generating systems, wind turbine, hydropower technology, ocean energy, hydrogen generation technology, fuel cells, advanced nuclear energy, fission reactors, fusion reactors, thermoelectric materials, piezoelectric materials, pyroelectric materials, magnetostrictive materials, multiferroic magnetoelectric materials, triboelectric materials, artificial photosynthesis

Topics: differential equations, separable equations, exact equation, Inexact Differential Equations, Homogeneous Differential Equations, Bernoulli’s Differential Equations, Laplace transform, partial differential equations, Elliptic Differential Equation, Parabolic Differential Equation, Hyperbolic Differential Equation