1. Kinematics, conservation equations, and boundary conditions for incompressible flow
2. Unidirectional flow
3. Hydraulic circuit analysis
4. Passive scalar transport: dispersion, patterning, and mixing
5. Electrostatics and electrodynamics
6. Electroosmosis
7. Potential fluid flow
8. Stikes flow
9. The diffuse structure of the electrical double layer
10. Zeta potential in microchannels
11. Species and charge transport
12. Microchip chemical separations
13. Particle electrophoresis
14. DNA transport and analysis
15. Nanofluidics: fluid and current flow in molecular-scale and thick-double-layer systems
16. AC electrokinetics and the dynamics of diffuse charge
17. Particle and droplet actuation: dielectrophoresis, magnetophoresis, and digital microfluidics
A. Units and fundamental constants
B. Properties of electrolyte solutions
C. Coordinate systems and vector calculus
D. Governing equation reference
E. Nondimensionalization and characteristic parameters
F. Multipolar solutions to the Laplace and Stokes equations
G. Complex functions
H. Interaction potentials: atomistic modeling of solvents and solutes.
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