- basic properties of sin,
cos, tan, ...
- relationship between degrees and radians (180deg = pi
- geometrical interpretation (e.g., cosine =
- relationships: sin2 +
= sin(a)/cos(a), etc.
- basic properties of exponentials, e0 = 1, e1 ~ 2.71818, etc.
- sketch exponential decay curve, exponential charging curve
- graphically identify time constant, 1/e ~ 37%
- identify time constant from equation
- properties of logs, log(0) = -infinity, log(1) = 0, ln(e)
= 1, etc.
- choice of base-10, base-2, natural log, etc.
- convert from one base to another
- semilog, loglog plots
- differential equations as models
- temporal derivatives as rate-of-change
- ability to integrate simple cases by hand
- numerical integration, Euler's method
- initial value specification (where to start)
- steady-state solutions
- Kirchoff's current law (current conseration at nodes)
- Kirchoff's voltage law (sum of voltage drops around a loop
- Ohm's law: V = I R
- Conductance is inverse resistance g = 1/R; Ohm's law: I = gV
- Capacitance: q = CV
- Capacitive current: I =
= C dV/dt
- RC circuit, RC time constant
of Resistive Circuits