transisent
Transient analysis: Computation of voltages and currents of a circuit as a function of time t - starting at t=0 (including all transients) - based on an arbitrary input value (voltage or current) and on certain starting conditions (bias point).
DC analysis: Computation of voltages and currents as a function of (a) a variable dc voltage, or (b) a variable dc current, or (c) a variable parts value (example: resistor), or (d) a variable parameter (example: current gain of a transistor)
ac analysis: Computation of voltages and currents within a circuit as a function of a voltage or current with constant amplitude but with variable frequency within a specified range - based on certain starting conditions (bias point).
This analysis corresponds to the classical small signal ac analysis very often used by handheld calculations (example: Xc=1/ωC)
Added later: I doubt if "handheld calculations" is the correct wording; probably is "calculation with pencil and paper" much more better. However, engineers have a lot of fantasy and will understand it, don´t they ?