A recently constructed parallel‐plate rheometer has been used in conjunction with a commercial Materials Test System to obtain fast transient and steady‐state stress responses of a PIB solution in a number of well‐defined shearing experiments. These include alternate applications of oscillation and steady flow, superimposed steady and oscillatory flow, and shear deformation with exponentially increasing rates. This series of new transient tests are made possible via the servocontrol of a programmable function generator. The results reveal complex history‐dependent rheological properties of the test sample. Specifically, the stress overshoot peak observed when shearing resumes after a fixed rest period following large‐amplitude oscillations may be appreciably lower than the reference case where no prior oscillations are imposed. The overshoot peak reduction depends on the amplitude and frequency of the prior oscillatory deformation. Superimposed flow leads to a lower average stress than that exhibited by the control case of steady flow without the simultaneously applied oscillation. Exponential increases of shear rate result in stress histories dictated by shear‐rate variation. The stress level is thus not a unique function of either the total accumulated strain or the instantaneous strain rate.