Critical care neurology involves management of conditions like coma, brain death, increased intracranial pressure, and hypoxic ischemic encephalopathy. Stroke management includes understanding brain vascular anatomy and syndromes, evaluating for ischemic versus hemorrhagic causes, performing acute treatments like thrombolysis or hemorrhage surgery, and providing long-term secondary prevention through management of risk factors. Evaluation involves assessments like the NIH stroke scale and tests like CT and angiography to identify etiology and guide acute and chronic management.