This document summarizes a lecture on European imperialism in India and China between the 15th-19th centuries. It discusses the rationale for imperialism including religion, resources and racism. It provides examples of European conquest in India, including the Portuguese capturing Goa in 1510 and the British establishing direct rule in 1857. China was defeated in the Opium War of 1839-42 and forced to open ports to trade, though it was not fully colonized like India. The lecture contrasts the prosperous maritime expeditions ordered by Chinese admiral Zheng He from 1405-1433 with later European voyages of exploration and conquest. It analyzes how new European technologies like steamships allowed them to colonize parts of Asia