This programed text is an introduction to the algebra of complex numbers for engineering students, particularly because of its relevance to important problems of applications in electrical engineering. It is designed for a person who is well experienced with the algebra of real numbers and calculus, but who has no experience with complex number algebra. The main ideas in this programed text are (1) the origin of complex numbers, (2) graphical interpretation of the quadratic function whose solutions are complex numbers, (3) fundamental operations with complex numbers, (4) complex numbers of trigonometric functions of sin x and cos x, (5) exponential form of a complex number, (6) geometrical interpretation of a complex number using vectors in the plane, (7) differentiation of six ax and cos ax, and (8) finding the nth root of a complex number. (RP)