These notes are for a summer school which will introduce mathematically minded year 12 high school students to scientific computing covering a variety of scientific disciplines. All of the disciplines concentrate on examples that follow the basic exponential behaviour of two coupled first order differential equations. The various problems pursued are from the disciplines of mathematics, physics, chemistry, biology, and include consideration of other exponential processes such as competing population problems such as between sharks and little fishes. Much of the course is devoted to electronic computing. The student (a) will set up a digital computer for the least squares problem, and (b) will use an analogue computer to study competing ex...