Performance objectives for precalculus mathematics are listed after a look at the content of current calculus courses. (JT)

The use of trigonometry in making astronomical calculations prior to the invention of logarithms is discussed. (JT)

Three different geometric constructions of the parabola are described.

A problem illustrating how physics and mathematics complement one another when analyzing problems of the physical world is described. (JT)

Methods for getting a computer-linked plotter to do a total plot of a relation are discussed. (DT)

An interesting comparison of the techniques of geometry and calculus used to solve the same problem. (JP)

By changing the Euclidean metric definition, a new geometry is developed. Properties of figures are analyzed and theorems are proven in this new system. (DT)

Procedures being used in an individualized approach to college mathematics instruction are described. Advantages and disadvantages of the independent-study approach are discussed. (DT)

Student suggestions for solutions to mathematics problems should be invited and investigated. Described are examples which introduce the concepts of slope, translation of axes, and curvature. (RS)

Describes the development of one of Euler's infinite series for pi. Includes a computer program for computational verification output of two series which converge to pi. (RS)

The placement tests used at most colleges represent what is probably the biggest hurdle in the transition between school and collegiate mathematics. This article looks at different aspects of the problems and suggests some strategies for attempting to resolve the difficulties.