The development of modern theoretical cosmology is presented and some questionable assumptions of orthodox cosmology are pointed out. Suggests that recent observations indicate that hierarchical clustering is a basic factor in cosmology. The implications of hierarchical models of the universe are considered. Bibliography. (LC)

Part I reviews the mathematical definition of function, and then presents some practical uses of functions in such areas as substitution in a formula, equation solving, and curve fitting. Part II gives examples of functions that can be used to describe some real life situations. (RP)

Describes three of many uses to which the desk-top computer has been put in the introductory physics laboratory. The three uses involve an AC circuit laboratory, an equipotential mapping experiment, and an N-slit diffraction experiment. Typical desk-top computer-produced theory plots are shown. (LC)

Discusses the notion that knowledge grows exponentially and describes its growth mathematically by an exponential function. Growth patterns in subfields of knowledge or research areas are described citing related research. Interpretation of growth rate statistics and forecasts are included. Thirty-three references and statistics used for graphs…

Graphs are used to help students keep records of their scores as they learn the basic facts. (MNS)

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

This investigation concerns student understanding of the concept of gradient. Six items are discussed from a series of tests constructed for Technical Education Council (TEC) qualification. It is concluded that confusion exists, and a summary of apparent student difficulties is presented. (MP)