A course in differential equations for mathematics and physics students is designed to encourage students to models of situations in the sciences. (SD)

A systematic approach to general orthogonal co-ordinates, suitable for use near the end of a beginning vector analysis course, is presented. It introduces students to tensor quantities and shows how equations and quantities needed in classical problems can be determined. (Author/LS)

A major source of challenging problems for students is the use of higher mathematics to derive elementary problems. Several examples are given. (MP)

This paper outlines a technique for teaching a rigorous course in calculus and differential equations which stresses applicability of the mathematics to problems in civil engineering. The method involves integration of subject matter and team teaching. (SD)

This paper describes the nature and use of a computer-assisted sequence of instruction in college-level mathematics. Units in differential and integral calculus and geometry are described. The authors claim that students acquire increased confidence in their knowledge and problem-solving ability. (SD)

A twenty-week course was designed around investigating many properties of the torus. Topology, differential geometry, and topics from both real and complex analysis were included. (SD)

The author argues that the existence and uniqueness theorems of elementary differential equations must be taught prior to some simple initial value problems. (SD)

A calculus course was designed to give students an appreciation of mathematics as a social process rather than a set of techniques. Group activities, problem solving sessions, and a new approach to testing were used. (SD)

A course of mathematical methods for students of different degree programs is outlined. An approach to the teaching of the course is described which allows continuity between sections of apparently different material. (MP)

The calculus of finite differences and finite sums is used to create a context in which the computer can be incorporated into calculus courses. Analyses of the experimental implementations are included. (MP)

A geometric method for constructing one infinite geometric series is described. The unit of the sum of the series is analyzed, and the behavior of the sum near two points is studied. (DT)