The author presents a technique for solving limit problems that involve polynomial or rational functions by using delta, epsilon proofs. (MN)

The behavior of certain functions in advanced calculus is discussed, with the mathematics explained. (MNS)

How current calculus textbooks consider the relationship between the tangent line and the derivative are discussed, with three theorems presented. (MNS)

The behavior of some functions near the point of origin is discussed. Each function oscillates, and as x approaches 0, the oscillations become increasingly more rapid; their behavior near the origin improves with increasing values of n. Examples for a calculus class to consider are given. (MNS)

The history of the study of dynamical systems is traced, examples are given, and the contribution of Birkhoff and Smale are described. (DT)

This paper presents an initial hypothesis of instructors' beliefs about their role in helping students learn to solve problems in an introductory calculus-based physics course. Instructors see their teaching role as primarily providing resources and making suggestions, with little mentioning of how they influence the students to use the resources…

This paper reports on the vital role that reflective thinking plays in solving problems involving the mathematics of change and variation particularly multivariable calculus. We report on how reflective thinking is one kind of self-regulatory (in the sense of metacognitive) thought mechanism. We present an outline of the results of a larger study,…

This paper describes a project one teacher assigns to Calculus I students at the Department of Mathematical Sciences at Loyola College in Baltimore, Maryland. The project is introduced to the students early in the semester and requires the use of technology, team work, and the completion of an extensive writing component. The goal of the project…

Brief articles on topological regular solids giving a proof of Euler's Theorem and the Regularity Theorem; calculus theorems; including a limit theorem, the Law of the Man, and the Intermediate Value Theorem, applied to catching calves, drunk cowboys, and the border of Montana Respectively; and a discussion of the inequality tan A<A<sin A…

Three examples of the use of intuitive geometrical ideas in clarifying analytical results. (MM)