A self-paced and self-graded tutorial review for Differential and Integral Calculus. Each section has a very brief review of the material followed by a quiz (multiple choice or type-in-answer). A correct answer is acknowledged; students can ask for a partial hint.
To enable students to review the nuts and bolts of Freshman Calculus, and to check their mastery of the material.
Target Student Population:
This website was designed for students beginning a course in multivariable calculus, vector calculus, and ordinary differential equations. Basic calculus skills are often forgotten over the summer, winter break, or any other extended breaks from mathematics. The site is meant to help point out to the students what concepts have been forgotten and what material they should review in their calculus texts if they wish to be successful in their present mathematics course.
Prerequisite Knowledge or Skills:
The material is a review. The student is assumed to have studied calculus beforehand. As usual, solid precalculus skills are essential. (A similar set of quizzes on precalculus material by the same author may be found at href="http://www.mathcs.sjsu.edu/faculty/valdes/calc_place/home.html">http://www.mathcs.sjsu.edu/faculty/valdes/calc_place/home.html)
Type of Material:
Short text with self-grading quizzes.
Student review of single-variable calculus prior to beginning a course in multivariable calculus, vector calculus, and ordinary differential equations.
Evaluation and Observation
The material is succinctly reviewed; most important points are covered. The quiz applets are well designed.
The review focuses on the purely computational aspects of calculus. There is no mention, for example, of the geometrical meaning of the derivative as the limit of the slopes of secant lines, or of the interpretation of the definite integral as area. Although mastery of computational and formal aspects of calculus is essential for success in calculus and in subsequent courses, it is not sufficient. So a high score on this review may lead a student to believe, incorrectly, that he or she has understood calculus.
Potential Effectiveness as a Teaching Tool
The site accomplishes its purpose efficiently and elegantly. The quizzes are well though out and fun to take.
The multiple-choice quizzes could be enhanced by a "none of the above" option.
Ease of Use for Both Students and Faculty
The site is very nicely designed and transparent to use.