We argue that the use of differentials in introductory calculus courses provides a unifying theme which leads to a coherent view of calculus. Along the way, we will meet several interpretations of differentials, some better than others.
Features an introduction to advanced calculus and highlights its inherent concepts from linear algeb...
Abstract: In learning new calculus concepts, students are usually expected to have a considerable kn...
The study of ordinary differential equations has long been a staple in mathematics at both the under...
Designing the curriculum We believe that calculus can be for students what it was for Euler and the ...
The almost unanimous opinion of 103 high school Physics teachers, and the results of the analysis of...
Enables readers to apply the fundamentals of differential calculus to solve real-life problems in en...
The author recommends teaching integration first, and move on to differential calculus only after a ...
Despite considerable research with students of calculus, rate, and hence derivative, remain difficul...
Summary This paper introduces DD calculus and describes the basic calculus concepts of derivative an...
Despite its frequent use, there is little understanding of the concept of differential among upper ...
The process of the mathematization of physical situations through differential calculus requires an ...
Building on introductory calculus courses, this text provides a sound foundation in the underlying p...
Introductory Analysis addresses the needs of students taking a course in analysis after completing a...
Calculus, as commonly taught, describes certain operations on explicit functions, but science relies...
Calculus, as commonly taught, describes certain operations on explicit functions, but science relies...
Features an introduction to advanced calculus and highlights its inherent concepts from linear algeb...
Abstract: In learning new calculus concepts, students are usually expected to have a considerable kn...
The study of ordinary differential equations has long been a staple in mathematics at both the under...
Designing the curriculum We believe that calculus can be for students what it was for Euler and the ...
The almost unanimous opinion of 103 high school Physics teachers, and the results of the analysis of...
Enables readers to apply the fundamentals of differential calculus to solve real-life problems in en...
The author recommends teaching integration first, and move on to differential calculus only after a ...
Despite considerable research with students of calculus, rate, and hence derivative, remain difficul...
Summary This paper introduces DD calculus and describes the basic calculus concepts of derivative an...
Despite its frequent use, there is little understanding of the concept of differential among upper ...
The process of the mathematization of physical situations through differential calculus requires an ...
Building on introductory calculus courses, this text provides a sound foundation in the underlying p...
Introductory Analysis addresses the needs of students taking a course in analysis after completing a...
Calculus, as commonly taught, describes certain operations on explicit functions, but science relies...
Calculus, as commonly taught, describes certain operations on explicit functions, but science relies...
Features an introduction to advanced calculus and highlights its inherent concepts from linear algeb...
Abstract: In learning new calculus concepts, students are usually expected to have a considerable kn...
The study of ordinary differential equations has long been a staple in mathematics at both the under...