Infinitesimal Time Scale Calculus

Calculus has historically been fragmented into multiple distinct theories such as differential calculus, difference calculus, quantum calculus, and many others. These theories are all about the concept of what it means to change , but in various contexts. Time scales calculus (introduced by Stefan Hilger in 1988) is a synthesis and extension of all the various calculi into a single theory. Calculus was originally approached with infinitely small numbers which fell out of use because the use of these numbers could not be justified. In 1960, Abraham Robinson introduced hyperreal numbers, a justification for their use, and therefore the original approach to calculus was indeed logically valid. In this thesis, we combine Abraham Robinson\u27s hyperreal numbers with Stefan Hilger\u27s time scale calculus to create infinitesimal time scale calculus

Getting off the ground with AP Calculus

“The study of mathematics, like the Nile, begins in minuteness but ends in magnificence.” – Charles Caleb Colton Caught in a downward spiral, American mathematical students continue to be outperformed by their international peers as reported by the TIMSS. This has left educators scrambling to find an instructional strategy that will slow this decline in mathematical literacy. This thesis reports on the framework that a new teacher could use to develop and establish a successful AP Calculus program, while increasing mathematical literacy, equity in the classroom, and student achievement through the integration of educational technology into current instructional trends. This thesis speaks to the advantages of educational technology in supplementing the classroom transformation from a teacher-centered classroom to a student-centered classroom. Such technology can offer many potential advantages to educators, by providing instantaneous feedback, tutorial assistance and increased practice opportunities for each and every assigned problem, affording students the opportunity to develop content mastery, and freeing teachers to teach. Herein lays the true novelty of this thesis. In the appendix, new AP teachers are provided a suitcase, equipped with everything they need to get AP Calculus off the ground. In this suitcase, they will find the instructor’s resource kit, a collection of lecture notes, student-centered activities, thought provoking projects, helpful hints and other instructional resources, and MyMathLab online system by Pearson Education serving as the online component. The combination of MyMathLab and the instructor’s resource kit act as a conceptual compass, helping the teacher maintain a steady bearing while allowing students time to stop and study concepts in further detail

ACMS 18th Biennial Conference Proceedings

Association of Christians in the Mathematical Sciences 18th Biennial Conference Proceedings, June 1-4, 2011, Westmont College, Santa Barbara, CA

The spark that ignited the Industrial Revolution : an examination of the institutions surrounding the development of the steam engine in England and France

M-DNR

Teaching and Learning of Calculus

Mathematics Education; Learning & Instructio

Suffolk University Undergraduate Academic Catalog, College of Arts and Sciences, 2017-2018

This catalog contains information for the undergraduate programs in the College of Arts and Sciences. The catalog is a PDF version of the Suffolk website, so many pages have repeated information and links in the document will not work. The catalog is keyword searchable by clicking ctrl+f. A-Z course descriptions are also included here as a separate PDF file listing all CAS course offerings. Please contact the Archives if you need assistance navigating this catalog or finding information on degree requirements or course descriptions.https://dc.suffolk.edu/cassbs-catalogs/1175/thumbnail.jp