Conference Session

Use of Technology in Teaching Mathematics

Collection

2006 Annual Conference & Exposition

Authors

Melinda Z. Kalainoff, U.S. Military Academy; Dawn E. Riegner, U.S. Military Academy; Matthew Deloia, U.S. Military Academy; Russ Lachance, U.S. Military Academy; Andrew Biaglow, U.S. Military Academy

Tagged Divisions

Mathematics

test sections seem to beperforming the same as or slightly above their peers in the standard sections.Introduction General chemistry is an important foundational course for engineering studies.This is particularly true for chemical, environmental, and mechanical engineering, but alldisciplines rely on general chemistry to varying degrees. Certainly, all four-yearengineering programs begin with general chemistry in the freshman year. An importantarea of study within general chemistry focuses on the concept of chemical equilibrium.Weak aqueous acids and bases, precipitation equilibria, and gas-phase equilibria arestandard topics. Students are taught to calculate equilibrium concentrations given totalconcentrations and equilibrium

Conference Session

Integrating Math, Science, & Engineering

Collection

2006 Annual Conference & Exposition

Authors

Bruno Osorno, California State University-Northridge

Tagged Divisions

Mathematics

8 average value 6 Series1 4 2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 question number Figure5. Academic skills resultsBelow we have included the survey given to the students at the end of the semester. Survey of Academic Skills2 ECE412 Power ElectronicsPlease write a number inside the box for each question. Please use the scale from 0 to 10

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of; Sharlene Katz, California State University-Northridge

Tagged Divisions

Mathematics

emphasize that by writing Card N = 30 we meanthat N is countably infinite.7. Cardinality of Countably Infinite Sets. There are other countably infinite sets, for example,the set Z of all integers. Table 1 gives an idea of how Z can be counted. It seems naturalassigning to Z the symbol 30: Card Z = 30. Any countably infinite set A can be counted by usingthe bijection A 2 N. Thus, the symbol 30 can be assigned to any countably infinite set A. Wewrite: Card A = 30 for any countably infinite set A, or in other words, for any set A that isequivalent to the set N = {1, 2, 3, 4, ..., n, ...} of all positive integers.8. Equivalent Sets Have the Same Cardinality. Next we ask the question: are all infinite sets weknow countable? Or, are there infinite sets