We believe that calculus can be for students what it was for Euler and the Bernoullis: a language and a tool for exploring the whole fabric of science. We also believe that much of the mathematical depth and vitality of calculus lies in connections to other sciences. The mathematical questions that arise are compelling in part because the answers matter to other disciplines. We began our work with a "clean slate," not by asking what parts of the traditional course to include or discard. Our starting points are thus our summary of what calculus is really about. Our curricular goals are what we aim to convey about the subject in the course. Our functional goals describe the attitudes and behaviors we hope our students will adopt in using calculus to approach scientific and mathematical questions.
This publication was produced as a teaching tool for college chemistry.The book is a text for a computer-based unit on the chemistry of acid-base titrations, and is designed for use with FORTRAN or BASIC.computer systems, and with a programmable electronic calculator, in a variety of educational settings. The text attempts to present computer programs that are relatively free of reliance on specialized large computer systems programs. The case-study approach presented is highly research and laboratory oriented. Similar subject matter is conventionally taught in most introductory college chemistry courses, but this text material attempts greater depth of instruction through utilization of the computational resources of a computer.
CurvedLand is an applet for showing what the world would look like with different geometry. It is named CurvedLand in tribute to the science fiction novel, Flatland, by Edwin Abbott, which describes the adventures of a two-dimensional being who is visited by a stranger from the third dimension.
One of the central ideas of Einstein's theory of relativity is that space and time curve in response to the matter and energy within them. A curved space is one that doesn't obey the usual laws of Euclidean geometry: the angles of a triangle don't generally add up to 180 degrees, the circumference of a circle isn't pi times the diameter, parallel lines can either converge towards each other or move apart, and so on.
Since the geometry we observe is very close to Euclidean, however, it is hard for most of us to picture what this difference would mean physically. If you draw a circle and a diameter, how could the ratio be anything other than pi? To answer this question, imagine that as you move around in space the shapes of objects appear to distort. This is what happens in curved space. If you draw a circle around yourself and then start walking around it to pace out the circumference, it will look to you like you are walking along a constantly changing ellipse.
CurvedLand illustrates this distortion as it would appear in a two-dimensional curved space. The structure is similar to a mapping program. You can place objects of different shapes in different places in the world and then move around the space to see what they look like from different perspectives.
An introduction to the discipline of logic covering subjects from the structures of arguments, classical and modern logic, categorical and inductive inferences, to informal fallacies.
This lab manual is a series of illustrated, printed lab handouts for my neurophysiology course. It provides videos of procedures, color diagrams, large photographs, and links to supplementary layers of information that go far beyond what was feasible in a printed manual. Each lab module is self-contained and they are intended for use without restriction by colleagues at other colleges. I hope it will encourage others to take similar steps in their own courses, and I hope also that sharing these self-published materials will contribute to an increasing trend of sharing online resources within the neuroscience teaching community.
The Smith College Chinese Character Literacy Project site is part of the Chinese Character Literacy Project which has been funded by the Five College Blended Learning for Humanities and Humanistic Social Sciences and supported by the Five College Deans and a multi-year grant from the Andrew W. Mellon Foundation. This site serves as an online character learning platform which showcases the character videos made by students and instructors in the beginning Chinese courses (CHI110 and CHI111) at Smith College (and with the hope to collaborate with other institutions in the future).