MAP 2302: Differential Equations
Links to Course Tools
Blackboard: The portal for the course. Please log in for more course information.
CampusCruiser: The portal for HCC email. Please use it to send email to me.
Schedule: This document gives a tentative schedule for the entire term.
Online Learning Tools
WolframAlpha: According to the website this is an “online computation knowledge engine.” Regardless of what you call it, this is a remarkable web site.
Visual Calculus: Contains lots of example problems solved step-by-step. Good coverage of techniques of integration (a Calculus II topic) especially integration by parts, partial fractions, and substitution problems. These techniques are useful for solving differential equations.
Calculus: A free calculus textbook courtesy of Wikibooks! Unfortunately its explanations are brief and the exercises are very limited. Perhaps in the future it will be as good as a commercial text. An improved book, in the public domain like this one, would save students a pretty penny! Use it to review Calculus topics if you do not have easy access to a Calculus book.
MathWorld: An online encyclopedia of mathematics.
MIT OpenCourseWare for Differential Equations: An online course on Differential Equations designed at MIT. The video lectures and lecture notes cover many of the same topics we are learning in this course.
Paul’s Online Math Notes – Differential Equations: Nice notes for a Differential Equations course created by Paul Dawkins of Lamar University.
Gottfried Leibniz: A short biography of one of the creators of the Calculus.
Sir Isaac Newton: A short biography of one of the creators of the Calculus.
Leonard Euler: A short biography of the most prolific mathematician of all time. He was one of the most prolific mathematicians of all time. We will study Euler’s Method—a procedure for numerically solving a first order differential equation.
Willard Libby: He won the Nobel Prize in chemistry in 1960 for his method of dating organic material by measuring the radioactive decay of carbon-14. His method uses an exponential model for radioactive decay as he mentions in his presentation speech: The disintegration [of Carbon-14] is such a slow procedure, however, that 5,600 years are required to convert half of these atoms into nitrogen. After another 5,600 years, there is still one quarter left, and after an equally long period of time one eighth, etc. Carbon-14 is thus said to have a half-life of 5,600 years.The presentation speech found at the link gives a good explanation of his work. Libby’s very readable Nobel speech is also available on this web page.
Thomas Malthus: In his An Essay on the Principle of Population Malthus proposed an exponential model for the growth of human populations and discusses the negative effect of such a model on human happiness. His paper helped Charles Darwin and Alfred Wallace, independently, to develop the theory of natural selection.
Jules Verne’s From the Earth to the Moon: An etext version of Jules Verne’s novel. In the novel, the Gun Club sends a manned projectile to the moon. We will compute the earth’s escape velocity by doing the “incontrovertible calculations” that Barbicane, president of the Gun Club, alludes to at the end of Chapter 2. At the end of Chapter 11, Barbicane chooses Tampa Town for the firing of the Gun Club’s moon shot! A historical marker at the spot of the fictional launch can be found at Ballast Point in Tampa.
Ambrioso Fall 2012