This is page 2 of a sequence of video pages that outline Ma 125, calculus 1, taught at the University of South Alabama. All the videos here have been produced by either Kent Murdick (Lutemann) or Scott Carter (Professor Elvis Zap). The videos are available at youtube under Lutemann or ProfessorElvisZap. Most of the videos were prepared in 1 or 2 takes. When errors were discovered, some graphical editing was performed. If glaring errors exist, then please let us know and we will correct them.
Students should be aware that by clicking on the video to open the associated youtube window, related videos as sorted by youtube appear. You might also find these helpful.
Most importantly, the department wishes to emphasize that watching videos is no substitute for attending class!
In addition, the most effective way of learning mathematics is to attempt to work problems and to continue attempting until you obtain a solutions. Professional mathematicians employ a variety of problem solving strategies:
In learning and quoting definitions in mathematics, one must learn them verbatim. Mathematics is developed via an ultra-precise use of language. Word order matters. Each of the "arbitrarily/sufficiently" definition, the graphical definition, and the epsilon-delta definitions is a correct definition. The ideas lead to an increasingly precise notion.
On the other hand, under such precision some intuition is lost. The methods for computing limits given under the topics "Useful identities" in the wikipedia article have to be established as theorems.
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