Math 1A03 Advice - Math1A03 Fall 2009 Unsolicited Advice...

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Math1A03 - Fall 2009 Unsolicited Advice from the Co-ordinator Students in my lectures have heard this already, but it bears repeating. University level mathematics requires a significant change in the way students approach mathemat- ics. One can earn considerable success in high school mathematics simply learning and repeating procedures without understanding what they mean. That even carries over into most of the first half of this calculus course. That option is now gone. Starting with applications of the derivative, and definitely now that we are into inte- gration, an understanding of the concepts, what things mean and why you are doing them, is necessary (and this is a good thing; in your professional practice problems will never come pre-packaged the way they appear in a textbook). With differentiation, people can get by not even recalling what the derivative means or where it came from, but simply following the rules until it gets them to the end of the problem. We do NOT have those procedures for integration, or honestly we would tell you them. Consider the following
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