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MAMT 540 Calculus Revisited

Winter 2012

Calculus! Don't you have fond memories of the first time you learned about derivatives and integrals? Learned how to solve word problems involving related rates or optimization? Calculated the equations of tangent lines to curves and the volumes of surfaces of revolutions? Remember what calculus problem pictures like this ask you to solve?
In this class you'll get to re-live some of those memories and **Studying the calculus reform movement:** In the 1980s a movement started to "reform" the way calculus was taught in colleges and universities (which eventually made its way into high schools). Why did people do this? What happened? And how has calculus teaching changed as a result?**Tidbits from higher calculus:** All of calculus can be extended to higher dimensions, but seldom do calculus classes really touch on this. We'll look at 4 or 5 main theorems from higher-dimensional calculus (which use vectors and matrices) to get a sense of the**bigger picture**of calculus and try to understand what kind of problems it can be applied to.
First Half: While we review basic calculus in class, students will be working in teams to analyze and give a presentation on an aspect of the calculus reform movement. Specifically, teams will be given a "reform textbook" to study and report on to the rest of the class.
Second Half: We'll focus on more advanced calculus methods, especially bringing the material up to higher dimensions. Depending on how the first half of the course goes, there might be a final, individual project assigned on a more focused aspect of calculus reform or calculus teaching.
Please contact me if you have any questions! thull@wne.edu Last updated: 12/10/2012 |