Category: Calculus (SV)

Related Rates Demos

It’s that time of the semester… related rates have returned in calculus. I have taught related rates problems in Calculus for years, but have never really been sure whether the students get the whole concept. There are now some excellent demos on the internet to help them see the problems in motion. First let me point you to a site called “Demos with Positive Impact” shown above. This is an NSF sponsored site that hosts ten different related rates problems. Also, I found a few nice related rates problems on Wolfram Demonstrations: Clock hands Snowball Radius, Surface Area, and Volume of a Sphere Boat being pulled into a dock Person walking away from a spotlight So what’s missing? Would someone talented please do the inverted conical water tank problem or the searchlight problem as an animation? Or perhaps point me to where you’ve found them on the internet? Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Group Exploration in Math AMATYC Keynote Notes: Interaction and Impasse The 1-9-90 Rule and Observations of a Classroom Experience Phone Cameras Handle Information in a...

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3-D Printing

I showed the 3-D printed models to my calculus class today and they were really curious about 3-D printing. There is a nice video on the Z-Corp website showing the process. Just for the record, a 3-D printer will cost you around $40K and they have actually been around for 7 years. The new ones use “state of the art” ink-jet technology (hee hee… it’s been a long time since I’ve heard ink-jet referred to as state of the art). There is also a nice description of 3-D printing at the Alchemy Models website. It was fun to look through their gallery of printed solids. Finally, here is an older entry from the Wolfram blog on 3D printing with Mathematica. UPDATE: I just ran across this article (totally by accident) about an open-source do-it-yourself 3D printer that only costs $2400. There is a video in the article. If you’ve got some time on your hands and are mechanically inclined, you could build your own. This video does a much better job of showing the process of adding layers of material. This would be a great video to show in Calc II when you’re talking about the disc or washer method or the idea of slicing to create volume! I mean, really, it couldn’t be more perfect! Possibly Related Posts: Bringing the Real World to Your Math Class Every Day...

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Calculus Phobe Flash Videos

This website has free tutorials for the “Calculus Phobe.” These are student-oriented… so you may not like them as much as your students as they are made to level with students in their language (not necessarily math language). Now you won’t use these videos to teach your class, but it might be a good site for dealing with those students that miss a class. (surely you have some of those!) Also, it might just be a good supplement for students that are having trouble with a particular topic. There are not videos for all calculus topics yet… only limits and derivatives. But the Flash videos are nicely done, and I particularly like that if a student picks an incorrect answer in the flash video, the author tells them what they have done wrong and why it’s incorrect. Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Collection of Math Games Math Game: Antiderivative Block Playing to Learn Math (new version) Calculus Tweetwars: The...

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Famous Curves Index

I found this nice website while looking around the website of a community college in Maine. The Famous Curves Index (published by a school of mathematics in Scotland) has 63 famous curves complete with equations, graphs (like this nice one of Fermat’s Spiral below), a short history of the curve, and a link to interactive Java code for manipulating the curve. This one is the interactive Java code for a Hypocycloid (given by a parametric equation)… very nice! What a great resource for Precalculus and Calculus classes. I will have to pull up some of these curves next week when we talk about implicit differentiation. If you’re teaching parametric equations or polar equations, this site would be great! I didn’t have any trouble getting the Java applets to work. Kudos to the School of Mathematics and Statistics, University of St. Andrews, Scotland for a great collection of curves! Possibly Related Posts: Contemporary Algebra Collection (new resources 2/4/2019) Add Graphs In The World to Courses Bringing the Real World to Your Math Class Every Day Taking the Algebra Out of College Algebra Group Exploration in...

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Calculus Songs!

Don’t ask me how I find this stuff… but it sure is fun to discover what’s out there! Here are 17 songs for Calculus (compiled by Lois Goldstein). I’m thinking we may have to go Calculus caroling in December! Possibly Related Posts: Bringing the Real World to Your Math Class Every Day Collection of Math Games Math Game: Antiderivative Block Playing to Learn Math (new version) Calculus Tweetwars: The...

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