Science Problems with an Apology

I added these two problems to the Precalculus homework list as part of my effort to incorporate science examples in my classes.

Science Problems for Precalculus

Science Problems for Precalculus

They were taken from solutions to some physics exercises and intended to give more practice on multi-variable systems. Afterwards I shared a copy with our science people accompanied by an apology. I had stripped the problems of meaning. They just sit there lifeless, without any scientific justification or reasoning. Our students will still benefit from seeing problems that are closer, if only in notation, to the ones they will see in their science courses. Anyway, if you think about it, the problems are least one level above the algebra abstraction where all variables are x and y.
I just got an email from our physics professor. He asked me to reword the first problem to emphasize that the tangent of theta is a function of several variables. What a good idea. This is a point of view that we introduce too late in mathematical curricula. I can’t wait to discuss this stuff with my students tomorrow.

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About jrh794

I am a sixty-five year old math instructor at Southern Oregon University. I taught at the College of the Siskiyous in Weed California for twenty-six years. Prior to that I worked as a computer programmer, carpenter and in various other jobs. I graduated from Rice University in 1967 and have a MS in Operations Research from Stanford. In the past I have hand-built a stone house and taken long solo bicycle tours. Now I ride my mountain bike and play golf for recreation.
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