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I'm in the process of working on developing a course to prepare students for calculus. The emphasis is to build up students' conceptual mathematical thinking, particularly that related to the notion of the function. Recognizing that motivation is one of the biggest issues to overcome, I am looking for is interesting problems that are related to the function concept, or other pre-calculus concepts (such as exponentials, trigonometry, algebra). The students are mostly going into engineering, so problems that are intriguing from a scientific standpoint are also welcome.

Any help is greatly appreciated!

Best,

-Xaenn