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I am a graduate student at the University of Michigan and I have been tutoring a high school student in math and physics for about a year now. As he will be taking Calc AB next fall, he asked me to teach him calculus this summer. I am excited to do this, but am not sure the best way to approach it.

When I was in high school, I did a little independent study using the book Calculus Made Easy by Thompson and Gardner. I remember this to be beneficial; however, returning to the book now, there is very little treatment given to limits, a topic my student has yet to cover in pre-calc. I'm thinking the best place to start a mini-course in calculus is with the concept of limits, but am not sure of this.

Does anyone have any advice on the best way to introduce calculus to a student?

Thanks,

Eric

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# Teaching Calculus for the First Time

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