Document 476k

This is a handout that I gave my students to prepare them for the second exam in multivariate calculus at my college

Document 476k

This is a handout that I gave my students to prepare them for the second exam in multivariate calculus at my college

Document 366k

When I teach college calculus, I routinely assign this list of problems to be completed during spring or winter break.

A bag contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement. (answer)

Number the red marbles 1-4 and the blue marbles 5-9. Then there are 4 possibilities for drawing the first red marble and 3 possibilities for drawing the second red marble. On the other hand, there are 9 choices for the first marble and 8 choices for the second marble. Hence the desired...

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Using techniques from complex analysis, sin z can be factored just as any polynomial.

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In this lesson plan I explain the idea of delta-epsilon proofs and develop some notions of limits in the setting of several variables....

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This is a more thorough study of the general n by n determinant. I use it as optional lecture in my Multivariate Calculus course.

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This is a 3rd lecture on Multivariate Calculus, where I give an intuitive development of the determinant.

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This is my second lecture on Multivariate Calculus, where I motivate and explain the dot product.

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This lesson plan introduces vectors and vector operations. It is my first lesson on Multivariate Calculus.

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This is a summary of important trigonometry limits, which enable us to take derivatives of functions like Sin (x), Cos (x), and all other...