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The following are already covered in the lectures:

Asymptotes

Curvature

Curve Tracing

Partial Differentiation

Maxima and minima of functions with two variables

Jacobians

Envelopes

The above topics were under the section "Differential Calculus" in the book I am assigned. In the next semester, I guess the instructor will begin with Integral Calculus. It would be great if anyone could suggest some books. Also, I heard my instructor talking about Polar coordinates. Please suggest a book for that too.

Thanks!