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## Main Question or Discussion Point

The college I am currently in has started with Differential Calculus. Due to some reasons I haven't been able to attend the lectures. The current book assigned to us is of no help. The book only shows the solved problems on the topic with very less introduction and no geometrical meaning. I don't know to which area of mathematics the following topics belong and thus I am unable to search for any book.

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!

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!