The Harvard Consortium text

Calculus: Single Variable, Course Advantage Edition, Third Edition by Deborah Hughes-Hallett, Andrew M. Gleason and William G. McCallum

http://bcs.wiley.com/he-bcs/Books?action=resource&bcsId=1404&itemId=0471448761&resourceId=3360

gives a very perfunctory treatment of convergence of sequences (almost none in the first edition) -- which is somewhat ironic given its heavy reliance on numerical methods. On the other hand, it manages to treat parametric equations, polar coordinates and even a few tests for convergence of series, besides other desirable topics (Taylor series included). I taught from it several sections of Calculus I and II at a "big state university" a few years ago, and while I was not happy about the irony, I must admit the book is quite efficient and generally not boring-- unlike another calculus book from which I taught later at another "big state university".

To whoever might read this: I am just describing my actual teaching experience, not taking a stand of any kind in the debate on "reform calculus". This text (just like any other) has its pros and cons, many of which are summarized here:

http://www.math.harvard.edu/~knill/pedagogy/harvardcalculus/

The Harvard Consortium text

Calculus: Single Variable, Course Advantage Edition, Third Edition by Deborah Hughes-Hallett, Andrew M. Gleason and William G. McCallum

http://bcs.wiley.com/he-bcs/Books?action=resource&bcsId=1404&itemId=0471448761&resourceId=3360

gives a very perfunctory treatment of convergence of sequences (almost none in the first edition) -- which is somewhat ironic given its heavy reliance on numerical methods. On the other hand, it manages to treat parametric equations, polar coordinates and even a few tests for convergence of series, besides other desirable topics (Taylor series included). I taught from it (well, from the 1st and 2nd edition, to be precise) several sections of Calculus I and II at a "big state university" a few years ago, and while I was not happy about the irony, I must admit the book is quite efficient and generally not boring-- unlike another calculus book from which I taught later at another "big state university".

To whoever might read this: I am just describing my actual teaching experience, not taking a stand of any kind in the debate on "reform calculus". This textbook (just like any other) has its pros and cons, many of which are summarized here:

http://www.math.harvard.edu/~knill/pedagogy/harvardcalculus/