TEXTBOOKS**:**

*
Early
Transcendentals Multivariable Calculus, fifth edition*,
by James Stewart (The regular version of Stewarts Multivariable
Calculus is identical, except for the page and chapter numbers.)

*
Student
Solutions Manual*
for the above textbook (this is recommended, but not vital)

*
Calculus on
Manifolds*,
by Michael Spivak

REFERENCES:

The following are various reference books for this course, listed
roughly in increasing level of rigour:

Marsden, J.E.
and
Tromba, A.J. *Vector Calculus*

Apostol, T.M.
*Mathematical Analysis*

Lang, S.
*Calculus of Several Variables*

Hubbard, J.H.
and Hubbard, B.B. *Vector Calculus, Linear
Algebra, and Differential Forms*

Lang, S.
*Undergraduate Analysis*

Munkres, J.R.
*Analysis on Manifolds*