Where Can I Find Challenging Exercises for Multivariable Calculus?

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The discussion centers on preparing for a tough multivariable calculus exam covering series, vectors, partial differentiation, and multiple integration. The original poster is studying from Stewart's Calculus and Adams Calculus: A Complete Course but is seeking additional resources with more challenging exercises. Several users recommend three course websites from Caltech that provide homework problems in single and multivariable calculus, noting that while not all problems may be useful, some are indeed challenging and could aid in exam preparation. There is no mention of specific introductory books with harder problems, indicating a gap in available resources for advanced practice.
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Hi everyone.

We will have a tough exam for multivariable calculus which contains subjects like series, vectors, partial differentiation, multiple integration.

Im currently studying on Stewart's Calculus and Adams Calculus: A complete course but I am not sure the problems in these books are hard enough for the exam.

So i need a good book or website that has some good, challenging exercises about these subjects.

Thanks for your advice.
 
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http://www.math.caltech.edu/~2011-12/3term/ma001c-pr/index.html#hw

http://www.math.caltech.edu/~2011-12/1term/ma001a/#hw

http://www.its.caltech.edu/~padraic/math1d_2012/math1d_2012.html

Those are three course websites from Caltech on single/multivariable calculus, multivariable/linear and a course on series. If you go through the homeworks, you should find challenging problems. Granted, not all the homework problems will be useful but there are some very good and challenging problems in there.

I don't know any intro books myself that have more challenging problems.
 
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