Where Can I Find Challenging Exercises for Multivariable Calculus?

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SUMMARY

The discussion focuses on finding challenging exercises for multivariable calculus, specifically covering topics such as series, vectors, partial differentiation, and multiple integration. The user is currently studying from Stewart's Calculus and Adams Calculus: A Complete Course but seeks additional resources to prepare for a tough exam. Recommendations include three Caltech course websites that provide homework problems, which contain a mix of useful and challenging exercises for these subjects.

PREREQUISITES
  • Understanding of multivariable calculus concepts such as series and vectors
  • Familiarity with partial differentiation techniques
  • Knowledge of multiple integration methods
  • Experience with calculus textbooks like Stewart's Calculus and Adams Calculus: A Complete Course
NEXT STEPS
  • Explore the Caltech course website for multivariable calculus homework problems
  • Research additional resources for challenging exercises in multivariable calculus
  • Investigate advanced calculus textbooks that focus on problem sets
  • Review online platforms that offer calculus problem-solving communities
USEFUL FOR

Students preparing for multivariable calculus exams, educators seeking challenging materials for their curriculum, and anyone looking to enhance their problem-solving skills in calculus.

wtiger1702
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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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