MATH 215 practice exams

Multivariable and Vector Calculus · University of Michigan

Make a free, printable MATH 215 practice exam: choose the topics, the length and the difficulty above, and get an exam-style PDF with a full answer key. Each paper draws on 600 original questions and skips the ones you have already seen.

Topics covered

• Vectors, Lines, Planes and Surfaces · 60 questions
• Vector Functions and Curves · 60 questions
• Limits, Continuity and Partial Derivatives · 60 questions
• Chain Rule, Gradient and Tangent Planes · 60 questions
• Extrema and Lagrange Multipliers · 60 questions
• Double Integrals · 60 questions
• Triple Integrals and Change of Variables · 60 questions
• Vector Fields and Line Integrals · 60 questions
• Green's Theorem, Curl and Divergence · 60 questions
• Surface Integrals, Stokes and the Divergence Theorem · 60 questions

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