Calculus 3 Multivariable Calculus Unit 3: Functions of Several Variables
This resource includes a Review and Exam on Unit 3, Functions of Several Variables, and includes the following topics:
✓ Introduction to Functions of Several Variables
✓ Limits and Continuity
✓ Partial Derivatives
✓ Chain Rules for Functions of Several Variables
✓ Directional Derivatives and Gradients
✓ Tangent Planes and Normal Lines
✓ Extrema of Functions of Two Variables
✓ Applications of Extrema of Functions of Two Variables
✓ Lagrange Multipliers
The test should take about an hour. I have included Formula Sheets for students. I usually give a copy for the review and then a fresh copy printed on colored paper for the test. This way you can be sure there are no notes on them. The review can be done as an in class assignment or students can work in groups. It can also be a take-home if you are short on time. It is somewhat self-checking as the answers are multiple choice. Full solutions are included
for both the review and the exam for your convenience.
You may also like:
★ Calculus 3 Multi-Variable Calculus Unit 1
★ Calculus 3 Multi-Variable Calculus Unit 2
★ More Calculus Resources
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