Embedded Files
Unit Summary
Unit Summary
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Study Guides
Study Guides
Unit 4
Unit 6
Study Guide Solutions
Study Guide Solutions
Unit 4
Unit 6
Final Exam Resources (In Progress)
Final Exam Resources (In Progress)
Free Response Exams
Free Response Exams
FRE #1
FRE #2
FRE #3
FRE Answer Keys
FRE Answer Keys
FRE #1 Answers
FRE #2 Answers
FRE #3 Answers
Walk through videos (In Progress)
Walk through videos (In Progress)
Unit 1 (12.1 - 13.2)
Vector Basics
The Cross Product @
Planes @
Distances in 3D
Unit 2 (14.1 - 14.8)
Multi-variable Functions / Surfaces
Partial Derivatives
Tangent Planes
The Gradient
Directional Derivatives
The Lagrange Multiplier
Unit 3 (15.1 - 15.4)
Double Integrals
Double Integrals - Bounded Regions
Double Integrals - Polar Coordinates
Unit 4 (12.1 - 13.2)
Triple integrals in Rectangular Coordinates
Triple integrals in Cylindrical Coordinates
Triple integrals in Spherical Coordinates
Unit 5 (16.1 - 16.4)
Line Integrals of Scalar Fields
Path Independence
Fundamental Theorem of Line Integrals
Green's Theorem
Unit 6 (16.5 - 16.8)
Parameterizing surfaces
Flux
Stokes Theorem
Divergence Theorem
Calc III / Multivariable Calculus
Calc III / Multivariable Calculus
Because math is taught differently depending on where you learned it, it is important to note that all the resources included in this page correspond to the James Stewart 8th Edition Multivariable Calculus (which is also displayed on the left). If you are learning Calc III / MV via a different textbook that is not a problem at all, the resources on this page are still applicable. The units are divided up the same way multi-variable calculus is taught at Evanston Township High School. The corresponding pages for each unit are shown below:
Unit 1, Pages 831 - 901
Unit 2, Pages 927 - 1026
Unit 3, Pages 1027 - 1065
Unit 4, Pages
Unit 5, Pages
Unit 6, Pages
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