Curated OER
Functions of Two Variables
For this functions worksheet, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students find the...
Curated OER
Multivariable Calculus: Application of Partial Derivatives
In this partial derivatives learning exercise, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page learning exercise contains...
Curated OER
Multivariable calculus: Partial Derivatives
In this partial derivative worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
Curated OER
Multivariable Calculus/ Bonus Quiz 4, Partial Derivatives
In this math worksheet, students practice solving the problems that focus upon the concept of partial derivatives. The problems are in the form of a quiz.
Massachusetts Institute of Technology
Mit: Open Course Ware: Multivariable Calculus
The online course consists of educational materials about multivariable calculus. Readings, syllabus, interactive mathlets, video lectures, exams, and assignments are included.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook Study Guide)
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Wolfram Research
Wolfram Math World: Second Derivative Test
MathWorld.com has definitions, formulas, and links to relevant sites for derivatives.
American Association of Physics Teachers
Com Padre Digital Library: Open Source Physics: Scalar Field Gradient Model
Students investigate scalar and vector fields though a downloadable java simulation. The simulation explores the gradient of a scalar field using a numerical approximation to the partial derivatives.
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Partial Derivatives
The resource examines partial derivatives. Topics investigated are limits, higher order partial derivatives, chain rule, and directional derivatives. Class notes, definitions, and examples with detailed solutions are included. The notes...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.