Multivariable Calculus
Definition and Finding Critical Points
Types of Critical Points
Discriminant Test
Classification of Critical Points
Local Maxima
Local Minima
Saddle Points
Extreme Value Theorem for Multivariable Functions
Finding Absolute Extrema on Closed Bounded Sets
Boundary Analysis
Applications to Optimization Problems
Single Constraint Problems
Multiple Constraint Problems
Economic Applications
Engineering Applications
Geometric Applications
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4. Partial Derivatives
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6. Multiple Integrals