APEX Calculus - Functions of Several Variables
Offered By: Sean Fitzpatrick via YouTube
Course Description
Overview
Syllabus
Notation for functions of several variables.
Limits and continuity.
Defining partial derivatives.
Interpreting partial derivatives.
Partial derivatives.
Second-order partials and differentiability classes.
Differentiability in two variables.
Showing that a function is differentiable.
Differentiability in general.
Chain rule.
Chain rule examples.
Chain rule with matrices.
Implicit differentiation.
Directional derivatives: definition.
Directional derivatives: examples.
Directional derivatives: interpretation and significance.
Extreme values and critical points.
Finding critical points.
Classifying critical points.
Classifying critical points: Example #1.
Classifying critical points: Example #2.
Finding extreme values: Example #1.
Finding extreme values: Example #2.
Introducing Lagrange multipliers.
Lagrange multipliers: Example #1.
Lagrange multipliers: Example #2.
Taught by
Sean Fitzpatrick
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