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18

Applications of Lagrange Multipliers

Lecture no. 18 from the course: Understanding Multivariable Calculus: Problems, Solutions, and Tips

Applications of Lagrange Multipliers

Taught by Professor Bruce H. Edwards | 29 min | Categories: The Great Courses Plus Online Mathematics Courses

How useful is the Lagrange multiplier method in elementary problems? Observe the beautiful simplicity of Lagrange multipliers firsthand as you reexamine an optimization problem from Lecture 7 using this new tool. Next, explore one of the many uses of constrained optimization in the world of physics by deriving Snell’s Law of Refraction.

36 Lectures

1
Image of A Visual Introduction to 3-D Calculus
A Visual Introduction to 3-D Calculus
0 of 33 min
2
Image of Functions of Several Variables
Functions of Several Variables
0 of 30 min
3
Image of Limits, Continuity, and Partial Derivatives
Limits, Continuity, and Partial Derivatives
0 of 30 min
4
Image of Partial Derivatives—One Variable at a Time
Partial Derivatives—One Variable at a Time
0 of 30 min
5
Image of Total Differentials and Chain Rules
Total Differentials and Chain Rules
0 of 31 min
6
Image of Extrema of Functions of Two Variables
Extrema of Functions of Two Variables
0 of 30 min
7
Image of Applications to Optimization Problems
Applications to Optimization Problems
0 of 30 min
8
Image of Linear Models and Least Squares Regression
Linear Models and Least Squares Regression
0 of 31 min
9
Image of Vectors and the Dot Product in Space
Vectors and the Dot Product in Space
0 of 29 min
10
Image of The Cross Product of Two Vectors in Space
The Cross Product of Two Vectors in Space
0 of 29 min
11
Image of Lines and Planes in Space
Lines and Planes in Space
0 of 31 min
12
Image of Curved Surfaces in Space
Curved Surfaces in Space
0 of 31 min
13
Image of Vector-Valued Functions in Space
Vector-Valued Functions in Space
0 of 31 min
14
Image of Kepler’s Laws—The Calculus of Orbits
Kepler’s Laws—The Calculus of Orbits
0 of 30 min
15
Image of Directional Derivatives and Gradients
Directional Derivatives and Gradients
0 of 30 min
16
Image of Tangent Planes and Normal Vectors to a Surface
Tangent Planes and Normal Vectors to a Surface
0 of 28 min
17
Image of Lagrange Multipliers—Constrained Optimization
Lagrange Multipliers—Constrained Optimization
0 of 30 min
18
Image of Applications of Lagrange Multipliers
Applications of Lagrange Multipliers
0 of 29 min
19
Image of Iterated integrals and Area in the Plane
Iterated integrals and Area in the Plane
0 of 30 min
20
Image of Double Integrals and Volume
Double Integrals and Volume
0 of 29 min
21
Image of Double Integrals in Polar Coordinates
Double Integrals in Polar Coordinates
0 of 30 min
22
Image of Centers of Mass for Variable Density
Centers of Mass for Variable Density
0 of 29 min
23
Image of Surface Area of a Solid
Surface Area of a Solid
0 of 31 min
24
Image of Triple Integrals and Applications
Triple Integrals and Applications
0 of 29 min
25
Image of Triple Integrals in Cylindrical Coordinates
Triple Integrals in Cylindrical Coordinates
0 of 30 min
26
Image of Triple Integrals in Spherical Coordinates
Triple Integrals in Spherical Coordinates
0 of 29 min
27
Image of Vector Fields—Velocity, Gravity, Electricity
Vector Fields—Velocity, Gravity, Electricity
0 of 30 min
28
Image of Curl, Divergence, Line Integrals
Curl, Divergence, Line Integrals
0 of 31 min
29
Image of More Line Integrals and Work by a Force Field
More Line Integrals and Work by a Force Field
0 of 31 min
30
Image of Fundamental Theorem of Line Integrals
Fundamental Theorem of Line Integrals
0 of 31 min
31
Image of Green’s Theorem—Boundaries and Regions
Green’s Theorem—Boundaries and Regions
0 of 30 min
32
Image of Applications of Green’s Theorem
Applications of Green’s Theorem
0 of 30 min
33
Image of Parametric Surfaces in Space
Parametric Surfaces in Space
0 of 32 min
34
Image of Surface Integrals and Flux Integrals
Surface Integrals and Flux Integrals
0 of 31 min
35
Image of Divergence Theorem—Boundaries and Solids
Divergence Theorem—Boundaries and Solids
0 of 29 min
36
Image of Stokes’s Theorem and Maxwell's Equations
Stokes’s Theorem and Maxwell's Equations
0 of 33 min

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