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Lecture 12 of 37

Curved Surfaces in Space

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Section 1: Course Curriculum37 videos

Functions of Several Variables

1h 30m

Limits, Continuity, and Partial Derivatives

1h 30m

A Visual Introduction to 3-D Calculus

1h 30m

Partial Derivatives-One Variable at a Time

1h 30m

Total Differentials and Chain Rules

1h 30m

Extrema of Functions of Two Variables

1h 30m

Applications to Optimization Problems

1h 30m

Linear Models and Least Squares Regression

1h 30m

Vectors and the Dot Product in Space

1h 30m

The Cross Product of Two Vectors in Space

1h 30m

Lines and Planes in Space

1h 30m

Curved Surfaces in Space

1h 30mNow Playing

Vector-Valued Functions in Space

1h 30m

Kepler's Laws-The Calculus of Orbits

1h 30m

Directional Derivatives and Gradients

1h 30m

Tangent Planes and Normal Vectors to a Surface

1h 30m

Lagrange Multipliers-Constrained Optimization

1h 30m

Applications of Lagrange Multipliers

1h 30m

Iterated integrals and Area in the Plane

1h 30m

Double Integrals and Volume

1h 30m

Double Integrals in Polar Coordinates

1h 30m

Centers of Mass for Variable Density

1h 30m

Surface Area of a Solid

1h 30m

Triple Integrals and Applications

1h 30m

Triple Integrals in Cylindrical Coordinates

1h 30m

Triple Integrals in Spherical Coordinates

1h 30m

Vector Fields-Velocity, Gravity, Electricity

1h 30m

Curl, Divergence, Line Integrals

1h 30m

More Line Integrals and Work by a Force Field

1h 30m

Fundamental Theorem of Line Integrals

1h 30m

Green's Theorem-Boundaries and Regions

1h 30m

Applications of Green's Theorem

1h 30m

Surface Integrals and Flux Integrals

1h 30m

Parametric Surfaces in Space

1h 30m

Divergence Theorem-Boundaries and Solids

1h 30m

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9m

Stokes's Theorem and Maxwell's Equations

1h 30m