Directed by The Great Courses

Bruce H. Edwards

Understanding Multivariable Calculus: Problems, Solutions, and Tips, taught by award-winning Professor Bruce H. Edwards, is the next step for students and professionals to expand their knowledge for work or study in many quantitative fields, as well as an intellectual exercise for teachers, retired professionals, and anyone else who wants to understand the amazing applications of 3-D calculus

Rated TVPG

Mode of access: World Wide Web

Episode 1

A Visual Introduction to 3-D Calculus

Episode 2

Functions of Several Variables

Episode 3

Limits, Continuity, and Partial Derivatives

Episode 4

Partial Derivatives - One Variable at a Time

Episode 5

Total Differentials and Chain Rules

Episode 6

Extrema of Functions of Two Variables

Episode 7

Applications to Optimization Problems

Episode 8

Linear Models and Least Squares Regression

Episode 9

Vectors and the Dot Product in Space

Episode 10

The Cross Product of Two Vectors in Space

Episode 11

Lines and Planes in Space

Episode 12

Curved Surfaces in Space

Episode 13

Vector-Valued Functions in Space

Episode 14

Kepler's Laws - The Calculus of Orbits

Episode 15

Directional Derivatives and Gradients

Episode 16

Tangent Planes and Normal Vectors to a Surface

Episode 17

Lagrange Multipliers - Constrained Optimization

Episode 18

Applications of Lagrange Multipliers

Episode 19

Iterated integrals and Area in the Plane

Episode 20

Double Integrals and Volume

Episode 21

Double Integrals in Polar Coordinates

Episode 22

Centers of Mass for Variable Density

Episode 23

Surface Area of a Solid

Episode 24

Triple Integrals and Applications

Episode 25

Triple Integrals in Cylindrical Coordinates

Episode 26

Triple Integrals in Spherical Coordinates

Episode 27

Vector Fields - Velocity, Gravity, Electricity

Episode 28

Curl, Divergence, Line Integrals

Episode 29

More Line Integrals and Work by a Force Field

Episode 30

Fundamental Theorem of Line Integrals

Episode 31

Green's Theorem - Boundaries and Regions

Episode 32

Applications of Green's Theorem

Episode 33

Parametric Surfaces in Space

Episode 34

Surface Integrals and Flux Integrals

Episode 35

Divergence Theorem - Boundaries and Solids

Episode 36

Stokes's Theorem and Maxwell's Equations