Directed by The Great Courses

Bruce H. Edwards

This series introduces you to exciting new techniques and applications of one of the most powerful mathematical tools ever invented. Professor Bruce H. Edwards enriches these 36 episodes with crystal-clear explanations

Rated TVPG

Mode of access: World Wide Web

Episode 1

Basic Functions of Calculus and Limits

Episode 2

Differentiation Warm-up

Episode 3

Integration Warm-up

Episode 4

Differential Equations - Growth and Decay

Episode 5

Applications of Differential Equations

Episode 6

Linear Differential Equations

Episode 7

Areas and Volumes

Episode 8

Arc Length, Surface Area, and Work

Episode 9

Moments, Centers of Mass, and Centroids

Episode 10

Integration by Parts

Episode 11

Trigonometric Integrals

Episode 12

Integration by Trigonometric Substitution

Episode 13

Integration by Partial Fractions

Episode 14

Indeterminate Forms and L'Hpital's Rule

Episode 15

Improper Integrals

Episode 16

Sequences and Limits

Episode 17

Infinite Series - Geometric Series

Episode 18

Series, Divergence, and the Cantor Set

Episode 19

Integral Test - Harmonic Series, p-Series

Episode 20

The Comparison Tests

Episode 21

Alternating Series

Episode 22

The Ratio and Root Tests

Episode 23

Taylor Polynomials and Approximations

Episode 24

Power Series and Intervals of Convergence

Episode 25

Representation of Functions by Power Series

Episode 26

Taylor and Maclaurin Series

Episode 27

Parabolas, Ellipses, and Hyperbolas

Episode 28

Parametric Equations and the Cycloid

Episode 29

Polar Coordinates and the Cardioid

Episode 30

Area and Arc Length in Polar Coordinates

Episode 31

Vectors in the Plane

Episode 32

The Dot Product of Two Vectors

Episode 33

Vector-Valued Functions

Episode 34

Velocity and Acceleration

Episode 35

Acceleration's Tangent and Normal Vectors

Episode 36

Curvature and the Maximum Bend of a Curve