Math 21B Classroom Videotaped Lectures

  • 1--Introduction to the Area Problem

  • 2--The Fundamental Theorem of Calculus

  • 3--The Riemann Integral and Riemann Sums

  • 4--The Riemann Integral

  • 5--The Fundamental Theorem of Calculus

  • 6--Continuous Functions and the Fundamental Theorem

  • 7--The Principle of Substitution for Definite Integrals

  • 8--Volumes of Revolution

  • 9--The Disk, Washer, and Shell Methods

  • 10--Arclength

  • 11--Surface Area of Revolution

  • 12-- Work, Force and Kinetic Energy

  • 13-- Center of Mass

  • 14-- Center of Mass (cont)

  • 15--Introduction to the Logarithm

  • 16--Using Calculus to Define the Logarithm

  • 17--Exponential Growth and the Method of Separation of Variables

  • 18--Hyperbolic Trig Functions

  • 19--Integration by Parts

  • 20--Methods of Integration for Trig Functions

  • 21--Method of Partial Fractions

  • 22--Trapezoidal Rule vs Simpson's Method

  • 23--Indefinite Integrals

  • 24--Parameterized Curves

  • 25--Polar Coordinates

  • 26--Graphing in Polar Coordinates