Math 191 Optional Videos These are optional videos. They are not intended to replace the class lectures. (23.1) Limits (23.2) The Limit Definition of the Derivative (23.3) The Limit Definition of the Derivative: Example (23.3) The Limit Definition of the Derivative: Harder Example 1 (23.3) The Limit Definition of the Derivative: Harder Example 2 (23.5) Derivatives of Polynomials (23.4 and 23.9) Instantaneous Rate of Change and Higher Derivatives (23.6) The Product Rule (23.6) The Quotient Rule (23.7) The General Power Rule (23.7) The Chain Rule (23.8) Implicit Differentiation (24.1) Tangent and Normal Lines (24.2) Newton's Method (24.3) Curvilinear Motion: Example 1 (24.3) Curvilinear Motion: Example 2 (24.4) Related Rates (24.5) Sketching Polynomials Part 1 of 2     Sketching Polynomials Part 2 of 2 (24.7) Maximizing or Minimizing a Function (24.8) Differentials and Error (24.8) Linear Approximation (Ch. 27) Review: Trig Functions and Inverse Trig Functions Part 1 of 3     Part 2 of 3     Part 3 of 3 (27.1) Derivatives of sin x and cos x (27.2) Derivatives of the Other Trig Functions (27.3) Derivatives of Inverse Trig Functions (Ch. 27) Review: Logarithms (27.5) Derivatives of Logarithmic Functions (27.6) Derivatives of Exponential Functions (27.8) Applications of Exponential and Logarithmic Functions (25.1) Antiderivatives (25.2) Indefinite Integrals (25.3 and 25.4) Definite Integrals and Area Under a Curve (25.5 and 25.6) Trapezoidal and Simpson's Rules (26.1) Velocity and Displacement by Integration (26.2) Areas by Integration     Example of Areas by Integration (26.3) Disks and Shells, Part 1     Disks and Shells, Part 2 (26.4) Centroids by Integration (26.6) Calculating Work by Integration (16.1) Introduction to Matrices (16.2) Matrix Multiplication Part 1 of 2     Matrix Multiplication Part 2 of 2 (16.3) Inverse Matrices Part 1 of 2     Inverse Matrices Part 2 of 2 (16.4) Matrices and Systems of Equations (16.5) Gauss-Jordan Elimination Part 1 of 3     Part 2 of 3     Part 3 of 3 ADDITIONAL TOPICS: (23.1) Limits as x Goes to Infinity (Vector Sections 1-2) Vectors: Magnitude and Direction (Vector Sections 3-4) Vectors: Dot and Cross Product (24.6) Sketching Rational Functions Part 1 of 2     Sketching Rational Functions Part 2 of 2 (27.4) Applications of Trig Functions: Example 1 (27.4) Applications of Trig Functions: Example 2