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