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
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(23.2) The Limit Definition of the Derivative
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(23.3) The Limit Definition of the Derivative: Example
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(23.3) The Limit Definition of the Derivative: Harder Example 1
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(23.3) The Limit Definition of the Derivative: Harder Example 2
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(23.5) Derivatives of Polynomials
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(23.4 and 23.9) Instantaneous Rate of Change and Higher Derivatives
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(23.6) The Product Rule
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(23.6) The Quotient Rule
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(23.7) The General Power Rule
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(23.7) The Chain Rule
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(23.8) Implicit Differentiation
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(24.1) Tangent and Normal Lines
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(24.2) Newton's Method
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(24.3) Curvilinear Motion: Example 1
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(24.3) Curvilinear Motion: Example 2
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(24.4) Related Rates
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(24.5) Sketching Polynomials Part 1 of 2
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Sketching Polynomials Part 2 of 2
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(24.7) Maximizing or Minimizing a Function
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(24.8) Differentials and Error
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(24.8) Linear Approximation
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(Ch. 27) Review: Trig Functions and Inverse Trig Functions Part 1 of 3
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Part 2 of 3
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Part 3 of 3
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(27.1) Derivatives of sin x and cos x
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(27.2) Derivatives of the Other Trig Functions
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(27.3) Derivatives of Inverse Trig Functions
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(Ch. 27) Review: Logarithms
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(27.5) Derivatives of Logarithmic Functions
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(27.6) Derivatives of Exponential Functions
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(27.8) Applications of Exponential and Logarithmic Functions
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(25.1) Antiderivatives
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(25.2) Indefinite Integrals
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(25.3 and 25.4) Definite Integrals and Area Under a Curve
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(25.5 and 25.6) Trapezoidal and Simpson's Rules
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(26.1) Velocity and Displacement by Integration
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(26.2) Areas by Integration
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Example of Areas by Integration
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(26.3) Disks and Shells, Part 1
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Disks and Shells, Part 2
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(26.4) Centroids by Integration
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(26.6) Calculating Work by Integration
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(16.1) Introduction to Matrices
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(16.2) Matrix Multiplication Part 1 of 2
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Matrix Multiplication Part 2 of 2
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(16.3) Inverse Matrices Part 1 of 2
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Inverse Matrices Part 2 of 2
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(16.4) Matrices and Systems of Equations
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(16.5) Gauss-Jordan Elimination Part 1 of 3
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Part 2 of 3
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Part 3 of 3
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ADDITIONAL TOPICS:
(23.1) Limits as x Goes to Infinity
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(Vector Sections 1-2) Vectors: Magnitude and Direction
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(Vector Sections 3-4) Vectors: Dot and Cross Product
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(27.4) Applications of Trig Functions: Example 1
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(27.4) Applications of Trig Functions: Example 2
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