Young, Kelley
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- Welcome
- Class Calendars
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Resources
- Precalculus Topics
- Limits, Continuity, and Asymptotes
- Introduction to Derivatives
- Introduction to Antiderivatives
- Derivative and Integral Methods
- Characteristics of Curves
- Riemann and Trapezoidal Sums, Definite Integrals, and Average Value
- Improper Integrals, L'Hopital's Rule, and Second Fundamental Theorem
- Implicit Differentiation and Related Rates
- Parametric Equations and Vectors
- Integration by Parts and Partial Fractions
- Differential Equations: Exponential and Logistic Growth
- The Geometry of Calculus
- Polar Derivatives and Area
- Convergence and Divergence of Series
- Taylor and Maclaurin Polynomials and Series
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The videos embedded below are provided to offer support for this course. They are in the following order.
Looking at Slopes of Functions Graphically
- Looking at Graphs of Slopes
Tangent to a Curve
- Tangent to a Curve
The Definition of the Derivative
- Definition of the Derivative Part I
- Definition of the Derivative Part II: Examples
- Definition of the Derivative Part III: Differentiability
- Definition of the derivative Part IV: Trigonometry
Derivative Shortcuts
- Derivative Shortcuts
- Derivative Shortcut Examples, Set 1
- Derivative Shortcut Examples, Set 2
- Derivative Shortcut Examples, Set 3
- Derivative Shortcut Examples, Set 4
Introduction to Motion
- Motion Analyticlly with Derivatives
- Motion Analytically, Example with Derivatives and Integrals
- Motion Graphically
- Motion Graphically, Example 2
Looking at Slopes of Functions GraphicallyThe Tangent to a Curve
The Definition of the Derivative
Derivative Shortcuts
Introduction to Motion