Below is the complete list of videos we have created at the college. This list exists mainly for archival purposes - all these videos are integrated on their corresponding topic pages, which you can also find by searching for the tag “champlain-video”.
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1.2.1 Introduction to the concept of limits (duration: 9m30s, appears here)
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1.2.2 Evaluating limits using a graph (duration: 9m52s, appears here)
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1.4.1 Finding the derivative of a function given its graph (duration: 7m40s, appears here)
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1.7.1 Properties of continuous functions (duration: 10m23s, appears here)
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1.7.2 Limits of a piecewise function (duration: 6m39s, appears here)
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1.7.3 Determining continuity of a piecewise function (duration: 7m1s, appears here)
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2.1.6 Simplifying before differentiating (duration: 5m1s, appears here)
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2.3.1 (commerce) Introduction to the Product Rule (duration: 6m25s, appears here)
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2.3.2 (commerce) Applying the Product Rule Using Graphical Representation of Functions (duration: 6m50s, appears here)
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2.4.1 Trigonometric functions and their derivatives (duration: 11m41s, appears here):
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2.5.1 Chain rule versions of differentiation rules (duration: 13m, appears here)
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2.5.2 (commerce) Chain Rule u-notation (duration: 9m28s, appears here)
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2.5.3 (commerce) Combining the Chain Rule with the Product or the Quotient Rule (duration: 4m13s, appears here)
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2.5.8 Applied example (tides) involving the differentiation of a trigonometric function (duration: 10m35s, appears here)
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2.6.1 Inverse Functions (duration: 12m29s, appears here)
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2.6.2 The derivative of inverse functions (duration: 14m56s, appears here)
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2.6.4 The Derivative of the Natural Logarithmic Function (duration: 9m40s, appears here)
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2.7.1 Implicit differentiation - Part 1 (duration: 12m38s, appears here)
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2.7.2 Implicit differentiation - Part 2 (duration: 5m43s, appears here)
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2.8.1 Indeterminate products (duration: 9m8s, appears here)
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2.8.1(b) An Introduction to l’Hopital’s Rule with a Graphical Approach (duration: 10m53s, appears here)
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2.8.2 Indeterminate powers (duration: 5m5s, appears here and here):
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2.8.4. Applying l’Hopital’s Rule and limits of the form 0 x infinity (duration: 9m10s, appears here)
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2.8.5 Finding Horizontal Asymptotes With or Without l’Hopital’s Rule (duration: 6m17s, appears here)
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2.9.1 Using conjugates to evaluate limits (duration: 7m40s, appears here)
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2.9.2 The limit of a composite function (duration: 4m7s, appears here)
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2.9.3 Composite functions, continuity, and limits (duration: 5m15s, appears here)
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3.1.1 The second derivative test (duration: 8m59s, appears here)
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3.2.4 Graphing Families of functions Using an Optimization Problem (duration: 18m29s, appears here)
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3.3.1 Rolle’s theorem and the mean value theorem (duration: 9m33s, appears here)
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3.3.4 Global Optimization on a Closed Interval (duration: 4m28s, appears here)
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3.3.5 Global Optimization Example: Maximizing Revenues (duration: 2m3s, appears here)
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3.3.6 Global Optimization Example: Maximizing Area (duration: 4m28s, appears here)
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3.3.7 Optimization on an Open Interval - Strategies (duration: 4m44s, appears here)
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3.3.8 Optimization on an Open Interval - Applying Different Strategies on an Example (duration: 7m19s, appears here)
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3.4.1 Optimization : fencing problem (duration: 12m4s, appears here)
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3.4.4 (commerce) Optimization with two variables for commerce students (duration: 6m36s, appears here)
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9.1.1 The Cost, Revenue, and Profit Functions (duration: 5m59s, appears here)
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9.1.2 The Marginal Cost Function and Interpreting the Derivative (duration: 7m2s, appears here)
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9.1.3 Introduction to Elasticity of Demand and its Interpretation (duration: 13m7s, appears here)
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9.1.4 Elasticity of Demand and Maximizing Revenues (duration: 8m18s, appears here)
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9.1.5. Related Rates and Implicit differentiation (duration: 9m48s, appears here)