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Math 148: Elements of Calculus

Video Explanations with Dana Moseley courtesy of Houghton Mifflin

Section 9.1

Section 9.1 Video Explanation 1
Find limits of functions graphically and numerically

 

Section 9.1 Video Explanation 2
Use the properties of limits to evaluate limits of functions

 

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Section 9.1 Video Explanation 3
Limits of Polynomial and Rational Functions

 

Section 9.2 

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Section 9.2 Video Explanation 1
Continuous and Discontinuous Functions

 

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Section 9.2 Video Explanation 2
Limits at Infinity

 

Section 9.3

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Section 9.3 Video Explanation 1
Use the limit definition to find the derivatives of functions

 

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Section 9.3 Video Explanation 2
Use the limit definition to find the slopes of graphs at points

 

Section 9.4

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Section 9.4 Video Explanation 1
Find derivatives using the General Power Rule

 

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Section 9.4 Video Explanation 2
Find derivatives using the General Power Rule

 

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Section 9.4 Video Explanation 3
Find derivatives using the Constant Rule

 

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Section 9.4 Video Explanation 4
Find the derivatives of functions using the Constant Multiple Rule

 

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Section 9.4 Video Explanation 5
Find the derivatives of functions using the Sum and Difference Rules

 

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Section 9.4 Video Explanation 6
Use derivatives to answer questions about real-life situations

 

Section 9.5

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Section 9.5 Video Explanation 1
Find the derivatives of functions using the Product Rule

 

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Section 9.5 Video Explanation 2
Find the derivatives of functions using the Quotient Rule

 

Section 9.6

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Section 9.6 Video Explanation 1
Find derivatives using the Chain Rule

 

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Section 9.6 Video Explanation 2
Find derivatives using the Chain Rule

 

Section 9.7

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Section 9.7 Video Explanation 1
Combining Differentiation Rules-A

 

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Section 9.7 Video Explanation 2
Combining Differentiation Rules -B

 

Section 9.8

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Section 9.8 Video Explanation 1
Find higher-order derivatives

Section 9.9

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Section 9.9 Video Explanation 1
Finding Marginal Revenue

 

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Section 9.9 Video Explanation 2
Finding Marginal Cost

 

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Section 9.9 Video Explanation 3
Marginal Profit and Maximizing Profit

 

Section 10.1

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Section 10.1 Video Explanation 1
Find relative minima and relative maxima

 

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Section 10.1 Video Explanation 2
Finding Relative Maxima and Minima-A

 

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Section 10.1 Video Explanation 3
Finding Relative Maxima and Minima-B

 

Section 10.2

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Section 10.2 Video Explanation 1
Find the points of inflection of the graphs of functions

Section 10.3

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Section 10.3 Video Explanation 1
Find absolute extrema of continuous functions on a closed interval

 

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Section 10.3 Video Explanation 2
Find absolute extrema of continuous functions on a closed interval

 

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Section 10.3 Video Explanation 3
Solve business and economics optimization problems

 

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Section 10.3 Video Explanation 4
Maximizing a Revenue Function

 

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Section 10.3 Video Explanation 5
Minimizing Average Cost Function

 

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Section 10.3 Video Explanation 6
Maximizing Profit Given Revenue and Cost Functions

 

Section 10.4

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Section 10.4 Video Explanation 1
Minimizing Cost of Building a Fence-A

 

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Section 10.4 Video Explanation 2
Minimizing Cost of Building a Fence-B

 

Section 10.5

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Section 10.5 Video Explanation 1
Find the vertical asymptotes of functions and find infinite limits

 

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Section 10.5 Video Explanation 2
Find the horizontal asymptotes of functions and find limits at infinity

 

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Section 10.5 Video Explanation 3
Find the horizontal asymptotes of functions and find limits at infinity

 

Section 11.1

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Section 11.1 Video Explanation 1
Derivative of the natural logarithmic function

 

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Section 11.1 Video Explanation 2
Logarithmic properties as aids to differentiation

 

Section 11.2

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Section 11.2 Video Explanation 1
Derivatives of natural exponential functions

 

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Section 11.2 Video Explanation 2
Derivatives of exponential functions with bases other than e

 

No videos for 11.5

Section 12.1

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Section 12.1 Video Explanation 1
Evaluation of indefinite integrals

Section 12.2

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Section 12.2 Video Explanation 1
Use the General Power Rule to find indefinite integrals

Section 12.3

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Section 12.3 Video Explanation 1
Use the Exponential Rule to find indefinite integrals

 

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Section 12.3 Video Explanation 2
Integrals of Logarithmic Functions

 

Section 12.4

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Section 12.4 Video Explanation 1
Using integrals to go from Marginal Cost to Cost

 

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Section 12.4 Video Explanation 2
Maximizing Profit from Marginal Revenue and Marginal Cost - A

 

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Section 12.4 Video Explanation 3
Maximizing Profit from Marginal Revenue and Marginal Cost - B

 

Section 13.1

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Section 13.1 Video Explanation 1
Area on an interval under a curve

 

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Section 13.1 Video Explanation 2
Using Sigma Notation

 

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Section 13.1 Video Explanation 3
Area from Riemann Sums - A

 

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Section 13.1 Video Explanation 4
Area from Riemann Sums - B

 

Section 13.2

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Section 13.2 Video Explanation 1
Evaluate definite integrals using the Fundamental Theorem of Calculus

 

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Section 13.2 Video Explanation 2
Area and the Fundamental Theorem of Calculus

 

Section 13.3

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Section 13.3 Video Explanation 1
Finding distance between ponts on the real number line

 

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Section 13.3 Video Explanation 2
Solving an equation with a fractional exponent

 

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Section 13.3 Video Explanation 3
Find area between two crossing curves- an overview

 

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Section 13.3 Video Explanation 4
Find the average values of functions over closed intervals

 

Section 13.4

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Section 13.4 Video Explanation 1
Total Income from a Continuous Income Stream

 

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Section 13.4 Video Explanation 2
Using Integrals to Compute Present Value

 

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Section 13.4 Video Explanation 3
Using Integrals to Find Consumer Surplus

 

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Section 13.4 Video Explanation 4
Using Integrals to Find Producer Surplus