Calculus through Data & Modeling: Applying Differentiation
As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. We will also use the derivative to locate the maximum and minimum values of a function. These optimization techniques are important for all fields, including the natural sciences and data analysis.
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- Level Professional
- Duration 7 hours
- Course by Johns Hopkins University
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Offered by
About
As rates of change, derivatives give us information about the shape of a graph. In this course, we will apply the derivative to find linear approximations for single-variable and multi-variable functions. This gives us a straightforward way to estimate functions that may be complicated or difficult to evaluate. We will also use the derivative to locate the maximum and minimum values of a function. These optimization techniques are important for all fields, including the natural sciences and data analysis. The topics in this course lend themselves to many real-world applications, such as machine learning, minimizing costs or maximizing profits.Modules
Linear Approximations and Tangent Planes
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2
Videos
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2
Readings
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1
Assignment
1
Assignment
- Linear Approximations and Tangent Planes
2
Videos
- Linear Approximation
- Tangent Planes and Multivariable Linear Approximation
2
Readings
- Notes: Linear Approximation and Tangent Planes
- Sample Problems: Linear Approximation and Tangent Planes
Maxima and Minima of Single-Variable Functions
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2
Videos
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2
Readings
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1
Assignment
1
Assignment
- Maxima and Minima of Single-Variable Functions
2
Videos
- Maxima and Minima of Single-Variable Functions
- How Derivatives Affect the Shape of a Graph
2
Readings
- Notes: Maxima and Minima of Single-Variable Functions
- Sample Problems: Extrema of Single Variable Functions
Maxima and Minima of Multivariable Functions
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1
Videos
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2
Readings
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1
Assignment
1
Assignment
- Maxima and Minima of Multivariable Functions
1
Videos
- Maxima and Minima of Multivariable Functions
2
Readings
- Notes: Maxima and Minima of Multivariable Functions
- Sample Problems: Extrema of Multivariable Functions
Lagrange Multipliers
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1
Videos
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2
Readings
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1
Assignment
1
Assignment
- Lagrange Multipliers
1
Videos
- Lagrange Multipliers
2
Readings
- Notes: Lagrange Multipliers
- Sample Problems: Lagrange Multipliers
Final Project - Optimization
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1
PeerReview
1
Peer Review
- Construction Cost Optimization
Auto Summary
Explore the power of derivatives in "Calculus through Data & Modeling: Applying Differentiation," a comprehensive course by Coursera. Delve into linear approximations, optimization techniques, and their real-world applications in fields like machine learning and data analysis. Ideal for professionals, this 420-minute course offers Starter and Professional subscription options. Join to enhance your mathematical skills and apply them effectively in various domains.
Joseph W. Cutrone, PhD