Calculus through Data & Modeling: Applying Differentiation
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Course Summary
This course teaches Calculus through real-world applications and modeling, with a focus on differentiation. Students will learn how to use calculus to analyze and solve problems in fields such as economics, biology, and engineering.Key Learning Points
- Learn calculus through practical, real-world examples and applications
- Focus on differentiation and its applications in various fields
- Develop problem-solving skills for a range of industries and situations
Related Topics for further study
Learning Outcomes
- Apply calculus to analyze and solve problems in various fields
- Develop skills in differentiation and its applications
- Improve problem-solving skills
Prerequisites or good to have knowledge before taking this course
- Basic knowledge of algebra and calculus
- Familiarity with Microsoft Excel
Course Difficulty Level
IntermediateCourse Format
- Online
- Self-paced
- Video lectures
- Real-world examples
Similar Courses
- Calculus: Single Variable
- Calculus: Multivariable
- Calculus: Integration
Notable People in This Field
- Grant Sanderson
- 3Blue1Brown
Related Books
Description
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.
Outline
- Linear Approximations and Tangent Planes
- Linear Approximation
- Tangent Planes and Multivariable Linear Approximation
- Notes: Linear Approximation and Tangent Planes
- Sample Problems: Linear Approximation and Tangent Planes
- Linear Approximations and Tangent Planes
- Maxima and Minima of Single-Variable Functions
- Maxima and Minima of Single-Variable Functions
- How Derivatives Affect the Shape of a Graph
- Notes: Maxima and Minima of Single-Variable Functions
- Sample Problems: Extrema of Single Variable Functions
- Maxima and Minima of Single-Variable Functions
- Maxima and Minima of Multivariable Functions
- Maxima and Minima of Multivariable Functions
- Notes: Maxima and Minima of Multivariable Functions
- Sample Problems: Extrema of Multivariable Functions
- Maxima and Minima of Multivariable Functions
- Lagrange Multipliers
- Lagrange Multipliers
- Notes: Lagrange Multipliers
- Sample Problems: Lagrange Multipliers
- Lagrange Multipliers
- Final Project - Optimization
Summary of User Reviews
Discover calculus through data and modeling in this dynamic online course. Students praise the engaging teaching style and real-world applications of the course material.Key Aspect Users Liked About This Course
Real-world applications of calculusPros from User Reviews
- Engaging teaching style
- Real-world examples with practical applications
- Clear explanations of complex concepts
- Interactive exercises to reinforce learning
Cons from User Reviews
- Some users found the course too fast-paced
- Limited interaction with instructors
- Not suitable for those without prior calculus knowledge
- Some technical issues reported with the online platform
AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC
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Master the most difficult topics in your AP® Calculus AB & Calculus BC courses. Topics include: AB/BC: Limits AB/BC: Definition of Derivative...
Calculus through Data & Modeling: Applying Differentiation
- 0.0
-
![]()
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As rates of change, derivatives give us information about the shape of a graph. We will also use the derivative to locate the maximum and minimum values of a function....
