Calculus through Data & Modeling: Applying Differentiation
This course is part of Differential Calculus through Data and Modeling.
This course cannot be purchased separately - to access the complete learning experience, graded assignments, and earn certificates, you'll need to enroll in the full Differential Calculus through Data and Modeling Specialization program. You can audit this specific course for free to explore the content, which includes access to course materials and lectures. This allows you to learn at your own pace without any financial commitment.
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What you'll learn
Apply derivatives to linear approximation problems
Master optimization techniques for single-variable functions
Solve multivariable optimization challenges
Use Lagrange multipliers for constrained problems
Apply calculus to real-world optimization scenarios
Skills you'll gain
This course includes:
2.2 Hours PreRecorded video
4 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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Get a Completion Certificate
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There are 5 modules in this course
This comprehensive course focuses on practical applications of differential calculus, particularly in optimization and modeling. Students learn to use derivatives for linear approximations, find maxima and minima of both single and multivariable functions, and apply Lagrange multipliers for constrained optimization. The curriculum emphasizes real-world applications in fields like machine learning, economics, and business, culminating in a practical construction cost optimization project.
Linear Approximations and Tangent Planes
Module 1 · 1 Hours to complete
Maxima and Minima of Single-Variable Functions
Module 2 · 1 Hours to complete
Maxima and Minima of Multivariable Functions
Module 3 · 1 Hours to complete
Lagrange Multipliers
Module 4 · 1 Hours to complete
Final Project - Optimization
Module 5 · 1 Hours to complete
Fee Structure
Individual course purchase is not available - to enroll in this course with a certificate, you need to purchase the complete Professional Certificate Course. For enrollment and detailed fee structure, visit the following: Differential Calculus through Data and Modeling
Instructor
Associate Teaching Professor and Director of Online Programs at Johns Hopkins University
Dr. Joseph W. Cutrone is an Associate Teaching Professor and the Director of Online Programs at Johns Hopkins University, where he specializes in mathematics education. He earned his PhD in Mathematics from Johns Hopkins University, with research interests focused on higher-dimensional algebraic geometry. Since 2006, Dr. Cutrone has taught mathematics at various levels, both online and in traditional classroom settings, holding positions at Johns Hopkins, Northwestern University, Towson University, and Goucher College. His commitment to education is reflected in his extensive teaching portfolio, which includes courses such as Algebra, Applied Calculus with Python, and Linear Algebra. Dr. Cutrone is also active in online education, contributing to platforms like Coursera. His scholarly work includes several publications on topics related to algebraic geometry and has been recognized for its impact within the mathematical community.
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