Calculus through Data & Modelling: Series and Integration
Master essential calculus concepts including sequences, series, and integration techniques with practical applications.
Master essential calculus concepts including sequences, series, and integration techniques with practical applications.
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 Integral 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
Master sequences and series convergence analysis
Understand and apply integration techniques
Utilize the Fundamental Theorem of Calculus
Solve real-world accumulation problems
Develop skills in numerical integration methods
Skills you'll gain
This course includes:
3.8 Hours PreRecorded video
6 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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There are 5 modules in this course
This comprehensive course explores advanced calculus concepts focusing on sequences, series, and integration. Students learn to analyze convergence, work with definite and indefinite integrals, and apply the Fundamental Theorem of Calculus. The curriculum covers essential topics from Riemann sums to integration techniques, with practical applications in areas like area calculation, accumulation measurement, and data analysis. Through hands-on projects, students develop skills in using various integration methods and technological tools.
Sequences and Series
Module 1 · 1 Hours to complete
The Definite Integral
Module 2 · 1 Hours to complete
The Fundamental Theorem of Calculus
Module 3 · 1 Hours to complete
The Indefinite Integral
Module 4 · 2 Hours to complete
Integration with Calculators and Tables
Module 5 · 1 Hours to complete
Fee Structure
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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