Calculus through Data & Modelling: Series and Integration
- Offered byCoursera
Calculus through Data & Modelling: Series and Integration at Coursera Overview
Duration | 9 hours |
Start from | Start Now |
Total fee | Free |
Mode of learning | Online |
Difficulty level | Intermediate |
Official Website | Explore Free Course  |
Credential | Certificate |
Calculus through Data & Modelling: Series and Integration at Coursera Highlights
- Shareable Certificate Earn a Certificate upon completion
- 100% online Start instantly and learn at your own schedule.
- Course 1 of 4 in the Integral Calculus through Data and Modeling Specialization
- Flexible deadlines Reset deadlines in accordance to your schedule.
- Intermediate Level
- Approx. 9 hours to complete
- English Subtitles: English
Calculus through Data & Modelling: Series and Integration at Coursera Course details
- This course continues your study of calculus by introducing the notions of series, sequences, and integration. These foundational tools allow us to develop the theory and applications of the second major tool of calculus: the integral. Rather than measure rates of change, the integral provides a means for measuring the accumulation of a quantity over some interval of input values. This notion of accumulation can be applied to different quantities, including money, populations, weight, area, volume, and air pollutants. The concepts in this course apply to many other disciplines outside of traditional mathematics. Through projects, we will apply the tools of this course to analyze and model real world data, and from that analysis give critiques of policy.
- Following the pattern as with derivatives, several important methods for calculating accumulation are developed. Our course begins with the study of the deep and significant result of the Fundamental Theorem of Calculus, which develops the relationship between the operations of differentiation and integration. If you are interested in learning more advanced mathematics, this course is the right course for you.
Calculus through Data & Modelling: Series and Integration at Coursera Curriculum
Module 1: Sequences and Series
Sequences
Series
Examples Determining Convergence and Divergence of Series
Notes: Sequences and Series
Sequences and Series
Module 2: The Definite Integral
Areas Under Curves
Area Under a Line
Finding Distances
The Definite Integral
Properties of the Definite Integral
Notes: The Definite Integral
The Definite Integral
Module 3: The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus, Part 1
The Fundamental Theorem of Calculus, Part 2
Notes: The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus
Module 4: The Indefinite Integral
Indefinite Integrals
Worked Examples
A Calc I/II Problem
The Substitution Rule
Definite Integrals of Symmetric Functions
Notes: The Indefinite Integral
Notes: Integration by Substitution
Indefinite Integrals
Integration by Substitution
Integration with Calculators and Tables
Tables of Integrals
Integration with Websites
Integration with Calculators
Calculus through Data & Modelling: Series and Integration at Coursera Admission Process
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