Integral Calculus and Numerical Analysis for Data Science

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Integral Calculus and Numerical Analysis for Data Science

This course is part of Expressway to Data Science: Essential Math Specialization

Instructors: James Bird

7,260 already enrolled

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4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Recommended experience

4 hours to complete

Flexible schedule

Learn at your own pace

Prepare for a degree

Learn more

4 modules

Gain insight into a topic and learn the fundamentals.

Intermediate level

Recommended experience

4 hours to complete

Flexible schedule

Learn at your own pace

Prepare for a degree

Learn more

What you'll learn

Practice integrating by parts for more complex problems.
Identify how bisection works after its given an initial guess.
Diagonalize a matrix by hand.
Compute the partial derivatives of a function.

Skills you'll gain

Details to know

Shareable certificate

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Assessments

8 assignments

Taught in English

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This course is part of the Expressway to Data Science: Essential Math Specialization

When you enroll in this course, you'll also be enrolled in this Specialization.

Learn new concepts from industry experts
Gain a foundational understanding of a subject or tool
Develop job-relevant skills with hands-on projects
Earn a shareable career certificate

There are 4 modules in this course

Are you interested in Data Science but lack the math background for it? Has math always been a tough subject that you tend to avoid? This course will provide an intuitive understanding of foundational integral calculus, including integration by parts, area under a curve, and integral computation. It will also cover root-finding methods, matrix decomposition, and partial derivatives.

Explore the notion of area under a curve, how that relates to the integral and compute basic integrals.

What's included

5 videos2 readings4 assignments

5 videosTotal 23 minutes

Integrals and Area under the Curve8 minutes
Fundamental Theorem of Calculus and Computing Simple Integrals5 minutes
Computing Area bounded by Lines and Curves3 minutes
Indefinite Integrals2 minutes
Integration by Parts5 minutes

2 readingsTotal 11 minutes

Course Updates and Accessibility Support1 minute
Where to Find Help10 minutes

4 assignmentsTotal 50 minutes

Integral and Area under the Curve Quiz5 minutes
Fundamental Theorem of Calculus and Computing Simple Integrals Quiz20 minutes
Computing Area bounded by Lines and Curves Quiz10 minutes
Integration by Parts Quiz15 minutes

Introduction to Numerical Analysis using 2 root-finding methods.

What's included

2 videos2 assignments

Explore general matrix decomposition, as well as a specialized and useful version called Singular Value Decomposition.

What's included

7 videos1 assignment

We will learn a core calculus concept called partial derivatives, as well as delving into directional derivatives and their usefulness in higher level statistics.

What's included

5 videos1 assignment

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Prepare for a degree

Taking this course by University of Colorado Boulder may provide you with a preview of the topics, materials and instructors in a related degree program which can help you decide if the topic or university is right for you.

Instructors

James Bird

University of Colorado Boulder

3 Courses18,533 learners

Offered by

University of Colorado Boulder

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Frequently asked questions

To access the course materials, assignments and to earn a Certificate, you will need to purchase the Certificate experience when you enroll in a course. You can try a Free Trial instead, or apply for Financial Aid. The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

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