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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.
This course is designed to prepare learners to successfully complete Statistical Modeling for Data Science Application, which is part of CU Boulder's Master of Science in Data Science (MS-DS) program.
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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
Show info about module content
5 videos•Total 23 minutes
Integrals and Area under the Curve•8 minutes
Fundamental Theorem of Calculus and Computing Simple Integrals•5 minutes
Computing Area bounded by Lines and Curves•3 minutes
Indefinite Integrals•2 minutes
Integration by Parts•5 minutes
2 readings•Total 11 minutes
Course Updates and Accessibility Support•1 minute
Where to Find Help•10 minutes
4 assignments•Total 50 minutes
Integral and Area under the Curve Quiz•5 minutes
Fundamental Theorem of Calculus and Computing Simple Integrals Quiz•20 minutes
Computing Area bounded by Lines and Curves Quiz•10 minutes
Integration by Parts Quiz•15 minutes
Numerical Analysis Intro
Module 2•26 minutes to complete
Module details
Introduction to Numerical Analysis using 2 root-finding methods.
What's included
2 videos2 assignments
Show info about module content
2 videos•Total 16 minutes
Root-finding using Bisection Method•6 minutes
Root-finding using Newton's Method•9 minutes
2 assignments•Total 10 minutes
Simple bisection method for root-finding Quiz•5 minutes
Newton's method for root-finding Quiz•5 minutes
Diagonalization & SVD
Module 3•1 hour to complete
Module details
Explore general matrix decomposition, as well as a specialized and useful version called Singular Value Decomposition.
What's included
7 videos1 assignment
Show info about module content
7 videos•Total 37 minutes
Diagonalization Introduction•3 minutes
Diagonalization•5 minutes
Diagonalization Example 3x3•4 minutes
Symmetric Matrix•3 minutes
Diagonalization of Symmetric Matrix 3x3•6 minutes
Singular Value Decomposition Overview•7 minutes
Singular Value Decomposition Example•8 minutes
1 assignment•Total 15 minutes
Diagonalization of a 3x3 Matrix Quiz•15 minutes
Partial Derivatives & Steepest Descent
Module 4•1 hour to complete
Module details
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
Show info about module content
5 videos•Total 36 minutes
Partial Derivatives Introduction•4 minutes
Partial Derivatives examples, Part I•8 minutes
Partial Derivatives examples, Part II•9 minutes
Directional Derivatives with example•6 minutes
Gradient Vectors & Steepest Descent•9 minutes
1 assignment•Total 15 minutes
Partial Derivatives Quiz•15 minutes
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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.
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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.
CU Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
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What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.