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

James Bird +1 more instructor

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Part of the Master of Science in Data Science degree

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Expressway to Data Science: Essential Math SpecializationUniversity of Colorado Boulder

About this Course

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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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Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 3 of 3 in the

Expressway to Data Science: Essential Math Specialization

Intermediate Level

Beginning algebra and basic function graphing.

Approx. 4 hours to complete

English

Subtitles: English

What you will 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 will gain

Singular Value Decomposition (SVD)
root-finding
Integrals
Partial Derivative
matrix diagonalization

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 3 of 3 in the

Expressway to Data Science: Essential Math Specialization

Intermediate Level

Beginning algebra and basic function graphing.

Approx. 4 hours to complete

English

Subtitles: English

Instructors

James Bird

Instructor

Data Science & Applied Mathematics

1,829 Learners

3 Courses

Jane Wall

Faculty Director of Data Science Programs

Data Science Programs

4,419 Learners

6 Courses

Offered by

University of Colorado Boulder

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.

Start working towards your Master's degree

This course is part of the 100% online Master of Science in Data Science from University of Colorado Boulder. If you are admitted to the full program, your courses count towards your degree learning.

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Syllabus - What you will learn from this course

Week

Week 1

1 hour to complete

Area Under The Curve

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

1 hour to complete

5 videos (Total 23 min), 1 reading, 4 quizzes

5 videos

Integrals and Area under the Curve8m

Fundamental Theorem of Calculus and Computing Simple Integrals4m

Computing Area bounded by Lines and Curves3m

Indefinite Integrals1m

Integration by Parts4m

1 reading

Where to Find Help10m

4 practice exercises

Integral and Area under the Curve Quiz5m

Fundamental Theorem of Calculus and Computing Simple Integrals Quiz20m

Computing Area bounded by Lines and Curves Quiz10m

Integration by Parts Quiz15m

Week

Week 2

26 minutes to complete

Numerical Analysis Intro

Introduction to Numerical Analysis using 2 root-finding methods.

26 minutes to complete

2 videos (Total 16 min)

Week

Week 3

1 hour to complete

Diagonalization & SVD

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

1 hour to complete

7 videos (Total 37 min)

Week

Week 4

1 hour to complete

Partial Derivatives & Steepest Descent

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

1 hour to complete

5 videos (Total 36 min)

About the Expressway to Data Science: Essential Math Specialization

Data Science is growing rapidly, creating opportunities for careers across a variety of fields. This specialization is designed for learners embarking on careers in Data Science. Learners are provided with a concise overview of the foundational mathematics that are critical in Data Science. Topics include algebra, calculus, linear algebra, and some pertinent numerical analysis. Expressway to Data Science is also an excellent primer for students preparing to complete CU Boulder’s Master of Science in Data Science program.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. 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.
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. If you only want to read and view the course content, you can audit the course for free.
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.

More questions? Visit the Learner Help Center.

Integral Calculus and Numerical Analysis for Data Science