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

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78 ratings

James Bird

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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 teach you the most fundamental Linear Algebra that you will need for a career in Data Science without a ton of unnecessary proofs and concepts that you may never use. Consider this an expressway to Data Science with approachable methods and friendly concepts that will guide you to truly understanding the most important ideas in Linear Algebra.
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

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Shareable Certificate

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Coursera Labs

Includes hands on learning projects.

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Course 2 of 3 in the

Expressway to Data Science: Essential Math Specialization

Intermediate Level

Beginning algebra and basic function graphing.

Approx. 7 hours to complete

English

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What you will learn

Solve real-world problems using the foundational concept of matrices and explain where those problems might arise.
Recognize what a matrix represents in n-dimensional space and how transformations act in that space
Identify key properties of any system of equations, such as independence, basis, rank, and more, and what they mean for the overall system.
Demonstrate your understanding of projections in lower dimensions, while being able to carry out higher dimension projections for real-world problems

Skills you will gain

Derrivatives
Integrals
Algebra
Matrix Algebra
Numerical Analysis

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.

Coursera Labs

Includes hands on learning projects.

Learn more about Coursera Labs

Course 2 of 3 in the

Expressway to Data Science: Essential Math Specialization

Intermediate Level

Beginning algebra and basic function graphing.

Approx. 7 hours to complete

English

Could your company benefit from training employees on in-demand skills?

Try Coursera for Business

Instructor

Instructor rating

4.83/5 (32 Ratings)

James Bird

Instructor

Data Science & Applied Mathematics

5,294 Learners

3 Courses

Offered by

University of Colorado Boulder

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

Week1

Week 1

1 hour to complete

Linear Systems and Gaussian Elimination

1 hour to complete

13 videos (Total 74 min)

13 videos

Introduction to the Course1mLinear System and Definition3mThree Solution Options and Coordinate System Visualization3mLinear System -> Matrix (Coefficient and Augmented)4mRules of G.E. and Solving a Linear System3mG.E. Intuition and Simple Example5mG.E Example - Single Solution Part 112mG.E Example - Single Solution Part 27mG.E Example - Single Solution Part 3 + Meaning3mG.E. Example - Infinite Solutions3mG.E. Example - No Solutions7mG.E. Advanced Example - Part 17mG.E. Advanced Example - Part 210m

2 practice exercises

Practice - Linear System -> Matrix Format5mLS -> Matrix + G.E. Full Question Quiz10m

Week2

Week 2

1 hour to complete

Matrix Algebra

1 hour to complete

6 videos (Total 35 min)

Week3

Week 3

2 hours to complete

Properties of a Linear System

2 hours to complete

15 videos (Total 87 min)

15 videos

Introduction to Vectors + Coordinates7mIntroduction to Linear Combinations2mLinear Combinations2mLinear Combinations Example10mSpan5mSpan Example9mAx = b8mLinear Independence4mLinear Independence Example Part 18mLinear Independence Example Part 24mColumns of a Matrix Being Linearly Independent4mLinear Transformations3mLinear Transformations Example4mMatrix Inverse4mMatrix Inverse Example8m

3 practice exercises

Why do we use matrices and vectors and not just one?5mQuiz on Linear Independence10mQuiz on Transformations and Inverse20m

Week4

Week 4

1 hour to complete

Determinant and Eigens

1 hour to complete

8 videos (Total 51 min)

8 videos

Determinant Intro and 2x2 Example2mInverse of 2x2 Matrix - Quick Method4mDeterminant of 3x3 Matrix - Overview7mDeterminant of 3x3 Matrix - Example with 1st Row6mDeterminant of 3x3 Matrix - Example with 2nd Row7mEigenvalue and Eigenvector - Overview5mFinding Eigenvector if Given Eigenvalue8mCharacteristic Polynomic - Finding Eigenvalues7m

3 practice exercises

Find the Determinant of a 2x2 Matrix5mFind Eigenvalue then Eigenvector of a Matrix (2x2)10mFind Eigenvalue then Eigenvector of a Matrix (3x3)15m

Reviews

4.6

30 reviews

5 stars
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4 stars
8.43%
3 stars
6.02%
2 stars
1.20%
1 star
3.61%

TOP REVIEWS FROM ESSENTIAL LINEAR ALGEBRA FOR DATA SCIENCE

by EKDec 6, 2022

Great review of the essential linear algebra! Thank you!

by TAAug 11, 2022

It is a very informative course, and the coach made it simple and enjoyable.

Thank you, Dr. James, for your innovative explanation of the material.

Take this course and do not hesitate.

by LHMay 9, 2022

Well-explained and comprehensive. I thought it was going to be a rough course but Professor Bird is very thorough and concise in his lectures.

by DAAug 1, 2022

Perfect refresher course, gradually increasing in complexity and workload but James make the connections to previous content clear all the way. Highly recommended course!

View all reviews

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.

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Essential Linear Algebra for Data Science

About this Course

What you will learn

Skills you will gain