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Linear Algebra and Regression Fundamentals for Data Science

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Linear Algebra and Regression Fundamentals for Data Science

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Gain insight into a topic and learn the fundamentals.
Beginner level
No prior experience required
2 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Build toward a degree

Gain insight into a topic and learn the fundamentals.
Beginner level
No prior experience required
2 weeks to complete
at 10 hours a week
Flexible schedule
Learn at your own pace
Build toward a degree

What you'll learn

  • Master vector and matrix arithmetic, and eigen calculations using NumPy for data science tasks.

  • Solve linear equations, and invert matrices using Python’s Pandas for efficient data handling.

  • Implement ordinary least squares regression to fit linear models, and predict data trends.

  • Visualize data effectively using Python libraries for insightful data analysis and presentation.

Details to know

Shareable certificate

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Assessments

6 assignments

Taught in English

Build your subject-matter expertise

This course is part of the Mathematical Foundations for Data Science and Analytics 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 3 modules in this course

Unlock essential mathematical skills with "Linear Algebra and Regression Fundamentals for Data Science" , which sets the foundation for advanced data science studies. This comprehensive program emphasizes practical application over theoretical concepts, ensuring you gain hands-on experience with Python and its powerful libraries.

Begin by mastering linear algebra concepts, where you'll learn to perform vector arithmetic and matrix operations, and calculate eigenvectors and eigenvalues using NumPy. Understand how these principles are crucial for data science tasks, from data manipulation to complex computations involving large datasets. Progress to solving systems of linear equations with backsolving techniques and matrix inversion, utilizing Python’s Pandas package for efficient data handling. Explore how these methods are applied in real-world scenarios, ensuring a practical understanding of linear systems and their significance in data analysis. Advance your skills with ordinary least squares (OLS) regression, learning to fit linear models to data using probabilistic techniques and matrix transposition. The course will guide you through using regression analysis to interpret and predict data trends, making it a vital tool for any data scientist. Through practical assignments and real-world projects, you will apply linear algebra and regression techniques to solve complex problems, visualize data, and draw meaningful insights. By the end of this course, you will possess a solid foundation in the essential mathematical skills required for advanced data science, empowering you to leverage Python for effective data analysis and decision-making.

This module introduces the format of content for future modules. We will cover the basics of linear algebra starting from introducing vectors and matrices and ending with calculating matrix eigenvectors and eigenvalues.

What's included

13 videos5 readings2 assignments1 programming assignment

13 videosβ€’Total 119 minutes
  • Welcome to Linear Algebra and Regression Fundamentals for Data Scienceβ€’3 minutes
  • Under the Hoodβ€’5 minutes
  • M1 Lecture 1: What Are Linear Equations?β€’12 minutes
  • M1 Lecture 2: Linear Planeβ€’5 minutes
  • M1 Lecture 3: What are Vectors?β€’13 minutes
  • M1 Lecture 4: Physics - Vectorsβ€’6 minutes
  • M1 Lecture 5: Vector - Dot Productβ€’11 minutes
  • M1 Lecture 6: Vector Programmingβ€’11 minutes
  • M1 Lecture 7: Matricesβ€’13 minutes
  • M1 Lecture 8: Eigenspaceβ€’5 minutes
  • M1 Lecture 9: Finding Eigenvectorsβ€’20 minutes
  • M1 Lecture 10: Programming Matricesβ€’7 minutes
  • M1 Lecture 11: Example - Eigenfaces and Data Compressionβ€’7 minutes
5 readingsβ€’Total 50 minutes
  • Course Overviewβ€’10 minutes
  • Technical Supportβ€’10 minutes
  • Navigation Helpβ€’10 minutes
  • M1 Jupyter Notebook Slidesβ€’10 minutes
  • How to Complete the Programming Assignmentsβ€’10 minutes
2 assignmentsβ€’Total 45 minutes
  • Test Yourself: Linear Algebraβ€’30 minutes
  • Let's Practice: Linear Algebraβ€’15 minutes
1 programming assignmentβ€’Total 180 minutes
  • Lab Homework: Linear Algebraβ€’180 minutes

This module extends ideas from linear algebra to solve problems involving systems of linear equations.

What's included

5 videos1 reading2 assignments1 programming assignment

5 videosβ€’Total 51 minutes
  • M2 Lecture 1: Systems of Linear Equationsβ€’10 minutes
  • M2 Lecture 2: Backsolving and Inverting Matricesβ€’10 minutes
  • M2 Lecture 3: Perils in Backsolvingβ€’7 minutes
  • M2 Lecture 4: Python Programming and Inverting Matricesβ€’17 minutes
  • M2 Lecture 5: Backsolving Example - Gravitational Lensingβ€’7 minutes
1 readingβ€’Total 10 minutes
  • M2 Jupyter Notebook Slidesβ€’10 minutes
2 assignmentsβ€’Total 45 minutes
  • Test Yourself: Linear Systemsβ€’30 minutes
  • Let's Practice: Linear Systemsβ€’15 minutes
1 programming assignmentβ€’Total 180 minutes
  • Lab Homework: Linear Systemsβ€’180 minutes

This module extends backsolving techniques for use in problems involving linear regression.

What's included

5 videos1 reading2 assignments1 programming assignment

5 videosβ€’Total 72 minutes
  • M3 Lecture 1: Failure to Backsolveβ€’7 minutes
  • M3 Lecture 2: Solving Overdetermined Linear Systems with Matrix Transposeβ€’15 minutes
  • M3 Lecture 3: Solving Linear Systems Probabilistically with OLSβ€’17 minutes
  • M3 Lecture 4: Fitting Linear Equations to Dataβ€’14 minutes
  • M3 Lecture 5: Regression Example - Home Sales and Amenitiesβ€’19 minutes
1 readingβ€’Total 10 minutes
  • M3 Jupyter Notebook Slidesβ€’10 minutes
2 assignmentsβ€’Total 45 minutes
  • Test Yourself: Introduction to Ordinary Least Squares Regressionβ€’30 minutes
  • Let's Practice: Introduction to Ordinary Least Squares Regressionβ€’15 minutes
1 programming assignmentβ€’Total 180 minutes
  • Lab Homework: OLS Regressionβ€’180 minutes

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review.

Build toward a degree

This course is part of the following degree program(s) offered by University of Pittsburgh. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.ΒΉ

Instructor

University of Pittsburgh
4 Coursesβ€’5,517 learners

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