University of Colorado Boulder
Expressway to Data Science: Essential Math Specialization
University of Colorado Boulder

Expressway to Data Science: Essential Math Specialization

Learn Mathematical Foundations for Data Science. Review key concepts in algebra, calculus, linear algebra, and numerical analysis that are critical for Data Science.

Jane Wall
James Bird

Instructors: Jane Wall

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4.5

(299 reviews)

Intermediate level

Recommended experience

1 month
at 10 hours a week
Flexible schedule
Learn at your own pace
Get in-depth knowledge of a subject
4.5

(299 reviews)

Intermediate level

Recommended experience

1 month
at 10 hours a week
Flexible schedule
Learn at your own pace

What you'll learn

  • Compute simple derivatives.

  • Convert between linear systems and matrix notation and use matrix algebra to solve linear systems.

  • Factor a simple matrix using Singular Value Decomposition (SVD).

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Taught in English

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Specialization - 3 course series

Algebra and Differential Calculus for Data Science

Course 18 hours4.5 (228 ratings)

What you'll learn

  • Practice working with logarithm properties and how logarithm functions behave graphically.

  • Identify the difference between a continuous and non-continuous function.

  • Solidify an understanding of what a derivative is calculating.

  • Understand how to use derivatives to create graphs of functions.

Skills you'll gain

Category: Integrals
Category: Matrix Algebra
Category: Numerical Analysis
Category: Algebra
Category: Derivatives

Essential Linear Algebra for Data Science

Course 27 hours4.5 (155 ratings)

What you'll 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'll gain

Category: Integrals
Category: Matrix Algebra
Category: Numerical Analysis
Category: Derrivatives
Category: Algebra

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

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

Instructors

Jane Wall
University of Colorado Boulder
6 Courses29,744 learners

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