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.

Taught in English

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Jane Wall
James Bird

Instructors: Jane Wall

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Specialization - 3 course series

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4.5

(273 reviews)

Intermediate level

Recommended experience

1 month at 10 hours a week
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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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Specialization - 3 course series

Get in-depth knowledge of a subject

4.5

(273 reviews)

Intermediate level

Recommended experience

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

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Specialization - 3 course series

Algebra and Differential Calculus for Data Science

Course 18 hours4.5 (204 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 hours4.4 (146 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 Courses25,893 learners

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