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Algebra and Differential Calculus for Data Science
  • Level Professional
  • المدة 8 ساعات hours
  • الطبع بواسطة University of Colorado Boulder
  • Offered by

عن

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 Calculus concepts that you will need for a career in Data Science without a ton of unnecessary proofs and techniques 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 Differential Calculus. We will review some algebra basics, talk about what a derivative is, compute some simple derivatives and apply the basics of derivatives to graphing and maximizing functions. 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. Logo courtesy of ThisisEngineering RAEng on Unsplash.com

الوحدات

Function Intro

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Functions Quiz

1 Videos

  • What is a Function? (Algebraically and Graphically)

Domain and Range

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Domain and Range Quiz

1 Videos

  • Domain and Range

Piecewise Functions

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Piecewise Functions Quiz

1 Videos

  • Piecewise Functions

What Can You Do to a Function?

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Performing function operations

1 Videos

  • What Can You Do to a Function?

Multiplying Binomials

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Multiplying Binomials Quiz

1 Videos

  • Multiplying Binomials

Rationalizing Denominators

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Rationalizing Denominators Quiz

1 Videos

  • Rationalizing Denominators

Exponent Rules

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Exponent Rules Quiz

1 Videos

  • Exponent Rules

Logarithms

    • 2 Videos
    • 2 Assignment
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2 Assignment

  • Logarithms Quiz
  • Applications of Logarithms

2 Videos

  • Logarithms
  • Applications of Logarithms

Induction Proofs

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Proof by Induction Quiz

1 Videos

  • Proof by Induction

Limits and Continuity

    • 3 Videos
    • 3 Assignment
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3 Assignment

  • Limits at Infinity Quiz
  • Limits at a Specific Point Quiz
  • Continuity of a Function Quiz

3 Videos

  • Limits at Infinity
  • Limits at a Specific Point
  • Continuity of a Function

Derivative Definition and Formula

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Derivative Concept Check

1 Videos

  • Intro to Derivatives

Simple Polynomial Function

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Simple Polynomial Function Quiz

1 Videos

  • Derivative of a Simple Function

Simple Exponential Function

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Derivative of an Exponential Function Quiz

1 Videos

  • Derivative of an Exponential Function

Derivative of a Constant

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Derivative of a Constant Quiz

1 Videos

  • Derivative of a Constant

Product Rule

    • 2 Videos
    • 1 Assignment
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1 Assignment

  • Product Rule Quiz

2 Videos

  • Product Rule Part 1
  • Product Rule Part 2

Quotient Rule

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Quotient Rule Quiz

1 Videos

  • Quotient Rule

Chain Rule

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Chain Rule Quiz

1 Videos

  • Chain Rule

Using the Derivative to Graph Functions

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Using the Derivative to Graph Functions Quiz

1 Videos

  • Using the Derivative to Graph Functions

Finding Concavity with the Second Derivative

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Finding Concavity with the Second Derivative Quiz

1 Videos

  • Finding Concavity with the Second Derivative

Comparing the Graphs of f(x) and f’(x)

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Comparing the Graphs of f(x) and f'(x) Quiz

1 Videos

  • Comparing the Graphs of f(x) and f’(x)

Graphing Functions - A More Complicated Example

    • 1 Videos
    • 1 Assignment
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1 Assignment

  • Graphing Functions - A More Complicated Example Quiz

1 Videos

  • Graphing Functions - A More Complicated Example

Maxima and Minima of Functions

    • 4 Videos
    • 1 Assignment
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1 Assignment

  • Finding Maximums and Minimums Quiz

4 Videos

  • Maxima and Minima of Functions
  • Applications of Maxima and Minima
  • Graphing Using Maxima and Minima
  • Rate of Change

Auto Summary

Unlock the essentials of data science with the "Algebra and Differential Calculus for Data Science" course, tailored for those seeking a solid foundation in mathematics without getting bogged down by unnecessary complexities. Designed by Coursera, this professional-level course focuses on the most crucial concepts of differential calculus, including algebra basics, understanding and computing derivatives, and applying these principles to graphing and function optimization. The comprehensive 480-hour curriculum is crafted to make challenging math topics accessible and engaging, ensuring you're well-prepared for advanced studies, such as the Statistical Modeling for Data Science Application, part of CU Boulder's Master of Science in Data Science program. Ideal for aspiring data scientists and professionals looking to boost their math skills, the course offers flexible subscription options, including Starter and Professional, to suit your learning needs and pace. Dive into this expressway to data science and master the key mathematical ideas with confidence and ease.

Jane Wall
Instructor

Jane Wall