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Calculus through Data & Modeling: Limits & Derivatives
  • Level Foundation
  • المدة 10 ساعات hours
  • الطبع بواسطة Johns Hopkins University
  • Offered by

عن

This first course on concepts of single variable calculus will introduce the notions of limits of a function to define the derivative of a function. In mathematics, the derivative measures the sensitivity to change of the function. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. This fundamental notion will be applied through the modelling and analysis of data.

الوحدات

The Limit of a Function

    • 5 Videos
    • 2 Readings
    • 1 Quiz
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5 Videos

  • Introduction to Limits
  • The Tangent Problem
  • Finding Limits with Graphs and Tables
  • One-Sided Limits
  • Limits Involving Infinity

2 Readings

  • Notes: The Limit of a Function
  • Sample Problems: The Limit of a Function

1 Quiz

  • The Limit of a Function

The Limit Laws

    • 3 Videos
    • 1 Readings
    • 1 Quiz
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3 Videos

  • Limit Laws
  • Examples to Find Limits
  • Squeeze Theorem

1 Readings

  • Notes: The Limit Laws

1 Quiz

  • The Limit Laws

Continuity

    • 3 Videos
    • 2 Readings
    • 1 Quiz
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3 Videos

  • Continuity
  • More on Continuity
  • Intermediate Value Theorem

2 Readings

  • Notes: Continuity
  • Sample Problems: Continuity

1 Quiz

  • Continuity

Limits at Infinity

    • 1 Videos
    • 2 Readings
    • 1 Quiz
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1 Videos

  • Limits at Infinity

2 Readings

  • Notes: Limits at Infinity
  • Sample Problems: Limits at Infinity

1 Quiz

  • Limits at Infinity

Derivatives

    • 7 Videos
    • 2 Readings
    • 1 Quiz
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7 Videos

  • Introduction to Derivatives
  • Using Limits to Find the Slope of a Tangent Line
  • Derivatives
  • Examples Using the Limit Definition of the Derivative
  • The Derivative As a Function
  • Differentiability and Continuity
  • Higher Derivatives

2 Readings

  • Notes: Derivatives
  • Sample Problems: Derivatives

1 Quiz

  • Derivatives

Module 2 Project: Gender Ratios in Education

    • 1 PeerReview
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1 Peer Review

  • Gender Ratios in Education

Auto Summary

Dive into the foundational concepts of single-variable calculus with "Calculus through Data & Modeling: Limits & Derivatives." Geared towards those embarking on their mathematical journey, this course offers a comprehensive introduction to the fundamental notions of limits and derivatives. You'll learn how the derivative measures a function's sensitivity to change, with practical applications such as understanding how an object's position changes over time, revealing its velocity. Offered by Coursera, this 600-hour course combines theoretical learning with hands-on data modeling and analysis, making abstract concepts tangible and applicable to real-world scenarios. Whether you're just starting out or looking to solidify your calculus foundation, this course is designed to meet your needs. You can choose from flexible subscription options, including Starter and Professional plans, to fit your learning pace and budget. Ideal for beginners in maths and statistics, this engaging course will equip you with the essential tools to understand and apply calculus concepts in various domains. Join now and take the first step towards mastering the language of change and motion!

Joseph W. Cutrone, PhD
Instructor

Joseph W. Cutrone, PhD