Discover the derivative—what it is, how to compute it, and when to apply it in solving real world problems. Part 1 of 3.

How does the final velocity on a zip line change when the starting point is raised or lowered by a matter of centimeters? What is the accuracy of a GPS position measurement? How fast should an airplane travel to minimize fuel consumption? The answers to all of these questions involve the derivative.

But what is the derivative? You will learn its mathematical notation, physical meaning, geometric interpretation, and be able to move fluently between these representations of the derivative. You will discover how to differentiate any function you can think up, and develop a powerful intuition to be able to sketch the graph of many functions. You will make linear and quadratic approximations of functions to simplify computations and gain intuition for system behavior. You will learn to maximize and minimize functions to optimize properties like cost, efficiency, energy, and power.

The three modules in this series are being offered as an XSeries on edX. Please visit Single Variable Calculus XSeries Program Page to learn more and to enroll in the modules.

Learn more about our High School and AP* Exam Preparation Courses

This course was funded in part by the Wertheimer Fund.

**Advanced Placement and AP are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, these offerings.*

- How to evaluate limits graphically and numerically
- The physical meaning, and geometric interpretation of the derivative
- To calculate the derivative of any function
- To sketch many functions by hand
- To make linear and quadratic approximations of functions
- To apply derivatives to maximize and minimize functions and find related rates

会期:

- 2019年8月07日

还有标题«数学与统计»:

Model-Based Automotive Systems Engineering

Learn how to model and simulate system dynamics in automotive engineering Modeling...

Learn how to model and simulate system dynamics in automotive engineering Modeling...

Using Python for Research

Take your introductory knowledge of Python programming to the next level and...

Take your introductory knowledge of Python programming to the next level and...

Observation Theory: Estimating the Unknown

Learn how to estimate parameters from observational data for real-world engineering...

Learn how to estimate parameters from observational data for real-world engineering...

Introduction to Analytics Modeling

Learn essential analytics models and methods and how to appropriately apply...

Learn essential analytics models and methods and how to appropriately apply...

Computing for Data Analysis

A hands-on introduction to basic programming principles and practice relevant...

A hands-on introduction to basic programming principles and practice relevant...

还有edX:

IoT Sensors and Devices

Explore various IoT devices and sensor types, how they work, and how we connect...

Explore various IoT devices and sensor types, how they work, and how we connect...

The Architectural Imagination

Learn fundamental principles of architecture — as an academic subject...

Learn fundamental principles of architecture — as an academic subject...

Model-Based Automotive Systems Engineering

Learn how to model and simulate system dynamics in automotive engineering Modeling...

Learn how to model and simulate system dynamics in automotive engineering Modeling...

Using Python for Research

Take your introductory knowledge of Python programming to the next level and...

Take your introductory knowledge of Python programming to the next level and...

Customer-Centric Innovation

Learn to take on competition by creating successful and innovative ideas for...

Learn to take on competition by creating successful and innovative ideas for...

© 2013-2019