# Calculus 1A: Differentiation

## David Jerison, Gigliola Staffilani, Jennifer French, Stephen Wang, MITx

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.

Calculus 1B: Integration

Calculus 1C: Coordinate Systems & Infinite Series

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.

### What will you learn

• 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

Dates:
• 29 August 2018
Course properties:
• Free:
• Paid:
• Certificate:
• MOOC:
• Video:
• Audio:
• Email-course:
• Language: English

### Reviews

No reviews yet. Want to be the first?

Register to leave a review

More on this topic:
Calculus 1B: Integration
Discover the integral - what it is and how to compute it. See how to use calculus...
Calculus 1C: Coordinate Systems & Infinite Series
Master the calculus of curves and coordinate systems; approximate functions...
More from 'Mathematics, Statistics and Data Analysis':
Analyzing and Visualizing Data with Power BI
Learn Power BI, a powerful cloud-based service that helps data scientists visualize...
Data Structures Fundamentals
Learn about data structures that are used in computational thinking &ndash;...
Data Analysis in Social Science—Assessing Your Knowledge
Learn the methods for harnessing and analyzing data to answer questions of cultural...
Sparse Representations in Image Processing: From Theory to Practice
Learn about the deployment of the sparse representation model to signal and...
Effective Thinking Through Mathematics
Learn tools of effective thinking through puzzles and mathematics in this fun...
More from 'edX':
Why Move Towards Cleaner Power
Learn why we need to clean up our power supply, and why is it urgent that we...
Creating a Pro-Renewables Environment
Understand the policy, regulatory and fiscal measures that can incentivise renewable...
Incorporating Renewable Energy in Electricity Grids
Learn how to manage high shares of variable renewable electricity sources to...
Analyzing and Visualizing Data with Power BI
Learn Power BI, a powerful cloud-based service that helps data scientists visualize...
Financial Accounting and Analysis
Understand and analyse a company&rsquo;s financial statements for informed decision...