Calculus 1C

Coordinate Systems & Infinite Series

How did Newton describe the orbits of the planets? To do this, he created calculus.  But he used a different coordinate system more appropriate for planetary motion.  We will learn to shift our perspective to do calculus with parameterized curves and polar coordinates. And then we will dive deep into exploring the infinite to gain a deeper understanding and powerful descriptions of functions.

How does a computer make accurate computations? Absolute precision does not exist in the real world, and computers cannot handle infinitesimals or infinity. Fortunately, just as we approximate numbers using the decimal system, we can approximate functions using series of much simpler functions. These approximations provide a powerful framework for scientific computing and still give highly accurate results. They allow us to solve all sorts of engineering problems based on models of our world represented in the language of calculus.

  1. Changing Perspectives

    1. Parametric Equations
    2. Polar Coordinates

  2. Series and Polynomial Approximations

    1. Series and Convergence
    2. Taylor Series and Power Series

This course, in combination with Parts 1 and 2, covers the AP* Calculus BC curriculum.

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

Calculus 1A: Differentiation

Calculus 1B: Integration

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.

View and Enroll at edX

OpenCourser is compensated by edX. Learn more.

From edX
Institution Massachusetts Institute of Technology
Instructors Karene Chu, David Jerison, Gigliola Staffilani, Jen French
Availability Archived
Language English (English)
Subjects Math

No reviews yet.
More Info Calculus 1C @ edX
Save this course Save to List

Be the first to review this course. Write a review.

Take this course?

Recommend by rating it a 4 or 5

Tell us a little bit about it.
How much coursework did you finish?

These skills are valuable to employers*


Yearly salary

Estimated for jobs that may use skills taught in this course based on salary data from 20 jobs.

We've listed a sampling of these jobs below.

Portfolio Mgr. (Entry)


Annuity Services Director


Portfolio Mgr. (Experienced)


Investment Specialist


*Median income figures across U.S., note that actual salaries vary.

Like this course?

Save it for later.

You can find this course in these lists:

Courses like this one