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.
Upcoming start dates
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- Virtual Classroom
Who should attend?
18.01.2x Calculus 1B: Integration
Course delivery details
This course is offered through Massachusetts Institute of Technology, a partner institute of EdX.
6-10 hours per week
- Verified Track -$50
- Audit Track - Free
Certification / Credits
What you'll learn
- To compute arc length
- Methods for parameterizing curves
- To do calculus in polar coordinates
- How to approximate functions with Taylor polynomials
- To determine convergence properties of infinite series
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