MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.
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 is part of the Single Variable Calculus XSeries Program.
This course, in combination with Parts 1 and 2, covers the AP* Calculus BC curriculum.
This course was funded in part by the Wertheimer Fund.
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
MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.
MOOC List is learner-supported. When you buy through links on our site, we may earn an affiliate commission.