During the Fall 2021 term, Calculus II is coordinated by Prof. Raoul Normand (rjn5@nyu.edu).
Welcome to Calculus II!
Calculus II is a second semester calculus course for students who have previously been introduced to the basic ideas of differential and integral calculus. The material we take up in this course has applications in physics, chemistry, biology, environmental science, astronomy, economics, statistics, and just about everything else. We want you to leave the course not only with computational ability, but with the ability to use these notions in their natural scientific contexts, and with an appreciation of their mathematical beauty and power.
By the end of the course, students will be able to:
- Integrate a large class of functions using integration by substitution, integration by parts, and partial fractions.
- Approximate definite integrals.
- Determine the convergence of improper integrals.
- Solve basic differential equations.
- Use integration to compute area, volume, arc length, work, etc.
- Determine the convergence of sequences and series.
- Analyze functions expressed as power series.
- Use Taylor series to approximate functions and compute limits.
- Study curves in the plane expressed parametrically or in polar coordinates.
- Communicate mathematically, including understanding, making, and critiquing mathematical arguments.