Home

Welcome to Calculus I!

Calculus is often hailed as one of the most beautiful and powerful branches of mathematics, serving as the language through which we describe and understand change. It allows us to model the dynamic world around us, from the falling of an apple to the orbit of planets. By mastering calculus, one gains the tools to unlock the secrets of motion, growth, and decay. As physicist Richard Feynman once said, “To those who do not know mathematics, it is difficult to get across a real feeling as to the beauty, the deepest beauty of nature… If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in“*. This language is calculus, the key to exploring the universe’s most profound truths. It enables us to tackle a vast array of complex and intriguing problems.

*Feynman, Richard P. The Feynman Lectures on Physics. 1963.

In this course, we will delve into the fundamental principles of calculus, equipping you with the skills to model various situations and find solutions. If you have previously studied calculus, our aim is to help you achieve an even deeper comprehension of this captivating subject.

Learning Objectives

By the end of the course students will be able to:

  • Understand the theoretical concept of a limit; use algebraic means to compute the values of limits and identify when they don’t exist.
  • Understand the theoretical concept of the derivative; compute them using the standard rules of differentiation.
  • Understand the theoretical concept of the integral; compute both definite and indefinite integrals using the fundamental theorem of calculus.
  • See how the mathematical concepts of integration and differentiation are the natural result of an investigation into the nature of the physical world and perform further investigations using the new tools presented in class.
  • Communicate mathematically, including understanding, making, and critiquing mathematical arguments.

During the Fall 2024 Semester the Calculus I course will be coordinated by Dr. Julius Damarackas.  He may be contacted at jd4184@nyu.edu.

Prerequisites

Students who wish to enroll in Calculus I must meet the prerequisites listed on the Mathematics Department CAS Calculus Information page.