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Calculus I

Prerequisite: No formal pre-requisites; an understanding of pre-calculus will be assumed.

Textbook: James Stewart, Calculus: Early Transcendentals, 9th edition

The course covers the first five chapters (plus a few sections of Chapter 6) in course textbook (Calculus, Early Transcendentals, by Stewart).

  • Functions and Models (Chapter 1)
  • Limits and derivatives (Chapter 2)
  • Differentiation rules (Chapter 3)
  • Applications of Differentiation (Chapter 4)
  • The integral (Chapter 5)
  • Applications of the integral (Chapter 6 — selected sections)

Syllabus:
A sample syllabus for this course is available.

Information on Calculus Classes:

Calculus Director: George Dragomir
Barnard Calculus Director: Dusa McDuff
Course Coordinator: George Dragomir

Help Room Schedule: 502 Milstein Center (Barnard Campus)

Free Calculus Bootcamp

Before each term, Columbia and Barnard students can access a free Calculus Bootcamp on WebAssign, designed to prepare them for Calculus I, II, or III. This resource helps students review essential concepts covered in these courses. For more details about the WebAssign Bootcamp, visit the department’s WebAssign page.

Precalculus Bootcamp (Calculus I Readiness in-person)

In addition to the WebAssign Bootcamp, the Mathematics Department is offering an in-person Precalculus Bootcamp for students preparing for Calculus I.

The bootcamp runs each term during the first week of classes and is organized as drop-in help rooms with focused worksheets and TA support. There are no lectures and no new material is taught. The bootcamp is meant to help students practice core algebra and trigonometry skills, identify gaps in preparation, and ask targeted questions.

This is not a precalculus course! If many of the topics feel unfamiliar, students may want to consider taking a full precalculus course before enrolling in Calculus I.

More details, including the daily schedule and worksheets, are available on the CourseWorks page.

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