Math 21200: Calculus II

Supervisor: Niel Shell

Techniques of integration, exponential growth and decay, separable differential equations, improper integrals, infinite sequences and series, polar coordinates, areas in polar coordinates, geometry of space, and quadric surfaces.

Prerequisite: Grade of C or higher in Math 20100 or placement by the Department. (Part of sequence 20100, 21200, 21300.) 4 hr./wk.; 4 cr.

TERMS OFFERED: Fall, Spring, Summer

Throughout this page, words in colored font are clickable links to the described material.

TEXTBOOK AND OTHER REQUIRED MATERIALS

Calculus: Early Transcendentals (9th edition) by Stewart, Clegg, and Watson (Cengage)

Notes1a, and Notes5a, for the following topics which are in the syllabus, but are not in the text. They are essential reading.

Notes1a: The Limit Comparison Test for Improper Integrals is not in Section 7.8

Notes5a: Shifts, Reflections and Symmetry, the General Definition of Cones, and Intercepts are not in Section 12.1

SYLLABUS and HOMEWORK

There are two forms of homework problems: Click on Syllabus-Homework for the Syllabus and Homework from the text and https://webwork.ccny.cuny.edu/webwork2/25_Fa212_CD for webwork homework. Click Accessing online Homework for instructions logging in.

ADDITIONAL MATERIALS

The following Notes provide additional information and examples for the listed topics and are provided to supplement the material that is in the textbook.

Notes 1 on Integration, Change of Base, Exponential Change, Rate of Growth of Functions

Notes 2 on Sequences and Series of Real Numbers

Notes 3a on Power Series: Interval of Convergence

Notes 3b on Power Series: Representing Functions, Numerical Approximation

Notes 4 on Polar Coordinates

Notes5b: A discussion of why the standard listing of the Quadric Surfaces are the only non-degenerate Quadric Surfaces is not in Section 12.6

Sample Final Exam and solutions.

The Artino Math Tutoring Center and The Marshak Math/Physics Tutoring Center are two places you can find help

CLO (Course Learning Outcomes)

Sections

For Fall 2025, the following sections are being offered:

Historical offerings