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_XXX, where XXX is the two or three letter section of your class, 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.
AccessibileNotes1a accessible form of Notes1a
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)
Page for Instructors
You must be logged in to your allium account to access the 212 instructor page. If you cannot access your account, or do not have one, please send email to mathweb@ccny.cuny.edu
