Course Information

Course Number: MAT 1575

Course Title: Calculus II

Course Outline: Official course outline prepared by the Mathematics Department.

Course Description: A continuation of MAT 1475. Topics include Taylor polynomials, Mean Value Theorem, Taylor and Maclaurin series, tests of convergence, techniques of integration, improper integrals, areas, volumes and arclength.

Credits / Hours: 4

Section Number: D007

Prerequisites: MAT 1475

Textbook: The textbooks are available to download for free (pdf), view online, or print copies are available for a small fee.

Online Spaces

  • OpenLab: This website will be the online home for our class. The site contains important information about the course, and will be used in various ways throughout the semester.  
  • WeBWorK:  Much of the homework for this class will be completed on the WeBWorK system.  You will be provided with more information in the first week of class.

In-person Location:

  • N719

Faculty Information

Professor Name:

  • Suman Ganguli

Office Hours/Information: For information about office hours, visit Contact Info & Communications.

Contact Information

  • Email: sganguli [at] citytech.cuny.edu

Learning Outcomes

  1. Find anti-derivatives using integration by parts, trigonometric substitution, and the technique of partial fractions.
  2. Apply knowledge of integration to calculate volumes of solids of revolution, areas, and arc lengths.
  3. Evaluate improper integrals.
  4. Find Taylor polynomials and use Taylor’s Theorem to estimate error.
  5. Construct infinite series and test for their convergence and divergence.

Gen Ed Learning Outcomes

Students will be able to:

  1. Understand and employ both quantitative and qualitative analysis to solve problems.
  2. Employ scientific reasoning and logical thinking.
  3. Communicate effectively using written and oral means.
  4. Use creativity to solve problems.

Schedule

A detailed schedule of topics can be found on the Schedule page.

Percent/Letter Grade conversion

A = 93.0 — 100
A- = 90.0 — 92.9
B+ = 87.0 — 89.9
B = 83.0 — 86.9
B- = 80.0 — 82.9
C+ = 77.0 — 79.9
C = 70.0 — 76.9
D = 60.0 — 69.9
F = 0 — 59.9
W = withdrawal up to 12/11/20 (WF after 12/11/20)

Grading Policy

The grading policy for the course appears on the Grading Policy page.

Academic Integrity Policy

Students and all others who work with information, ideas, texts, images, music, inventions and other intellectual property owe their audience and sources accuracy and honesty in using, crediting and citation of sources. As a community of intellectual and professional workers, the college recognizes its responsibility for providing instruction in information literacy and academic integrity, offering models of good practice, and responding vigilantly and appropriately to infractions of academic integrity. Accordingly, academic dishonesty is prohibited in The City University of New York and is punishable by penalties, including failing grades, suspension and expulsion. More information about the College’s policy on Academic Integrity may be found in the College Catalog. 

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