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: D034

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.  To go to our class WeBWorK site click here.

In-person Location

  • N1003 on Tuesdays and Thursdays from 2:15pm until 3:55pm.

Faculty Information

Professor Name:

  • Dr. K. Andrew Parker

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

Contact Information

  • Email: kparker@citytech.cuny.edu

Learning Outcomes

  1. Find anti-derivatives using various methods (including but not limited to):
    • 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 (areas that include asymptotic bounds).
  4. Find Taylor polynomials and use Taylor’s Theorem to estimate error.
  5. Construct infinite series and test for their convergence or 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.

Teaching/Learning Methods

Technology Requirements

  • A graphing calculator such as the TI-84+ is recommended for exams.
  • Calculators may be borrowed from the Library (4th Floor, Atrium).

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 May 15, 2024
WU = if you don’t attend any classes after May 1, 2024

Grading Policy

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

Class Etiquette

Class will begin with a quiz at 2:15pm each session (with exceptions for exam days). Please plan to arrive and be ready to take these quizzes on time.

If you need to leave class early on any day for any reason, please choose a seat near the door so that your early departure causes as little disruption as possible. You do not need my permission to leave early.

If you arrive late, it is your responsibility to check in with me after class has dismissed. If you must arrive late, please choose a seat near the door so that your arrival causes as little disruption as possible.

Attendance/Participation

The quizzes that start off each class session will serve as attendance. If you arrive after the quiz has completed, it is your responsibility to put your name on a blank quiz at the end of class. If you do not, your attendance will not be recorded.

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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