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: D506

Room: N719

Schedule: Class meets Mondays and Wednesdays, 10:00am – 11:40am

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.
  • Brightspace: Brightspace will be used to distribute Grades (and a few other administrative functions).
  • 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 weeks of class.

Faculty Contact Information

Name: Jonas Reitz

Contact Information

  • Email: jreitz@citytech.cuny.edu
  • Phone: 718-260-5380

Availability & email response times: I will make an effort to respond to email within 48 hours, often much sooner (but occasionally a little later, when life gets in the way).

Student Hours

Student hours (office hours) (drop-in):

  • Mon/Wed 11:40-12:40pm, room N707
  • Have a question about what we discussed in class? Stuck on a homework problem? Want to talk about your grade? Drop in!

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.

Technology Requirements

  • A graphing calculator such as the TI-84+ is required.

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 11/6/20

Grading Policy

Your grade will be based on the following components.

Homework (25%): Each class you will be assigned problems to complete on the WeBWorK (online homework) system or (in some cases) written problems from the textbook.  Problems will usually be due one week after they are assigned.  Over the course of the semester, you will only need to complete 90% of the assigned problems to earn the required points. Any additional points earned will count as bonus credit (50% value of required points).

OpenLab Participation and Discussion (15%): You will be participating on the OpenLab by posting and making comments in response to assigned readings, homework problems, and so on. Your first assignment is to register for the OpenLab and join this class (go to the course website for instructions). Further assignments will be posted on the OpenLab.

In-Class Exams (35%): There will be 3 exams during the semester (not including the final).  No makeup exams will be given.  If you miss an exam for a valid reason, your final exam score will take the place of the missing exam.

Final Exam (25%): A final exam is given on the last day of class covering all topics. The final exam must be taken to pass the course.

Class Etiquette & Netiquette

Whether online or in the classroom, you are expected to behave like a good human. Bullying, talking down to others, and foul language will not be permitted. Be honest, be kind. 

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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