Math 226/227 (Calculus 2; formerly Math 222) [Department of Mathematics and Statistics, Binghamton University]

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~~META:title=Math 226/227 (Calculus 2; formerly Math 222)~~

====== Syllabus for Math 226/227, Fall 2026 ======

===== Contact Information =====

The instructor for your section will provide you with contact information.

Course Coordinator:
  * Dr. L. William Kazmierczak, Director of Calculus  

===== Class Meeting Schedule - All Sections =====
**The drop deadline is August 31 and the withdrawal deadline is September 28**

Math 226: Integration Techniques and Applications, Aug 18 - Oct 9.

**The drop deadline is October 30 and the Withdrawal deadline is November 20**

Math 227: Infinite Series, Oct 19 - Dec 8.

(227 Final Exam Date TBA)

**The drop deadline is August 31 and the withdrawal deadline is September 28**

Math 227: Infinite Series, Aug 18 - Oct 9.

**The drop deadline is October 30 and the Withdrawal deadline is November 20**

Math 226: Integration Techniques and Applications, Oct 19 - Dec 8.

(226 Final Exam Date TBA)

===== Prerequisites =====

A grade of C- or better in both MATH 224 and 225 is required to take MATH 226, but a grade of C or better is HIGHLY RECOMMENDED. Historical data shows that students with just C- in Calculus I (224/225) usually had serious trouble in Calculus II (226/227). You have been warned! A grade of a C- or better in MATH 226 is required to take MATH 227.

===== Office Hours =====

Each instructor will inform you of office hours or scheduled problem sessions outside of class times.

===== Textbook =====

``Calculus Single Variable'' by James Stewart, Ninth Edition (with WebAssign Access Code), Cengage  Learning, 20 Channel Center Street, Boston, MA.

**All information on registering for your WebAssign (online HW) section and purchasing "Cengage Unlimited" (ebook with WebAssign) can be found here:** [[https://www.cengage.com/coursepages/SUNY_Calculus|Binghamton University WebAssign Registration]]

===== Objectives and Course Contents =====

Calculus II is being taught in two half-semester courses; Math 226: Integration Techniques and Applications, and 
Math 227: Infinite Series.

The main goal of Calculus II is to continue the development of differential and integral calculus started in Calculus I, including specific topics which have been found to be valuable for applications in many other fields. Students will be introduced to new classes of functions including the exponential functions, logarithm functions, and inverse trig functions. Students will then learn how to apply the techniques of Calculus (differentiation and integration) to those functions. The method of L'Hospital's Rule will be taught for dealing with certain limits. Various techniques for integration will be taught (integration by parts, trig integrals, inverse trig substitutions, partial fractions, and improper integrals). We will study several applications of integration, including: finding the length of arc of a curve, finding the area of a surface of revolution (even when the equations are given in parametric form, in rectangular or polar coordinates). 

Infinite sequences and series will be studied, and methods for investigation of their convergence will be taught (the integral test, the comparison tests, the ratio and root tests, alternating series, absolute convergence and power series). Methods of representing functions as power series with a radius of convergence will be taught, as well as the Taylor series representations of a given function. 

The course material is vital to the study of Calculus III and Differential Equations, and is very useful in many other courses in the Department of Mathematical Sciences and in other departments (e.g., Physics, Chemistry, Biology, and Economics). 

===== Help Outside of Class =====

The **Calculus Help Rooms**, located on the 2nd floor of Whitney Hall, are staffed by instructors who teach the course and will be open after the first week of classes. Students can walk in with no appointment and ask questions of any available instructor. **[[https://www2.math.binghamton.edu/p/helprooms|Click here for the Help Room schedule.]]** There are no Help Room or office hours after the final exam during the week of midsemester grading.

There is free tutoring offered though University Tutoring Services. All information regarding tutoring can be found here: http://www.binghamton.edu/clt/tutoring-services/index.html

People learn in many different ways: through reading, listening, practicing and working with others. Students may wish to work with others while doing the practice problems or preparing for an exam. That is acceptable and even encouraged. However, unethical behavior in this class will not be tolerated. Cheating on an examination, or any other ethics violation, will result in a serious penalty. See the section below on Academic Honesty. 
===== General Comments =====

Regular class attendance is required for success in this course. Lack of attendance will most likely result in a lower grade. The instructor may assign 2% of your total score based on attendance or classroom participation, and will decide borderline cases. The material is a combination of theory and calculation, and it is necessary to understand the theory in order to do sensible calculations and interpret them correctly. Lectures can be interrupted at any time for questions. At the start of each class be ready to ask questions about homework problems or about the previous lecture. A grade of C or better in Calculus I is strongly recommended for this course. If you do not meet that condition, see the instructor immediately for advice.

Student use of cell phones and other electronic devices is becoming increasingly disruptive in class and is actually insulting to the instructor. Holding the cell phone in your lap and looking down to text does not make you invisible! All electronics should be turned off and put away before the beginning of class. Students found using such devices may be asked to leave the class. 


===== University Attendance Policy =====

Students are expected to attend all scheduled classes, laboratories and discussions. Instructors may establish their own attendance criteria for a course. They may establish both the number of absences permitted to receive credit for the course and the number of absences after which the final grade may be adjusted downward. In such cases it is expected that the instructor stipulate such requirements in the syllabus and that the syllabus be made available to students at or near the beginning of classes. In the absence of such statements, instructors have the right to deny a student the privilege of taking the final examination or of receiving credit for the course or may prescribe other academic penalties if the student misses more than 25 percent of the total class sessions.

Students are expected to attend all scheduled calculus classes. It is important to attend class in order to learn the material and successfully complete the course. University policy states that if a student misses more than 25 percent of the total class sessions, then the instructor has the option to fail that student. University policy states that if a student misses more than 25 percent of the total class sessions, then the instructor has the option to fail that student and not allow them to take the final exam. So, **if a student has more than 5 unexcused absences for our half semester course and they fail the midterm exam, then they will not be permitted to take the final exam and will receive a course grade of "F" if they do not withdraw from the course.**

If you are seriously ill (running a fever, upset stomach) you should not come to class. Documented illness of this sort is an excused absence and will not be counted against your attendance grade. Absence for more than one or two days needs to be documented by health services. If you are going to be ill for an extended period of time (a week or more) be sure to contact your instructor as soon as you can so that plans can be made for you to make up the work you will be missing.
===== Homework and WebAssign =====


For each section of material covered there will be an assignment of problems on WebAssign. Your WebAssign homework counts towards your grade. Study groups are encouraged, but students should not become too dependent on others. Watching the instructor, or other students, do the problems will not be enough to learn the material. It will be necessary for you to do many exercises yourself in order to be successful on the exams. Attempts to solve homework problems provide the best way to learn the material and to prepare for exams. 

WebAssign is an online homework system which includes an e-book version of our text. If you purchased the textbook/WebAssign or Cengage Unlimited (1 semester) from our bookstore when taking 224/225, then you do not need to purchase it again. 

To gain access to the text with WebAssign you need to purchase "Cengage Unlimited". This comes with the ebook and you do not need to purchase Cengage Unlimited separately or out of pocket. This one-time subscription is instead automatically billed to your student account. As a Calculus student at SUNY Binghamton, you will receive access to Cengage Unlimited for $149.99. This one-time purchase provides you with access to all of your required calculus courses and is the cheapest option. In addition, you will not need to make an additional purchase when taking Math 227 or 323. Cengage Unlimited also comes with the option to rent a hard copy of the textbook by just paying for shipping and handling. 

**All information on registering for your WebAssign section and Cengage Unlimited can be found here:** [[https://www.cengage.com/coursepages/SUNY_Calculus|Binghamton University WebAssign Registration]]

**Exams and Grading**

Click [[:calculus:math_226_227:exams_grades|here]] for info on Exams and Grading.

**Weekly Schedule of Topics and Exams**

Click [[:calculus:math_226_227:schedule|here]] for the weekly schedule of topics and exams.