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Math182 - Calculus II

Section 1004, Summer 2026

(7/13/2026-8/14/2026)

CATALOG DESCRIPTION: CALCULUS II (4 semester hours) contains techniques and applications of integration; series; parametric equations and polar coordinates. The topical outline of course objectives is the following:

PREREQUISITE: Math 181.
 

LEARNING OUTCOMES: The following is only a set of the most important objectives of the course.

1. Interpret a volume of revolution of a function’s graph around a given axis as a (Riemann) sum of disks or cylindrical shells, convert to definite integral form and compute its value.
2. Express the length of a curve as a (Riemann) sum of of linear segments, convert to definite integral form and compute its value.
3. Express the surface area of revolution of a function’s graph around a given axis as a  (Riemann) sum of rings, convert to definite integral form and compute its value.
4. Antidifferentiate products of functions by parts.
5. Recognize and implement appropriate techniques to anti-differentiate products of trigonometric functions.
6. Devise and apply a trigonometric substitution in integrals involving Pythagorean quotients.
7. Decompose a rational integrand using partial fractions
8. Determine convergence of improper integrals with discontinuities in their domain or infinite limits of integration.
9. Identify and solve differential equations of the following types: first-order separable; first-order linear; second-order linear homogeneous with constant coefficients.
10. Use initial conditions to set up and solve differential equations of the above types to model various phenomena in the physical, biological, and social sciences, including compound interest, radioactive decay, cooling, and exponential and logistic population growth.
11. Use the concept of the limit at infinity to determine whether a sequence of real numbers is bounded and whether it converges or diverges.
12. Interpret the concept of a series as the sum of a sequence, and use the sequence of partial sums to determine convergence of a series.
13. Decide whether and to what value an infinite geometric series converge.
14. Use comparison with a corresponding integral with other series to decide whether infinite series (including p-series) converge or diverge.
15. Be able to decide whether an alternating series converges from the limit and monotonic decrease of the sequence of absolute values of its terms.
16. Distinguish between absolute and conditional convergence of series and be aware of the consequences of reordering terms in conditionally converging series.
17. Perform the ratio and root test to determine convergence of infinite series.
18. Interpret a converging power series as a function.
19. Determine the Taylor series of the nth order and determine an upper bound on its remainder.
20. Manipulate Taylor series by substitution and (anti-) differentiation to obtain expansions for other functions.
21. Devise parametric representations for conic sections and other relations.
22. Compute the length of a curve segment from its parametric representation.
23. Apply basic antidifferentiation techniques to selected problems arising in various fields such as physical modeling , economics and population dynamics.

TEST AND GRADING POLICY:

There will be FOUR (130 minutes) tests evenly distributed within the summer term, each noncumulative test is worth 25%, covering sections that are learned recently. Grades will be assigned on the basis of total 100 points, distributed as follows:

Final course letter grades will be assigned according to the following rule:

NOTE: Your grade will be based EXCLUSIVELY on examinations.

CLASS POLICIES:

ATTENDANCE:

You are expected to attend class regularly. If you miss a class for any reason, you are responsible for all material covered, announcements made in your absence, and acquiring materials that may have been distributed in class.

 

HOMEWORK:

Homework are not collected/checked during summer sessions, though, you are required to do the homework outside of class since questions of four tests are all taken from homework.

 

TESTS:

Questions in the tests will be taken from the homework.  Calculator is unallowed and also unnecessary in any test.

 

MISSED TESTS:

Make-up exam is not allowed due to the tight summer schedule. Failure to take an test during the scheduled class time will result in a score of zero for that test.

CLASS COURTESY:

Please use basic common courtesy and mute or turn off your cell phone before class. Private conversations cannot be allowed in class. Cell phone must be turned off during any tests.

CALCULATORS:

A graphics calculator is useful as a study and learning tool when used appropriately. However, calculus is a collection of ideas which are not mastered through calculator skills only. Thus the calculator is not encouraged to be used on quizzes and examinations, although it is not prohibited during the open-book tests.

UNIVERSITY POLICIES:

Public Health Directives:

Face coverings are mandatory for all faculty and students in the classroom. Students must follow all active UNLV public health directives while enrolled in this class. UNLV public health directives are found at https://www.unlv.edu/coronavirus/health-requirements. Students who do not comply with these directives may be asked to leave the classroom. Refusal to follow the guidelines may result in further disciplinary action according to the UNLV Code of Student Conduct, https://www.unlv.edu/sites/default/files/page_files/27/StudentConduct-Code.pdf, including being administratively withdrawn from the course.

Academic Misconduct:

Academic integrity is a legitimate concern for every member of the University community. We all share in upholding the fundamental values of honesty, trust, respect, fairness, responsibility, and professionalism. By choosing to join the UNLV community, students accept the expectations of the Student Academic Misconduct Policy, and are encouraged to always take the ethical path whenever faced with choices. Students enrolling at UNLV assume the obligation to conduct themselves in a manner compatible with UNLV’s educational mission. An example of academic misconduct is plagiarism. Plagiarism is using the words or ideas of another person, from the Internet or any other source without proper citation of the source(s). See the Student Conduct Code, https://www.unlv.edu/studentconduct/student-conduct. 

Auditing Classes:

Auditing a course allows a student to continue attending the lectures and/or laboratories and discussion sessions associated with the course, but the student will not earn a grade for any component of the course. Students who audit a course receive the same educational experience as students taking the course for a grade, but will be excused from exams, assessments, and other evaluative measures that serve the primary purpose of assigning a grade. 

Classroom Conduct:

Students have a responsibility to conduct themselves in class and in the libraries in ways that do not interfere with the rights of other students to learn, or of instructors to teach. Use of electronic devices such as pagers, cellular phones, or recording devices, or potentially disruptive devices or activities are only permitted with the prior explicit consent of the instructor. The instructor may rescind permission at any time during the class. If a student does not comply with established requirements or obstructs the functioning of the class, the instructor may initiate an administrative withdrawal of the student from the course. 

Copyright:

The University requires all members of the University Community to familiarize themselves with, and to follow copyright and fair use requirements. You are individually and solely responsible for violations of copyright and fair use laws. The University will neither protect nor defend you, nor assume any responsibility for employee or student violations of fair use laws. Violations of copyright laws could subject you to federal and state civil penalties and criminal liability, as well as disciplinary action under University policies. Additional copyright policy information is available at https://www.unlv.edu/provost/copyright.

Disability Resource Center (DRC):

The UNLV Disability Resource Center (SSC-A, Room 143, https://www.unlv.edu/drc, telephone 702-895-0866) provides resources for students with disabilities. Students who believe that they may need academic accommodations due to injury, disability, or due to pregnancy should contact the DRC as early as possible in the academic term. A Disabilities Specialist will discuss what options may be available to you. If you are registered with the UNLV Disability Resource Center, bring your Academic Accommodation Plan from the DRC to the instructor during office hours, so that you may work together to develop strategies for implementing the accommodations to meet both your needs and the requirements of the course. Any information you provide is private and will be treated as such. To maintain the confidentiality of your request, please do not approach the instructor in front of others to discuss your accommodation needs. 

Final Examinations:

The University requires that final exams given at the end of a course occur on the date and at the time specified in the Final Exam schedule. The Final Exam schedule is typically available at the start of the semester, and the classroom locations are available approximately one month before the end of the semester. See the Final Exam Schedule, https://www.unlv.edu/registrar/calendars. 

Identity Verification in Online Courses:

All UNLV students must use their Campus-issued ACE ID and password to log in to WebCampus-Canvas.

 

UNLV students enrolled in online or hybrid courses are expected to read and adhere to the Student Academic Misconduct Policy, https://www.unlv.edu/studentconduct/misconduct/policy, which states that “acting or attempting to act as a substitute for another, or using or attempting to use a substitute, in any academic evaluation or assignment” is a form of academic misconduct. Intentionally sharing ACE login credentials with another person may be considered an attempt to use a substitute, and could result in investigation and sanctions, as outlined in the Student Academic Misconduct Policy.

 

UNLV students enrolled in online courses are also expected to read and adhere to the Acceptable Use of Computing and Information Technology Resources Policy, https://www.it.unlv.edu/policies/acceptable-use-computing-and-information-technology-resources-policy, which prohibits sharing university accounts with other persons without authorization.

 

To the greatest extent possible, all graded assignments and assessments in UNLV online courses should be hosted in WebCampus-Canvas or another UNLV-managed platform that requires ACE login credentials for access. 

Incomplete Grades:

The grade of “I” (Incomplete) may be granted when a student has satisfactorily completed three-fourths of course work for that semester/session, but cannot complete the last part of the course for reason(s) beyond the student’s control and acceptable to the instructor, and the instructor believes that the student can finish the course without repeating it. For undergraduate courses, the incomplete work must be made up before the end of the following regular semester. Graduate students receiving “I” grades in 500-, 600-, or 700-level courses have up to one calendar year to complete the work, at the discretion of the instructor. If course requirements are not completed within the period indicated, a grade of “F” will be recorded, and the student’s GPA will be adjusted accordingly. Students who are fulfilling an Incomplete grade do not register for the course, but make individual arrangements with the instructor who assigned the “I” grade. 

Library Resources:

Librarians are available to consult with students on research needs, including developing research topics, finding information, and evaluating sources. To make an appointment with a subject expert for this class, please visit the Libraries’ Research Consultation website, https://guides.library.unlv.edu/appointments/librarian. You can also ask the library staff questions via chat and text message at https://ask.library.unlv.edu/. 

Missed Classwork:

Any student missing class, quizzes, examinations, or any other class or laboratory work because of observance of religious holidays will be given an opportunity during that semester to make up the missed work. The make-up opportunity will apply to the religious holiday absence only. It is the responsibility of the student to notify the instructor within the first 14 calendar days of the course for Fall and Spring courses (except for modular courses), or within the first 7 calendar days of the course for Summer and modular courses, of their intention to participate in religious holidays which do not fall on state holidays or periods of class recess.  For additional information, please visit the Missed Work policy, under Registration Policies, on the Academic Policies webpage, https://catalog.unlv.edu/content.php?catoid=29&navoid=7326.

 

In accordance with the policy approved by the Faculty Senate regarding missed class time and assignments, students who represent UNLV in any official extracurricular activity will also have the opportunity to make up assignments, provided that the student provides official written notification to the instructor no less than one week prior to the missed class(es).

 

The spirit and intent of the policy for missed classwork is to offer fair and equitable assessment opportunities to all students, including those representing the University in extracurricular activities. Instructors should consider, for example, that in courses which offer a “Drop one” option for the lowest assignment, quiz, or exam, assigning the student a grade of zero for an excused absence for extracurricular activity is both contrary to the intent of the Faculty Senate’s policy, and an infringement on the student’s right to complete all work for the course.

 

This policy will not apply in the event that completing the assignment or administering the examination at an alternate time would impose an undue hardship on the instructor or the University that could be reasonably avoided. There should be a good faith effort by both the instructor and the student to agree to a reasonable resolution. When disagreements regarding this policy arise, decisions can be appealed to the Department Chair/School Director, College/School Dean, and/or the Faculty Senate Academic Standards Committee.

 

For purposes of definition, extracurricular activities may include, but are not limited to: academic recruitment activities, competitive intercollegiate athletics, fine arts activities, liberal arts competitions, science and engineering competitions, and any other event or activity sanctioned by a College/School Dean, and/or by the Executive Vice President and Provost. 

Rebelmail:

Rebelmail is UNLV’s official email system for students and by University policy, instructors and staff should only send emails to students’ Rebelmail accounts.  Rebelmail is one of the primary ways in which students receive official University communications, information about deadlines, major Campus events, and announcements. All UNLV students receive a Rebelmail account after they have been admitted to the University. Emailing within WebCampus-Canvas is also acceptable. 

Tutoring and Coaching:

(1) UNLV Math Tutoring Clinic is located at CDC 701. Call 895-0366 or visit http://www.unlv.edu/math/math clinic.html for more information.

 

(2) The Academic Success Center (ASC) provides tutoring, academic success coaching, and other academic assistance for all UNLV undergraduate students. For information regarding tutoring subjects, tutoring times, and other ASC programs and services, please visit the ASC website, https://www.unlv.edu/asc, or call 702-895-3177. The ASC building is located across from the Student Services Complex (SSC). Academic success coaching is located on the second floor of SSC A, Room 254. Drop-in tutoring is located on the second floor of the Lied Library, and on the second floor of the College of Engineering building (TBE A 207). 

 

(3) Virtual Math Tutoring Clinic:

 

TBA

 

UNLV Writing Center:

One-on-one or small group assistance with writing is available free of charge to UNLV students at the Writing Center, https://writingcenter.unlv.edu/, located in the Central Desert Complex, Building 3, Room 301 (CDC 3–301). Walk-in consultations are sometimes available, but students with appointments receive priority assistance. Students may make appointments in person or by calling the Center, telephone 702-895-3908. Students are requested to bring to their appointments their Rebel ID Card, a copy of the instructions for their assignment, and two copies of any writing they have completed on their assignment.

 

LECTURE-BY-LECTURE BREAKDOWN (Tentatively):