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MATH 283 - Calculus
and Vector Analysis (Calculus III) Section 1007, Fall 2026
(8/24/2026-12/05/2026)
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Time and Venue: |
MoWe 1:00PM - 2:15PM
@ SEB 1243 |
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Instructor: |
Dr. Pengtao Sun |
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Office Hours: |
MoWe 2:30PM - 3:30PM, or by
appointment @ SEB-2129 |
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Email: |
pengtao.sun@unlv.edu |
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URL: |
http://faculty.unlv.edu/sun |
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Phone: |
(702) 895-5175 |
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Textbook: |
Essential Calculus (Early
Transcendentals) by James
Steward, 2nd edition |
Breakout Session
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Time and Venue: |
(1005) Fr 2:30PM - 3:45PM, CHB
C113
(1006) Fr 4:00PM - 5:15PM, CHB
C113
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Graduate Teaching Assistant: |
Linjie Ying |
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Office Hours: |
Th 2:30pm-4pm, Fr 1:00pm- 2:30pm @ CDC-703 |
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Email: |
yingl1@unlv.nevada.edu |
CATALOG DESCRIPTION: CALCULUS AND VECTOR ANALYSIS (4 credits) contains
vectors, quadratic surfaces, vector-valued functions, functions of several
variables, double and triple integrals, vector Calculus, line integrals, Green's
Theorem, surface integrals, and Stokes' Theorem. The topical outline of course
objectives is the following:
| Chapter 10
|
Vectors and the Geometry
of Space |
| Chapter 11 |
Partial Derivatives |
| Chapter 12 |
Multiple Integrals |
| Chapter 13 |
Vector Calculus (optional) |
PREREQUISITE: Math 182.
COURSE LEARNING OUTCOMES:
A student who successfully completes this
course should be able to:
- analyze position,
velocity, and acceleration in two or three dimensions using the
calculus of vector valued functions.
- use partial
derivatives to calculate rates of change of multivariate
functions.
- use multiple integrals
to compute the volume, mass, center of mass, and related
quantities for multivariate functions.
- compute line
integrals, including those representing work done by a variable
force in a vector field.
STUDENT LEARNING
OUTCOMES: Upon
successful completion of this course, students are able to do the
following:
- use vector analysis to
find equation of line and equation of plane in multi-dimensional
settings.
- find partial
derivatives, directional derivatives, and gradient vectors.
- solve extreme value
problems by applying various techniques.
- evaluate double,
triple, and line integrals.
- demonstrate intuitive
understanding the main theorems in vector calculus.
- solve application
problems.
TEST AND GRADING POLICY:
There will be five (50 minutes) quizzes,
one (1 hour and 15 minutes) midterm exam, and one (2-hour) final exam. Two
lowest
quizzes will be dropped. Each quiz is worth 12% and covers recently learned
sections in the past 2-3 weeks. Each exam is worth 25%, where the
midterm exam will test Chapters 10 & 11, and the remaining chapters/sections
will be tested by the (noncumulative) final exam.
Grades will be assigned on the basis of total
100 points,
distributed as follows:
|
Three quizzes |
12% each, total 36% |
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Two exams |
25% each, total 50% |
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Homework |
14% |
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Total |
100 |
Final course letter grades will be assigned as follows:
|
A |
95-100 |
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A- |
90-94 |
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B+ |
85-89 |
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B |
80-84 |
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C+ |
75-79 |
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C |
70-74 |
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D |
60-69 |
|
F |
0-59 |
NOTE: Your grade will be based EXCLUSIVELY on
the homework, quizzes and examinations.
CLASS POLICIES:
HOMEWORK:
The homework problems that you should
work on after each lecture class are given on the assignment list. You are required to do
the homework outside of class. Homework are collected on Monday, and
are returned to you in the
breakout session on Friday, during which the homework problems are reviewed by the teaching assistant.
QUIZZES & EXAMS:
The scheduled quizzes are designed on
the biweekly basis, will be given in the discussion class (the last 50
minutes) on every other Friday. The midterm exam will be given in the
discussion class (the entirely 75 minutes) on Friday as
well
in the 8th week.
You will receive your tests and grades back in the discussion
class on the following Friday, additionally, tests will be reviewed by the
teaching assistant during the discussion class.
ATTENDANCE:
You are required to attend class
regularly. If you miss a class for any reason, you are responsible for all
materials covered, and announcements made in your absence.
MISSED TESTS:
You might have one chance to make up a
missed quiz or midterm exam if you could provide an officially documented
reason to excuse your absence at least two days before the scheduled testing
day. Note that the instructor is the only one who can
determine if you could
be allowed to make up a missed test.
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.
Therefore, the final number does not matter but only the step-by-step
derivation matters in each test, though, scientific (non-programmable and
non-graphing) calculators are still
allowed during quizzes and exams.
UNIVERSITY POLICIES:
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.
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/.
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).
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):
WEEK
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DAY/DATE
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SECTION(S) COVERED
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1 |
Monday Aug 24 |
CLASS BEGINS
Introduction/10.1,
10.2 |
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Wednesday
Aug 26 |
10.2 |
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Friday
Aug 28 |
DISCUSSION |
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2 |
Monday Aug 31 |
10.2, 10.3 |
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Wednesday
Sept 2 |
10.3, 10.4 |
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Friday
Sept 4 |
QUIZ #1 |
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3 |
Monday
Sept 7 |
Labor Day Recess
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Wednesday
Sept 9 |
10.4, 10.5 |
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Friday
Sept 11 |
DISCUSSION |
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4 |
Monday
Sept 14 |
10.5
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Wednesday
Sept 16 |
10.6,
10.7
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Friday
Sept 18 |
QUIZ #2 |
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5 |
Monday
Sept 21 |
10.7
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Wednesday
Sept 23 |
10.8 |
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Friday
Sept 25 |
DISCUSSION |
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6 |
Monday
Sept 28 |
10.8, 10.9 |
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Wednesday
Sept 30 |
10.9, 11.1, 11.2 |
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Friday
Oct 2 |
QUIZ #3 |
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7 |
Monday
Oct 5 |
11.2, 11.3 |
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Wednesday
Oct 7 |
11.3, 11.4 |
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Friday
Oct 9 |
DISCUSSION |
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8 |
Monday
Oct 12 |
11.4, 11.5 |
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Wednesday
Oct 14 |
11.6 |
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Friday
Oct 16 |
MIDTERM EXAMINATION |
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9 |
Monday
Oct 19 |
11.7 |
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Wednesday
Oct 21 |
11.7, 11.8 |
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Friday
Oct 23 |
DISCUSSION |
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10 |
Monday
Oct 26 |
11.8, 12.1 |
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Wednesday
Oct 28 |
12.2, 12.3 |
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Friday
Oct 30 |
Nevada Day Recess
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11 |
Monday
Nov 2 |
12.3, 12.4 |
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Wednesday
Nov 4 |
12.5 |
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Friday
Nov 6 |
QUIZ #4 |
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12 |
Monday
Nov 9 |
12.6, 12.7 |
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Wednesday
Nov 11 |
Nevada Day Recess
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Friday
Nov 13 |
DISCUSSION |
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13 |
Monday
Nov 16 |
12.7, 12.8 |
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Wednesday
Nov 18 |
12.8 |
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Friday
Nov 20 |
QUIZ #5 |
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14 |
Monday
Nov 23 |
12.8
REVIEW
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Wednesday
Nov 25 |
Early Study Week |
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Friday
Nov 27 |
Thanksgiving Day
Recess |
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15 |
Monday
Nov 30 |
Study Week |
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Wednesday
Dec 2 |
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Friday
Dec 4 |
DISCUSSION |
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16 |
Monday
Dec 7 |
FINAL EXAMINATION
1:00 PM - 3:00 PM |
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