AUB-Faculty of Arts and Sciences.
Mathematics department
Semester
: Fall 2025
Course Number and Name: Math 201. Calculus and Analytic Geometry III
Prerequisite
: Math 102
Instructor
: Dr. Mohamad Menhem
Office hours
: Wednesday. 8:00-8:45 and Friday: 3:00-4:00
Location
: Bliss room 113
Textbook: Thomas’ Calculus. 13th edition. Pearson Education
Course Learning Outcomes.
Upon completion of the course, students will be able to:
1) Define the sum of a series as a limit of a sequence
2) Use tests to decide about the convergence of a series
3) Use series to approximate functions
4) Define differentiability for functions of several variables
5) Find the derivative of a function in a given direction
6) Maximize or minimize a function subject to a given constraint
7) Define the integral of a function of several variables
8) Use Fubini’s theorem to evaluate double and triple integrals
9) Apply double integrals (in Cartesian & polar coordinates) to find areas & centers of
“mass”
10) Apply triple integrals (in Cartesian, cylindrical and spherical coordinates) to find
volumes & centers of mass.
11) Study substitutions in double & triple integrals.
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Course content:
10.1 Sequences
10.2 Infinite Series
10.3 Integral Test
10.4 Comparison Tests
10.5 Absolute Convergence; Ratio and Root Tests
10.6 Alternating Series and Conditional Convergence
10.7 Power Series
10.8 Taylor and Maclaurin Series
10.9 Error Estimates
10.10 The Binomial Series
11.3 Polar Coordinates
11.4 Graphing in Polar Coordinates
12.6 Cylinders and Quadric Surfaces
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 The Chain Rule
14.5 Directional Derivative and Gradient Vectors
14.6 Tangent Planes and Differentials
14.7 Extreme Values and Saddle Points
14.8 Lagrange Multipliers
15.1 Double Integrals over Rectangles
15.2 Double Integrals over General Regions
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15.3 Area by Double Integration
15.4 Double Integrals in Polar Form
15.5 Triple Integrals in Rectangular Coordinate
15.6 Moments and Centers of Mass
15.7 Triple Integrals in Cylindrical and Spherical Coordinates
15.8 Substitutions in Multiple Integrals.
Exams:
Exam 1: Saturday, September 27 at 1:00 pm, Nicely rooms 211 and 212.
Exam 1: Saturday, November 1 at 1:00 pm, Nicely room 415.
Grading: Grades will be determined using the maximum of the following two options:
Option 1: Attendance (5%), Exam 1 (25%), Exam 2 (25%), Final Exam (45%),
Option 2: Attendance (5%), Exam 1 (15%), Exam 2 (20%), Final Exam (60%)
University Policies:
 Academic Integrity:
Please refer to AUB Student Code of Conduct:
http://www.aub.edu.lb/pnp/generaluniversitypolicies/Documents/StudentCode
Conduct/StudentCodeConduct.pdf , in particular section 1.1, which concerns
academic misconduct including cheating, plagiarism, in-class disruption, and
dishonesty. Please be aware that misconduct is vigorously prosecuted and that AUB
has a zero tolerance policy. Course policy is that credible evidence of cheating
will result in course failure.
 Recommended Accessibility Statement to Acknowledge the Unique Learning
Needs of Students with Disabilities:
AUB strives to make learning experiences as accessible as possible. If you
anticipate or experience academic barriers due to a disability (including mental
health, chronic or temporary medical conditions), please inform me immediately so
that we can privately discuss options. In order to help establish reasonable
accommodations and facilitate a smooth accommodations process, you are
encouraged to contact the Accessible Education Office: accessibility@aub.edu.lb;
+961-1-350000, x3246; West Hall, 314.
 Non-Discrimination
AUB is committed to facilitating a campus free of all forms of discrimination
including sex/gender-based harassment prohibited by Title IX. The University’s
non-discrimination policy applies to, and protects, all students, faculty, and staff. If
you think you have experienced discrimination or harassment, including sexual
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misconduct, we encourage you to tell someone promptly. If you speak to a faculty
or staff member about an issue such as harassment, sexual violence, or
discrimination, the information will be kept as private as possible, however, faculty
and designated staff are required to bring it to the attention of the University’s Title
IX Coordinator. Faculty can refer you to fully confidential resources, and you can
find information and contacts at www.aub.edu.lb/titleix . To report an incident,
contact the University's Title IX Coordinator at 01-350000 ext. 2514, or
titleix@aub.edu.lb . An anonymous report may be submitted online via Ethics Point
at www.aub.ethicspoint.com.
Course Policy:
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The grade for an unexcused missed Exam will be a zero, unless there is a valid
reason for being absent, like a medical report from AUBMC submitted to the
instructor ahead of time.
The university policy regarding incomplete work and other issues will be followed.
Check the AUB catalogue for details.
The use of personal electronic devices is not allowed in the classroom. However,
permission can be granted in case you use such a device to take lecture notes.
Students are expected to attend every lecture and every recitation. Attendance in
recitations sessions will be taken. Students are responsible for all the material
presented in class, including announcements about course procedure.
According to the university policy: “Students who miss more than 20% of the
sessions of any course prior to the withdrawal deadline can be withdrawn from
the course by the instructor and will receive a grade of W”.
Some advice for university study:
Courses at university move much more quickly than in school. It is important to keep up
with the material while it is being presented. One cannot postpone the regular work and
hope to study for the exams at the last minute. You should expect to spend 9–10 hours
per week outside class studying and absorbing the material.
Here are a few tips: Before a lecture, read the material posted on Moodle and the section
of the book that will be covered, and try to understand as much as you can. This will help
you follow the lecture a lot better. During the lecture, take careful notes of the main
topics, but please remember that lectures are not dictation. You should hope to get most
of the general idea of the material, but you need to study further to understand all the
concepts presented.
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