MAC2312
CALCULUS II
Monday 11:00 – 11:50 am
Tuesday-Thursday: 11:15-12:30 pm
Room: 9218
Reference Number: #640727
Professor : Dr. Alicia Serfaty de Markus
Office: 3238-1 (ext to Math Dep.)
Phone: 305-2372475
E-mail: aserfaty@mdc.edu
Mail-Box: 3245 (Math Dept.)
Course Web page: http://faculty.mdc.edu/aserfaty
Office Hours:
Monday
9:00-10:50 AM
Tuesday
12:40-3:20 PM
Wednesday
9:00-12:00 AM
Thursday
12:40-3:20 PM
Friday
NONE
Course Prerequisites: CALCULUS I (MAC2311)
Text: Calculus (Early Transcendental Functions), Larson, R. and Edwards, B., Fifth Ed, Brooks/Cole, 2011.
The Course Description: This course continues the development of calculus in one variable. Topics covered
include advanced integration techniques (integration by parts, trig. integrals, numerical integration, etc), further
applications of integration, sequences and series, functions represented by power series, Taylor and Maclaurin
series, parametric and polar representations.
The Topics:
This course introduces the following topics found at the indicated chapters:
Techniques of Integration and some applications: Chapter 8 (All) + Sect. 5.6 + Sect. 7.4
In addition to the substitution rule covered in Calculus I, this chapter presents the other important method to
integrate: integration by parts. From there the chapter covers, a variety of techniques that are appropriate for
particular classes of functions, such as trigonometric functions and rational functions. Integration using tables
and CAS is shown, and some numerical methods are covered as well, with discussion of the approximation
errors. The concept of a definite integral is extended to improper integrals, where the integration interval is
infinite and/or the function has an infinite discontinuity in the interval. Also included in this topic is the
treatment of Indeterminate Forms and the L’Hopital’s Rule, and some geometric applications such as the
length of plane curves, the area of a surface of revolution, and . ALL SECTIONS: 8.1-8.8
Infinite Series: Chapter 9 (All)
The unifying idea in this chapter is to represent a function as a sum of infinite series. This idea is very useful for
integrating functions that don’t have elementary antiderivatives, for solving differential equations and for
approximating functions by polynomials. A sequence is an ordered list of numbers and a series is the sum of a
list of numbers. As we add the terms of an infinite sequence to obtain an (infinite) series, it is imperative to
asses if this sum converges to a number or diverges. Therefore in this chapter we cover a number of
convergence tests, as well as numerical estimates of sum of series. The emphasis is on Taylor and Fourier series
and polynomials and their application to science. ALL SECTIONS 9.1-9.10
Conics, Parametric Equations and Polar Coordinates : Chapter 10
We give basic geometric definitions of parabolas, ellipses, and hyperbolas as the graphs of quadratic equations
in the coordinate plane. Usually planar curves are described by a function y = f(x) represented by graphs in a
rectangular or Cartesian system. But there are situations in which is much more advantageous to represent
certain curves (ellipses, cycloids, roses, etc) in a different system. In this chapter we discuss two coordinates
systems for describing curves: parametric and polar system. In the parametric system both x and y are given in
terms of a third variable t called a parameter. In the polar coordinate system a point (x, y) is represented by
coordinates (r, ) where r is a distance from the origin and  is the angle respect to a line called the polar axis
(where the origin is located). The methods of calculus are applied to these parametric or polar curves to find
tangents, areas, arc length and surface area. Selected sections.
Additional topics may be included at the instructor‘s discretion.
Attendance: Class lectures, discussions and exercises sessions are considered to be crucial to succeed in this
course. Attendance is mandatory, and will be recorded for administrative purposes every class session. If you miss
more than 3 classes, you may be purged from the course. It is your responsibility to attend each lecture and keep
records of assignments and other information delivered during class. If you cannot attend class, it is a common
courtesy to email me or leave me a phone message. Because of the number of students in all of the Professor’s
classes, it is not possible to personally inform each absent student of the material that is missed due to an absence,
or the corresponding assignment. For this reason, please have the name and phone number of at least one other
student in the class that you can call and ask for missed lecture notes and assignments
Classroom decorum: In order to optimize your learning experience, classroom interruption must be kept to a
minimum. Please make every effort to arrive on time and avoid causing an interruption if you need to leave early.
Please turn your cell phone to a silent mode and avoid using it during class. In an emergency, you may excuse
yourself and leave the classroom.
Academic dishonesty: Any instance of academic dishonesty will result in a grade of F for the course and can
carry an even more severe penalty such as suspension or expulsion. Take pride in your own achievements, an
unearned passing grade is not worth the paper it is written on
.
Scientific Calculator: Use of scientific calculators will be permitted, but not required, during tests. Graphing
calculators can be used in class, but are not permitted in the exams. Smartphones, and calculators with a built-in
Computer Algebra System (CAS) such as TI-89, TI-92, and hp49g; and Personal Digital Assistants (PDAs) and
other portable computers, such as PalmOS and Windows CE devices are not permitted in exams, unless explicitly
stated by the professor.
The tests:
Please note: Specific dates and topics will be announced in class and posted in the Professor’s web site, and
altered at the discretion of the Professor. It is your responsibility to verify dates and topics.
Grading Policies: Your final grade will be based on:


Three tests (33.3 % each)
The Final Exam (optional)
There are no make up tests: If you miss a test, the Final Exam will replace one score. The Final Exam is the only
make-up exam. If you have not missed any test, the Final Exam might replace your lowest test score.
A student’s final grade may be raised above her or his earned percentage if in the Professor’s opinion the student
shows significantly sustained effort and improved scores in the course or on the comprehensive final exam or
through other activities. The Professor will specially consider:
 Homework: Practice exercises will be assigned frequently and posted in the Professor’s web site and by
means of handouts. Although optional, homework will help the Professor decide a final grade in a
borderline situation, therefore homework should be submitted towards the end of the course in a separate
notebook. All written work should be neat, organized, and should show sufficiently many steps to
demonstrate a clear understanding of the techniques used.


Participation.
Attendance
The System of Evaluation:
Every test will consist of a number of “ show your work” questions, short answer, open ended and/or applications
problems where all work must show sufficient clarity and the steps to describe the procedure used to solve the
problem(s), so partial credit can be earned. Also, a number of multiple choice questions might be included.
A grade – 90% and above
B grade – between 80% and 89%
C grade – between 65% and 79%
D grade – between 50% and 64%
F grade – below 50%
In very extreme circumstances, you may request a grade of I (incomplete) only if you are passing the class and
have completed the course past the last date to drop the course with a W.
On-Campus support
The Math/Science Study Center, located in room 3326, is available to you as additional support for your academic
needs. Its operating hours are:
Monday – Thursday:
Friday:
Saturday:
9:00 AM – 9:00 PM
9:00 AM – 3:00 PM
9:00 AM – 12:00 Noon
Important Dates:
 Last day to change courses with a 100% refund: Friday August 26.
 Last day to withdraw with grade of W: Monday October 31.
 Last day of classes: Friday December 9.
 Finals exams week: December 12-16.
 Holidays: Monday September 5, Friday November 11, Thursday November 24, and Friday November 25.