Thomas' Calculus, Early Transcendentals,
Eleventh Edition with Media Upgrade, George Thomas, Maurice Weir,
Joel Hass, and Frank Giordano
Prerequisites: Admission to this course is based upon results
from the entrance examinations.
Examinations: There will be three midterm examinations
and a final examination. The midterm examinations are given on the
following Wednesdays at 4:15pm-5:40pm: September 24, October 29,
and November 19. The final
examination date, time, and location will be determined by the university.
Please be certain to read and understand
the Department of Mathematical Sciences
Examination Policy
as it DOES apply to this course.
Homework: Calculus plays an important role in a wide
variety of disciplines and is itself an interesting subject.
Mastery of calculus comes from practice. A minimal set of
homework problems appears on the standard Math 111
syllabus.
Additional problems will be assigned in class to reflect the
difference in depth and breadth of topics from a nonhonors section.
Homework assignments will be completed online at
www.mymathlab.com.
In order to access the assignments, you will need a student
access code. Access codes are included with the purchase of
a new book that comes bundled with MyMathLab;
codes may also be purchased separately at the
campus bookstore or online at
www.mymathlab.com.
In addition, the course code needed to access the assignments
will be given out on the first day of class.
In order to obtain additional practice on a topic, you should
feel free to work problems other than those assigned.
As a standing assignment, you should read the relevant sections
of the textbook prior to class.
Matlab is an important piece of mathematical software which
is widely used. Matlab assignments will be given that are
designed to familiarize you with this package as well
as to assist you in understanding concepts of calculus.
These assignments will be collected at the beginning of class
on the due date. Late assignments will NOT be accepted.
Early assignments are always welcomed
and are appropriate for preplanned absences from class.
Quizzes: Weekly quizzes will be given. Make up
quizzes are NOT given.
Grading: Each of the three midterm examinations
will represent 17% of your grade.
The final examination will be worth 32% of your grade. The remaining
17% of your grade will be determined by your homework and quizzes;
in calculating this quantity, I will drop your one lowest homework
score from throughout the semester.
Attendance: Attendance at and participation in all lectures
and recitations is required. If you know in advance that
you will be absent for a legitimate reason,
please tell me prior to your absence
so that appropriate arrangements regarding homework assignments can be made.
Tardiness to class is very disruptive of the
classroom environment and should be avoided.
Please be certain to read and understand
the Department of Mathematical Sciences
Attendance Policy
as it DOES apply to this course.
Honor Code: The
NJIT Honor Code
applies to all activities associated with the course,
including but not limited to homework, quizzes, examinations,
and projects. As an example, when you submit
a homework assignment, you are certifying that your paper contains only
your work and is not copied from other people or sources.
Course Topics: The topics discussed in this class appear
in Chapters 2-6 of the textbook. However, please be aware that
you are expected to have proficiency in the topics which appear
in Chapter 1.
Major topics for this course include:
Introduction to and definition of limits,
calculation of limits using limit laws,
asymptotes, velocities and tangents
Definition of derivative, calculation of derivatives
of common functions, rules for differentiation, implicit differentiation
Application of derivatives: related rates, linear
approximation, finding extrema, curve sketching, Mean Value Theorem,
evaluating limits of indeterminant forms/L'Hospital's Rule,
optimization, rootfinding
Antiderivatives, integration, Fundamental Theorem
of Calculus, substitution rule, area between curves, volumes