NYU Tandon School of Engineering
Department of Mathematics
Departmental Website:
www.math.engineering.nyu.edu
MA-UY1154 CALCULUS II WITH PRECALCULUS
Section: E - Ro o m : RH 203
Tuesday, Thursday: 4:30pm - 7:20pm
Spring2016
Faculty : Harvansh Manocha
• Email: h m 8 4 3 @ n y u . e d u
• Office: RH 323 C
• Office Hours: Tuesday, Thursday 2:00 pm to 4:00 pm
Course Pre-requisites
Math Placement Exam or successfully completed MA-UY 1054
Course Description
This course covers the concepts and theorems of definite integrals, anti- derivatives, the
Fundamental Theorems of Calculus. It emphasizes on the mastering of different
integration techniques. The course also introduces ordinary differential equations,
numerical approximation of definite integrals, and applications of integration.
Course Objectives
After completion of this course, the student will be able to:
• Understand the concept of differentiation and its applications
• Understand the concept of integration and its applications.
• Find closed forms and numerical solutions to integrals of most basic functions.
• Apply knowledge of integral calculus to solve problems in business, social science and
biology.
Course Structure
The class is composed of lectures as well as seminars regarding exercises and problems from
the textbook, worksheet, and homework. During the semester, there will be weekly
homework assignments, three exams and one final exam.
1
2
Text Required
Hoffman, Bradley, Sobecki and Price. Calculus For Business, Economics, And The
Social And Life Sciences. Eleventh (Brief Edition)
Course Information an d Grading
Your letter grade will be based on the higher average computed a ccording to the
following two formulas
MA1154 Grading Policy
Formula 1
10% Worksheets and Participation
25% Best semester exam
25% Second best semester exam
40% Comprehensive final exam
Formula 2
10% Worksheets and participation
20% exam 1
20% exam 2
20% exam 3
30% comprehensive final exam
Conversion of Course Average to Course Grade
Course Average Course Grade
90-100
A
87-89
A-
84-86
B+
80-83
B
77-79
B-
74-76
C+
70-73
C
67-69
C-
64-66
D+
50-63
D
below 50
F
Spring 2016 exam date
•
•
•
•
Mid-semester exam 1, Tue, 12:30pm-2:20pm, February 23, 2016
Mid-semester exam 2, Tue, 12:30pm-2:20pm, March 29, 2016
Mid-semester exam 3, Tue, 12:30pm-2:20pm, April 19, 2016
Final,
TBA
3
In case you miss an exam due to an illness, please see the “Office of Student Affairs” to
request a make-up exam. For all other cases, please go to RH303A Office of Freshman
Mathematics.
You may ONLY use TI-30 calculator on the exams. This is UCSC rule for
all the first year courses.
For Detail Information visit:
http://math.engineering.nyu.edu/courses/ma-uy1154/policy.phtml
Mandatory requirement
Attending lectures and recitation, completing all worksheets, and demonstrating
competency on the exams.
Examinations
Three exams given during common exam hour, and one comprehensive final exam during
the final exam week.
Moses Center Statement of Disability
If you are student with a disability who is requesting accommodations, please contact
New York University’s Moses Center for Students with Disabilities (CSD) at 212998-4980 or mosescsd@nyu.edu. You must be registered with CSD to receive
accommodations. Information about the Moses Center can be found
at www.nyu.edu/csd. The Moses Center is located at 726 Broadway on the 2nd floor.
NYU School of Engineering Policies and Procedures on Academic Misconduct
Introduction: The School of Engineering encourages academic excellence in an
environment that promotes honesty, integrity, and fairness, and students at the School
of Engineering are expected to exhibit those qualities in their academic work. It is
through the process of submitting their own work and receiving honest feedback on
that work that students may progress academically. Any act of academic dishonesty is
seen as an attack upon the School and will not be tolerated. Furthermore, those who
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A. breach the School’s rules on academic integrity will be sanctioned under this
Policy. Students are responsible for familiarizing themselves with the School’s Policy
on Academic Misconduct.
B.
Definition: Academic dishonesty may include misrepresentation, deception,
dishonesty, or any act of falsification committed by a student to influence a grade or
other academic evaluation. Academic dishonesty also includes intentionally damaging
the academic work of others or assisting other students in acts of dishonesty. Common
examples of academically dishonest behavior include, but are not limited to, the
following:
1.
Cheating: intentionally using or attempting to use unauthorized notes, books,
electronic media, or electronic communications in an exam; talking with fellow
students or looking at another person’s work during an exam; submitting work
prepared in advance for an in-class examination; having someone take an exam for
you or taking an exam for someone else; violating other rules governing the
administration of examinations.
2.
Fabrication: including but not limited to, falsifying experimental data and/or
citations.
3. Plagiarism: intentionally or knowingly representing the words or ideas of another
as one’s own in any academic exercise; failure to attribute direct quotations,
paraphrases, or borrowed facts or information.
4.
Unauthorized collaboration: working together on work that was meant to be
done individually.
5.
Duplicating work: presenting for grading the same work for more than one
project or in more than one class, unless express and prior permission has been
received from the course instructor(s) or research adviser involved.
6.
Forgery: altering any academic document, including, but not limited to,
academic records, admissions materials, or medical excuses.
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For Information on Tutoring, Workshop and Extra Help Visit:
http://math.engineering.nyu.edu/courses/help_center.phtml
Class Conduct
(1)
(2)
(3)
(4)
(5)
Self-respect and respect for others
No electronic device during lectures
No talking during lectures
Be on time
Come to class prepared
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Tentative Course Schedule (May change to accommodate student needs)
Week
s
Topics
I
Reading and Comprehension of the Syllabus
2.1–2.4 Review of Differentiation and Differentiation Techniques
3.1 Increasing and Decreasing Functions; Relative Extrema
II
3.1 More on Relative Extrema
3.2 Concavity and Points of Inflection
3.4 Optimization
III
3.5 Additional Applied Optimization
Review For Exam 1
Exam 1
4.1 Exponential Functions
4.2 Logarithmic Functions
IV
4.3 Differentiation of Exponential and Logarithmic Functions
V
4.4 Additional Applications; Exponential Models
Review For Exam 2
VI
Exam 2
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Week
s
Topics
VII
5.1 Antiderivative and Indefinite Integral
5.1 Differential Equations
VIII
5.2 Integration By Substitution
5.3 Area Under a Curve and Definite Integral
5.3 Definite Integral
Review For Exam 3
IX
Exam 3
5.4 Applying Definite Integration: (Average Value and its interpretation)
X
XI
5.5 Applications of Integration to Business and Economics
(Future and Present Values)
5.6 Applications of Integration to the Life and Social Sciences (Population
Density, Flow of Blood Through an Artery, Volume of a solid of Revolution)
XII
XIII
6.1 Integration by Parts and by Tables
Review
Cumulative Final