NYIT, Old Westbury Campus
Department
of Mathematics
Math 170 – Calculus I
Class Hours: Mon/Wed :
Spring Term, 2009 Instructor: Dr. Ranja Roy
Office Hours: Mon- 8:45 AM- 9:30 AM Office: HSH- Room 123
Tue- 9 AM– 11:30 AM
Wed- 8:45 AM- 9:30 AM Phone: 686-1096
And by
appointment. Email: rroy@nyit.edu
Text: Single Variable Calculus,
by Smith, Robert T. and Minton, Ronald B., 3rd ed., 2001, McGraw-Hill, (ISBN
978-0-07-287030-5)
Calculator: TI-86 required for quizzes,
tests and final. Please bring your calculator to every class.
Course Description: This is the first course in
our Calculus sequence. We will study all the topics underlying a remarkable
achievement of the human intellect: the differential calculus of
single-variable functions. The material to be covered includes: functions,
limits and continuity, derivatives of functions, rules of differentiation ,
tangent lines and application problems in mechanics, related rates, maxima and
minima of functions and an introduction
to integration as an anti-derivative. A
pre-requisite for this course is a passing grade in MATH140 or TMAT 155 or
equivalent. We will use the TI-86 for class instruction, so please bring your
calculator to class.
Course Objectives: The course will provide the mathematical background necessary for the understanding of Calculus. Students taking calculus need to see how the subject matter relates to real world. So we focus on a variety of applications in geometry and mechanics. Moreover the class instruction will develop a student’s analytical skills through problem solving.
Learning Outcomes: Upon successful completion of this
course, students will be able to:
1)
Find the limit of a function using
graphical, numerical and algebraic techniques.
2)
Determine when the limit of a function
does not exist.
3)
Use the definition of continuity to
determine if a function is continuous at a point.
4)
Use the definition of the derivative to
find the derivative of an algebraic function.
5)
Sketch the graph of a derivative of a
function, when given the graph of that function.
6)
Compute derivatives of algebraic,
trigonometric, inverse trigonometric, exponential and logarithmic functions
using the constant, sum, product, quotient and chain
rules.
7)
Find derivatives of implicitly defined
functions.
8)
Find an equation to model a related rate
problem and use this equation to find the rate of change of a quantity in the
problem.
9)
Use the derivative to solve applied
optimization problem.
10)
Find an antiderivative
of a given function.
Course Outline: We will follow the common
course outline prepared by the Mathematics Department. This will cover most of
the chapters 1 through 3, and the first section of chapter 4. The detailed
outline is attached.
Course Structure: There will be 7 quizzes, 3
tests and a final exam. The worst 2 quiz grades will be dropped for fair
evaluation. Please see the attached grading criteria page for details.
Class Attendance: Attendance will be taken
regularly. If you miss more that 5 classes, you are at risk to be given “W” (withdrawn)
grade. A student may choose to withdraw from the course anytime during the
first 8 weeks of class but this requires the withdrawal paperwork to be signed
by the professor. If a student stops attending classes after the 8th
week and is failing, the grade will be WF.
Class Policies: No alternative times for
the final exams can be scheduled. Make up tests will be allowed only for a
documented illness provided you contact me before the test. There will be no
make up for quizzes. You may receive a W grade during the first 8 weeks of
class with the permission of the instructor. If you stop attending classes
after the 8th week and failing, you will receive WF.
Plagiarism
is the appropriation of all or part of someone else’s works (such as but not
limited to writing, coding, programs, images, etc.) and offering it as one’s
own. Cheating is using false pretenses, tricks, devices, artifices or deception
to obtain credit on an examination or in a college course. If a faculty member
determines that a student has committed academic dishonesty by plagiarism,
cheating or in any other manner, the faculty has the academic right to 1) fail
the student for the paper, assignment, project and/or exam, and/or 2) fail the
student for the course and/or 3) bring the student up on disciplinary charges,
pursuant to Article VI, Academic Conduct Proceedings, of the Student Code of
Conduct.
Study Suggestions: Learning Calculus requires
a substantial time and effort. You should expect to spend 6-8 hours every week
for doing the homework. Apart from doing homework regularly, it is very
important to spend some extra hours to review class notes and understand the
concepts clearly. A good knowledge of class material with problems covered in
class work and homework is key to getting a good grade in the course. Calculus
is a cumulative subject, so make sure that you do not fall behind. If you are
having difficulties understanding any class work or homework, please see me
during my office hours to discuss on a one-on-one basis. Please do not hesitate
to ask questions during lectures and outside class.
Let
us together make this course a rewarding experience. Best of luck!!!