math-Ua.0009 / V63.0009: Algebra and calculus
Coordinator: |
Prof. Selin Kalaycioglu |
Term: | Fall 2011 |
Lectures: |
Mon-Wed or Tu-Th Location
TBD |
Office: | Warren Weaver Hall (Courant) 725 |
Office hours: | TBA |
Phone: | 212-998-3375 |
Email: | kalaycioglu@cims.nyu |
Website: |
http://www.cims.nyu.edu/~kalaycioglu/Selin_Kalaycioglu/Welcome.html |
Prerequisites
Students who wish to enroll in Algebra and Calculus must meet the following prerequisites:
- Prerequisite: High school math or permission of the department.
Goals
- In
this
course
you
will
be prepared for the rigors of the CIMS Calculus
sequence. Specifically, you
will work with a standard library of single variable functions in order to understand their algebraic and geometric properties. These functions will form the foundations of a mathematical toolbox on which you will rely throughout any future mathematics course.
Topics
- We will begin by understanding what a function is and how it can
be represented geometrically as a graph. We will then learn some
standard function manipulations (algebraic combinations, composition,
inverses, etc.) focusing on how such manipulations affect the shape of
the graph. Then we will go through a list of classic functions
(polynomial, rational, trigonometric, exponential, logarithmic, etc.)
learning their algebraic and geometric properties, emphasizing the
relationship between them.
Course Details
Textbook and Materials
You need a textbook and you need WebAssign access. PreCalculus: Mathematics for Calculus by Stewart,
Redlin and Watson is the official textbook for the course. NYU offers this
text bundled with access to
Enhanced WebAssign. However, you need not purchase the bundled option
if you can and a cheaper
option for the text, since you can purchase access to webassign
directly through Blackboard.
A graphing calculator is encouraged for class discussion and on homework, but not allowed for exams. No specific calculator is endorsed, so do not buy a new one. If you have one already, continue to use that one; if you do not, try free alternatives such as Wolfram Alpha.
Class Meetings
The lectures meet either on Monday and Wednesdays or Tuesday and Thursdaysalong with a 75 minute recitation session. You must register for lecture and recitation separately.Homework
There are two media for homework in Precalculus.There will be weekly online assignments administered through WebAssign (This is why a WebAssign
software license is one of the required course materials), WebAssign problems are computational in
nature and assess the techniques introduced in class. Many of these problems will resemble examples
in the textbook or from class. You will get immediate feedback on your progress and will get several
chances to ensure it. WebAssign is available directly through the course's Blackboard website available
at your home.nyu.edu account. There will also be problems to write up on paper each week and turn in.
These problems will require more than just procedure, might connect two more more things together,
and will more closely resemble the harder exam problems. Homework assignments and webassign
due dates will be available under the Assignments tab in your lecture's Blackboard site. One of the
major goals of college-level mathematics education is to move students from computational processes
to conceptual thinking and communication. That is the biggest difference between this course and a
high school course, even an Advanced Placement course. Mathematics is more than a bag of tricks
and there are not a limited number of "types" of problems that can be asked. The goal in class is
to prepare you to do the homework and not necessarily to show you how to do your homework. The
learning occurs when you can move yourself into the unknown territory.
Graders will grade the written homework promptly, and solutions will be made available on the course
website. Graders will be expecting you to express your ideas clearly, legibly, and completely, often
requiring complete English sentences rather than merely just a long string of equations or unconnected
mathematical expressions. This means you could lose points for unexplained answers.
In fairness to fellow students and to graders, late homework will generally not be accepted. Because
sometimes things more important than math homework come up, you have some free passes: Your 2
1lowest written assignment score and your three lowest WebAssign scores will be dropped in the final
grade calculation.
By all means you may work in groups on the homework assignments. Collaboration is a big part of
learning and of scholarship in general. However, each student must turn in his or her own write-up of
the solutions, with an acknowledgment of collaborators.
There is free math tutoring sponsored by the math department, meeting in room 524 of Warren Weaver
Hall. Check the signs posted throughout WWH and the tutoring web page.
In-Class Work
In-Class Work There will also be in class assignments given during recitation. These may be any typeof worksheets, exercises, presentations, quizzes etc. Quizzes are intended to provide practice for the
exams and to give students feedback on how well they know the most important core topics of this
course. If a student has a weakness in a particular area, it is better to and out on a quiz rather than on
an exam. Quizzes will be timed at fifteen minutes and will be given at the beginning of each recitation
sessions. The quiz questions will consist of exercises that are similar to HW problems and examples
covered in class. Each quiz will be based on the sections covered by the preceding HW assignment.
Before computing the overall semester quiz score, the lowest two scores will be dropped. In general,
missed quizzes may NOT be made up.
Policy on missed in-class assignments
We are only able to accommodate a limited number of out-of-sequence exams due to limited availability of rooms and proctors. For this reason, we may approve out-of-sequence exams in the following cases:1. A documented medical excuse
2. A university sponsored event such as an athletic tournament, a play, or a musical performance.
Athletic practices and rehearsals do not fall into this category. Please have your coach, conductor,
or other faculty advisor contact your instructor
3. A religious holiday
4. An extreme hardship such as a family emergency
We will not be able to accommodate out-of-sequence exams, quizzes, and finals for pur-
poses of more convenient travel, including already purchased tickets.
If you require additional accommodations as determined by the Center for Student Disabilities, please
let your instructor know as soon as possible.
Exams
There will be two midterm exams held in class.
The final exam will be Friday, December 23 from 8:00-9:50am. Please
make a note of it and plan your
summer travel schedule accordingly.
Exams will contain a mixture of computational and conceptual
problems. Some of them will resemble
homework problems, while some will be brand new to you.
Grading policy
Your course score will be determined as the following weighted
average:
Midterm 1 20%
Midterm 2 20%
WebAssign 10%
Written Homework 10%
In-Class work 10%
Final 30%
Total 100%
We will convert this score to a letter grade beginning with these
values as cutoffs:
Cutoff/Letter Grade
93/ A
90/ A-
87/ B+
83/ B
80/ B-
75/ C+
65/C
50/ D
CAS Policy on Academic Integrity
The College is a community of the mind. Its students, faculty, and
staff all share the goal of pursuing truth through free and open
inquiry, and we support one anothers endeavors in this regard. As in
any community, membership comes with certain rights and
responsibilities. Foremost among these is academic integrity. Cheating
on an exam, falsifying data, or having someone else write a paper
undermines others who are doing it on their own; it makes it difficult
or impossible to assess fairly a students interest, aptitude, and
achievement; and it diminishes the cheater, depriving him or her of an
education. Most important, academic dishonesty is a violation of the
very principles upon which the academy is founded. Thus, when students
enter the College, one of the first things that they are asked to do is
to sign a community compact, recognizing these principles of academic
integrity. For this reason also, violations of these principles are
treated with the utmost seriousness.