Please read textbook if neededAnswer questions in full sentences. Answers should be between approx. 200 – 400 words each.Answer all questions1. Why do you think we define art primarily visually? What other ways are there to think about art?2. What do you feel art’s greatest purpose is?3. Expression is the manifestation of the artist’s perception and response. Each culture may convey these experiences differently. What role do you think your cultural background plays in the way that you are able to/want to think about art?4. Think of the home where you grew up. What do you think is the most “artistic” thing that was in your home? Is it a piece of art, an object, a room, an area, a pattern, an item of clothing, a rug, a dish, a watch, etc. Write about it in regard to the terms discussed in this chapter-(textbook pdf is posted below) . Can anything be understood as art if discussed with the right vocabulary? Why or why not?Art Experience: Be an art photographer. Photograph five objects you think function as art and explain why you chose them. Choose objects that are familiar to you in your everyday life.Each photo should have an explanation of 150 words. Photos can be submitted in black and white.Due: Thursday, Sept. 17th – 11:59pm
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NASSAU COMMUNITY COLLEGE
DEPARTMENT OF MATHEMATICS/COMPUTER SCIENCE/INFORMATION TECHNOLOGY
Course Syllabus for
Dr. Marc Zucker
via Zoom through BlackBoard
M/W 2:00 – 3:15
T/Th 6:20 – 8:20
via Zoom through BlackBoard
MAT 111 Precalculus
Prerequisites: College Placement Test or at least a ‘C’ in MAT 109 or MAT 116
Students must have satisfied all MAT, ENG 001 and RDG 001 remediation requirements prior to starting the course.
Description: This is a preparatory course for the study of calculus. The function concept plays a unifying role in the study
of polynomial, rational, exponential, logarithmic, and trigonometric functions. Modeling, using elementary functions, is
stressed throughout the course, along with a basic philosophy of examining the function concept using the Rule of Four,
i.e., every topic should be presented graphically, numerically, analytically, and verbally. semester.
Calculator Requirement: The TI-83 or TI-84 graphing calculator is required and will be used extensively throughout the
course. (The TI-83 Plus and the TI-84 Silver Edition are also acceptable.) However, if the student does not already own one
of the listed calculators (s) s/he is encouraged to buy the TI-84 Plus Silver Edition.
MAT 111 satisfies SUNY GEN ED-GMAT; NCC GEN EDMATH
This course you have registered for is a REMOTE LEARNING class. As per the college’s minimum
requirements for instruction for remote learning, this course will be delivered using videoconferencing and
Therefore, to be able to complete this course, the following are necessary:
You will need a stable internet connection.
2. You will need a device that has:
1. audio and video capabilities
2. the ability to access the full capabilities of BlackBoard (i.e. upload/download files, take exams,
3. the ability to access the full capabilities of any courseware required by your instructor. (i.e.
Publisher products such as MyMathLab, WileyPlus, Development tools such as Eclipse)
4. the ability to access the full capabilities of the video conferencing software (i.e. ZOOM)
The college has a limited number of loaner machines. If you feel you will need to take
advantage of this program, you may apply for a loaner machine through the portal’s Launchpad
under the “Student Computer Equipment Loan” link.
3. You must have the ability to create a single .pdf file, containing multiple pages, with a device that can be viewed
on camera while the .pdfs are being created.
There are several free apps for the iPhone and Android including, but not limited to, Notes for
IPhone, Genius Scan and Camscanner.
4. You must access your NCC email regularly. All communications will come via your NCC account. Information will
NOT be sent to other accounts.
5. You must become familiar with the use of BlackBoard and the various links to get help using BlackBoard. Once
you log into the Portal and follow the NCC Online link, you can access the NCC Online Student Orientation or
access the Support Tab to get more help.
DETAILED TOPICS OUTLINE
MAT 111 PRECALCULUS
●Exponents and Radicals: Notation and Simplification.
●Algebraic Expressions: Operations, Special Product Formulas, Factoring. Special Factoring Formulas, Factoring
●Rational Expressions: Domain, Simplifying, Operations, Compound Fractions, Rationalizing, Avoiding Common
●Equations: Solving Linear Equations, Solving Quadratic Equations (Simple, Quadratic Formula, Completing the
Square), The Discriminant, Other Types of Equations (Fractional, Radicals, Fractional Powers, Fourth Degree
Equation of Quadratic Type).
●Modeling With Equations: Making and Using Models, Renting a Car, Interest on an investment, Problems about
Area or Length, Dimensions, etc.
●Inequalities: Solving Linear Inequalities, Solving Nonlinear Inequalities, Absolute Value Inequalities, Modeling
●Coordinate Geometry: The Coordinate Plane, The Distance and Midpoint Formulas, Graphs of Equations in Two
Variables, Intercepts, Circles, Symmetry .
●Graphing calculators: Solving equations and inequalities graphically.
●Lines: The Slope of a line, Point-Slope Form of the equation of a Line, Slope-Intercept Form of the Equation of a
Line, Vertical and Horizontal Lines, General Equation of a line, Parallel and Perpendicular Lines, Modeling with
Linear Equations: Slope as Rate of Change.
●What is a Function: Functions All-Around Us, Definition of a Function, Evaluating a Function, Domain of a
Function, Rule of Four.
●Graphs of Functions: Graphing Functions by plotting points, Graphing Functions with a Graphing Calculator,
Graphing Piecewise Defined Functions, The Vertical Line Test, Equations That Define Functions.
●Gathering Information from the Graph of a Function: Values of a Function; Domain and Range, Increasing and
Decreasing Functions, Local Maximum and Minimum Values of a Function.
●Average Rate of Change: Linear Functions Have Constant Rate of Change.
●Transformations of Functions: Vertical Shifting, Horizontal Shifting, Reflecting Graphs, Vertical Stretching and
Shrinking, Horizontal Stretching and Shrinking, Even and Odd Functions.
●Combining Functions: Sums, Differences, The Inverse of a Function, Graphing the Inverse of a Function. Products,
and Quotients, Compositions of Functions.
●Horizontal Line Test.
3. Polynomial and Rational Functions:
●Quadratic Functions and Models: Graphing Quadratic Functions, Maximum and Minimum Values of Quadratic
Functions, Modeling with Quadratic Functions.
●Polynomial Functions and Their Graphs: Graphing Basic Polynomial Functions, End Behavior and the Leading
Term, Using Zeros to Graph Polynomials, Shape of the Graph Near a Zero, Local Maximum and Minimum of
●Rational Functions: Rational Functions and Asymptotes, Transformations of y=1/x, Asymptotes of Rational
Functions, Graphing Rational Functions, Applications.
Exponential and Logarithmic Functions
●Exponential Functions: Exponential Functions, Graphs of Exponential Functions, Compound Interest.
●The Natural Exponential Function: The number e, The Natural Exponential Function, Continuously Compounded
●Logarithmic Functions: Logarithmic Functions, Graphs of Logarithmic Functions, Common Logarithms, Natural
●Laws of Logarithms: Laws of Logarithms, Expanding and Combining Logarithmic Expressions, Change of Base
●Modeling with Exponential and Logarithmic Functions: Exponential Growth (Doubling Time), Exponential Growth
(Relative Growth Rate), Radioactive Decay, Newton’s Law of Cooling, Logarithmic Scales.
Trigonometric Functions: Unit Circle Approach
●The Unit Circle: The Unit Circle, Terminal Points on the Unit Circle, The Reference Angle.
●Trigonometric Functions of Real Numbers: The Trigonometric Functions, Values of the Trigonometric Functions,
●Trigonometric Graphs: Graphs of Sine and Cosine, Graphs of Transformations of Sine and Cosine, Using Graphing
Devices to Graph Trigonometric Functions.
●More Trigonometric Graphs: Graphs of Tangent, Cotangent, Secant, and Cosecant, Graphs of Transformations
of Tangent and Cotangent, Graphs of Transformations of Cosecant and Secant.
●Inverse Trigonometric Functions and Their Graphs: The Inverse Sine Function, The Inverse Cosine Function.
●Solving Trigonometric Equations, Modeling with Trigonometric Functions.
Learning Outcomes and Objectives
To develop the basic concepts of functions and modeling that are used with respect to various frameworks of application
In addition, this course will prepare students for the Calculus sequence and acquaint students with topics that are necessary
in the science and business fields.
To enable the student to:
demonstrate an understanding of the fundamental concept of a mathematical function and all of its
properties (domain, range, etc.)
construct a formula or equation using the appropriate type of function to fit given data, a graph, or an
applied physical situation, especially involving rational functions, quadratic functions, linear or
exponential growth or decay or periodic behavior; analyze the function or solve the equation as
appropriate and derive and discuss in writing the desired results
justify solutions and the problem solving process; verify and interpret solutions with respect to the original
utilize their knowledge and understanding for real world problem solving
SUNY General Education Goals & Outcomes
1. Draw Inferences from Mathematical Models
Students will demonstrate the ability to and draw inferences from mathematical models such as formulas,
graphs, tables, and schematics.
1.1 Mathematical Interpretation
Students will interpret variables, parameters, and other specific information within a mathematical model.
1.2 Draw Inferences
Students will draw inferences about the situation being modeled mathematically.
1.3 Verbal Interpretation
Students will verbally interpret the results of their analysis of the mathematical model.
2. Represent Mathematical Information
Students will demonstrate the ability to represent mathematical information symbolically, visually,
numerically and verbally.
2.1 Mathematical Information
Students will employ the appropriate representation to display the mathematical information.
2.2 Mathematical Terminology
Students will clearly define variables; draw, scale and label graphs; use correct mathematical terminology and/or
3. Employ Quantitative Methods
Students will demonstrate the ability to employ quantitative methods such as arithmetic, geometry, or
statistics to solve problems.
3.1 Identify Quantitative Methods
Students will be able to identify a specific numeric, algebraic, or statistical method(s) needed to solve a problem .
3.2 Applying Quantitative Methods
Students will apply the method identified, and correctly solve the problem.
4. Check Mathematical Results for Reasonableness
Students will demonstrate the ability to estimate and check mathematical results for reasonableness.
Students will estimate and justify a mathematical result to a problem.
Students will articulate a justification for the estimate using a clearly defined logical plan.
5. Recognize Limits
Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.
5.1 Real Life Comparison
Students will describe how the results of the mathematical model may differ from the real-life situation it is
5.2 Mathematical Assumptions
Students will articulate the assumptions made in developing a mathematical/statistical model.
This course will be taught using a variety of remote instructional methods.
Textbook and Materials
• Required textbook: Pre-Calculus: Enhanced with Graphing Utilities 8th edition by Sullivan & Sullivan,
published by Prentice Hall Electronic Reference: MyMathLab.com
This course is a 4 credit course using publisher materials. Through the NCC Access program you should have
been charged $104 for this course. For more information on this program you can
Student Responsibilities / Course Policies
It is expected that you attend class regularly, arrive on time and stay for the
entire period. You should be prepared for class with your text (hard copy or
etext), calculator, relevant handouts, notebook, and writing implements. During
class, you should be taking notes and participating in our discussions. All
students are expected to show respect for all others at all times – phones are to
be turned off. In addition, classroom interruptions will not be tolerated. This
includes, but is not limited to, texting, late arrivals, walking out in the middle of
class, “private” conversations, etc. Students are responsible (even if absent) for
all material covered in class, all assignments, and announcements made in class.
Homework is a necessary component to this class. All homework will be
assigned on MyMathLab. Assignments will have an open and a close date. You
are encouraged to do the HW as soon as it is assigned to avoid any technical
problems. Assignments will not be reopened due to lack of planning on your
part. MyMathLab has other features that you are encouraged to use and take
advantage of. This is your review for exams! Do not wait until an exam is
announced to review.
All students are expected to arrive on time and not leave prior to the end of
class. Excessive latenesses/absences will prevent you from taking advantage of
replacing a low exam with your final exam grade if it helps your grade. A student
that comes excessively late may be marked as absent.
Missed exams/quizzes policy
There will be no make-up exams. Quizzes might be introduced dependent
upon need. If they are, they will count as an exam and replace the lowest exam.
Withdrawals will be granted until the day of the final.
Academic Dishonesty & Plagiarism
Academic dishonesty, which includes plagiarism and cheating, will result in some form of disciplinary
action that may lead to suspension or expulsion under the rules of the Student Code of Conduct.
Cheating can take many forms including but not limited to copying from another
student on an examination, using improper forms of assistance, or receiving unauthorized aid when
preparing an independent item of work to be submitted for a grade, be it in written, verbal or
electronic form. Anyone who assists or conspires to assist another in an act of plagiarism or any
other form of academic dishonesty may also be subject to disciplinary action.
Plagiarism is a particular type of academic dishonesty that involves taking the words, phrases or ideas
of another person and presenting them as one’s own. This can include using whole papers and
paragraphs or even sentences or phrases. Plagiarized work may also involve statistics, lab
assignments, art work, graphics, photographs, computer programs and other materials. The sources of
plagiarized materials include but are not limited to books, magazines, encyclopedias or journals;
electronic retrieval sources such as materials on the Internet; other individuals; or paper writing
A student may be judged guilty of plagiarism if the student:
(a) Submits as one’s own an assignment produced by another, in whole or in part.
(b) Submits the exact words of another, paraphrases the words of another or presents statistics, lab
assignments, art work, graphics, photographs, computer programs and other materials without
attributing the work to the source, suggesting that this work is the student’s own.
Allegations of student plagiarism and academic dishonesty will be dealt with by the appropriate
academic department personnel. It is the policy of Nassau Community College that, at the discretion of
the faculty member, serious acts will be reported in writing to the Office of the Dean of Students,
where such records will be kept for a period of five years beyond the student’s last semester of
attendance at the College. These records will remain internal to the College and will not be used in any
evaluation made for an outside individual or agency unless there is a disciplinary
action determined by a formal ruling under the Student Code of Conduct, in which case only those
records pertaining to the disciplinary action may apply. A student whose alleged action is reported to
the Office of the Dean of Students will be notified by that office and will have the right
to submit a letter of denial or explanation. The Dean will use his/her discretion in determining
whether the alleged violation(s) could warrant disciplinary action under the Student Code of Conduct.
In that case the procedures governing the Code of Conduct will be initiated.
• Copyright statement: The Higher Education Opportunity Act of 2008 (HEOA) requires the College to
address unauthorized distribution of copyrighted materials, including unauthorized peer-to-peer file
Thus, the College strictly prohibits the users of its networks from engaging in unauthorized distribution
of copyrighted materials, including unauthorized peer-to-peer file sharing. Anyone who engages in
such illegal file sharing is violating the United States Copyright law, and may be subject to criminal and
civil penalties. Under federal law, a person found to have infringed upon a copyrighted work may be
liable for actual damages and lost profits attributable to the infringement, and statutory damages of up
to $150,000. The copyright owner also has the right to permanently enjoin an infringer from further
infringing activities, and the infringing copies and equipment used in the infringement can be
impounded and destroyed. If a copyright owner elected to bring a civil lawsuit against the copyright
infringer and ultimately prevailed in the claim, the infringer may also become liable to the copyright
owner for their attorney’s fees and court costs. Finally, criminal penalties may be assessed against the
infringer and could include jail time, depending upon the severity of the violation. Students should be
aware that unauthorized or illegal use of College computers (such as engaging in illegal file sharing and
distribution of copyrighted materials), is an infraction of the Student Code of Conduct and may subject
them to disciplinary measures. To explore legal alternatives to unauthorized downloading, please
consult the following website: http://www.educause.edu/legalcontent.
Labs and learning centers: MATH CENTER REQUIREMENT
If needed, students are encouraged to avail themselves of further study and/or educational assistance
available in the Mathematics Center located in B-l30. These activities and use of the resources
provided are designed to help the student master necessary knowledge and skills.
Extra help options
Office hours and the Mathematics Success Center and the Mathematics Center.
These will all be offered over zoom, details will be forthcoming.
REMOTE LEARNING NOTE: You will be provided with information on how to access remote tutoring
services for the semester.
Assessments and Grading Methods
• Exams: 20% each – There will be THREE interim tests. There are no make-up exams. Any missed test
will be given a grade of zero. With this in mind, any student who has no more than three absences
may use their final exam grade to also replace a missed exam or low grade if it helps their test average.
Any student with more than three absences will have their grade based upon the work completed
including zeroes for missed work.
• Homework: 20% – there will be homework assigned nightly through MyMathLab. These are due by the
end of day of the next class meeting.
• Final Exam: 20% – there will be a cumulative final.
Americans with Disabilities Statement & Non-Discrimination Statement (NCC Required)
• “If you have a physical, psychological, medical, or learning disability that may have an impact on your
ability to carry out the assigned coursework, I urge you to contact the staff at the Center for Students
with Disabilities (CSD), Building U, (516)572-7241, TTY (516)572-7617. The counselors at CSD will
review your concerns and determine to what reasonable accommodations you are entitled as covered
by the Americans with Disabilities Act and section 504 of the Rehabilitation Act of 1973. All
information and documentation pertaining to personal disabilities will be kept confidential.”
Course Schedule and Important Dates
MAT 111 – EA1 Fall 2020 Tentative Schedule
The following is intended to provide you with a tentative outline of how this course will progress. Dates of exams may be adjusted to account for progress of the class as a whole.
1.2 The Distance and Midpoint Formulas
1-Sep 1.6 Circles
3-Sep 2.2 The Graph of a Function
2.3 Properties of Functions
10-Sep 2.4 Piecewise-defined Functions
3.1 Properties of Linear Functions and Linear Models
3.3 Quadratic Functions and Their Properties
17-Sep 3.4 Build Quadratic Models from Verbal Descriptions and From Data
5.1 Composite Functions
15-Oct 5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
20-Oct 5.4 Logarithmic Functions
5.4 Logarithmic Functions, continued
22-Oct 5.5 Properties of Logarithms
5.7 Financial Models
29-Oct 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
3.5 Ineualities Involving Quadratic Functions
2.5 Graphing Techniques: Transformations
4.1 Polynomial Functions and Models
4.3 The Real Zeros of a Polynomial Function
4.4 Complex Zeros; Fundamental Theorem of Algebra
4.5 Properties of Rational Functions
5.6 Logarithmic and Exponential Equations
6.1 Angles and Their Measure
5-Nov 6.2 Trigonometric Functions: A Unit Circle Approach
6.3 Properties of The Trigonometric Functions
12-Nov 6.4 Graphs of the Sine and Cosine Functions
17-Nov 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
7.1 The Inverse Sine, Cosine, and Tangent Functions
19-Nov 7.2 The Inverse Trigonometric Functions (Continued)
7.5 Sum and Difference Formulas
3-Dec 7.6 Double-angle and Half-angle Formulas
7.3 Trigonometric Equations
7.4 Trigonometric Identities
Review for Final Exam
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