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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

MAT 111

Precalculus

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Course Information

Title

Credit Hours

Number

Section

CRN

Semester/Term

Meeting time

Location

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Instructor/Contact Information

Name

Dr. Marc Zucker

Office location

via Zoom through BlackBoard

Office hours

M/W 2:00 – 3:15

Email address

Marc.Zucker@ncc.edu

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Precalculus

4.5 Credits

MAT 111

EA1

13229

Fall 2020

T/Th 6:20 – 8:20

via Zoom through BlackBoard

Course Description

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

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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

BlackBoard.

Therefore, to be able to complete this course, the following are necessary:

1.

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,

etc…)

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.

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DETAILED TOPICS OUTLINE

MAT 111 PRECALCULUS

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Fundamentals

●Exponents and Radicals: Notation and Simplification.

●Algebraic Expressions: Operations, Special Product Formulas, Factoring. Special Factoring Formulas, Factoring

by Groups.

●Rational Expressions: Domain, Simplifying, Operations, Compound Fractions, Rationalizing, Avoiding Common

Errors.

●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

with Inequalities.

●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.

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Functions:

●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

Polynomials.

●Rational Functions: Rational Functions and Asymptotes, Transformations of y=1/x, Asymptotes of Rational

Functions, Graphing Rational Functions, Applications.

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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

Interest.

●Logarithmic Functions: Logarithmic Functions, Graphs of Logarithmic Functions, Common Logarithms, Natural

Logarithms.

●Laws of Logarithms: Laws of Logarithms, Expanding and Combining Logarithmic Expressions, Change of Base

Formula.

●Modeling with Exponential and Logarithmic Functions: Exponential Growth (Doubling Time), Exponential Growth

(Relative Growth Rate), Radioactive Decay, Newton’s Law of Cooling, Logarithmic Scales.

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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,

Fundamental Identities.

●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

OBJECTIVES: General

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.

OBJECTIVES: Specific

To enable the student to:

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demonstrate an understanding of the fundamental concept of a mathematical function and all of its

properties (domain, range, etc.)

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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

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justify solutions and the problem solving process; verify and interpret solutions with respect to the original

problem.

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utilize their knowledge and understanding for real world problem solving

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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.

Outcome

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.

Outcome

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

language.

3. Employ Quantitative Methods

Students will demonstrate the ability to employ quantitative methods such as arithmetic, geometry, or

statistics to solve problems.

Outcome

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.

Outcome

4.1 Estimation

Students will estimate and justify a mathematical result to a problem.

4.2 Reasonableness

Students will articulate a justification for the estimate using a clearly defined logical plan.

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5. Recognize Limits

Students will demonstrate the ability to recognize the limits of mathematical and statistical methods.

Outcome

5.1 Real Life Comparison

Students will describe how the results of the mathematical model may differ from the real-life situation it is

modeling.

5.2 Mathematical Assumptions

Students will articulate the assumptions made in developing a mathematical/statistical model.

Instructional Methods

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

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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

visit https://ncc.edu/campusservices/bookstore/nccaccess.shtml

Student Responsibilities / Course Policies

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Participation

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

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.

Attendance/lateness policy

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.

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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.

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Withdrawal

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

services.

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

sharing.

Thus, the College strictly prohibits the users of its networks from engaging in unauthorized distribution

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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.

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Course Resources

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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.

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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

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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.

Class #

Day

Date

Topics

Assignments

1.2 The Distance and Midpoint Formulas

Day 1

Tue

1-Sep 1.6 Circles

2.1 Functions

Day 2

Thu

3-Sep 2.2 The Graph of a Function

2.3 Properties of Functions

Day 3

Thu

10-Sep 2.4 Piecewise-defined Functions

3.1 Properties of Linear Functions and Linear Models

Day 4

Tue

15-Sep

Day 5

Thu

3.3 Quadratic Functions and Their Properties

17-Sep 3.4 Build Quadratic Models from Verbal Descriptions and From Data

Day 6

Tue

22-Sep

Day 7

Thu

24-Sep

Day 8

Tue

29-Sep

Day 9

Thu

1-Oct

Day 10

Tue

6-Oct

Day 11

Thu

8-Oct

Day 12

Tue

13-Oct

Day 13

Thu

Day 14

Tue

Day 15

Thu

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

Day 16

Tue

27-Oct

Day 17

Thu

5.7 Financial Models

29-Oct 5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

Day 18

Tue

3-Nov

3.5 Ineualities Involving Quadratic Functions

2.5 Graphing Techniques: Transformations

Exam I

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

Exam II

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

Day 19

Thu

Day 20

Thu

Day 21

Tue

Day 22

Thu

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)

Day 23

Tue

24-Nov

Day 24

Tue

1-Dec

Day 25

Thu

7.5 Sum and Difference Formulas

3-Dec 7.6 Double-angle and Half-angle Formulas

Day 26

Tue

8-Dec

Day 27

Thu

10-Dec

Day 28

Tue

15-Dec

7.3 Trigonometric Equations

7.4 Trigonometric Identities

Exam III

Review for Final Exam

Final Exam

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