NCC Dept. of MAT/CSC/ITE



NASSAU COMMUNITY COLLEGEDEPARTMENT OF MATHEMATICS/COMPUTER SCIENCE/INFORMATION TECHNOLOGY Course Syllabus for21793209525MAT 109 CollegeAlgebra & Trigonometry00MAT 109 CollegeAlgebra & TrigonometryCourse Information Title Algebra & TrigonometryCredit Hours 4 CreditsNumber MAT 109Section _____________________Semester/Term _____________________Meeting time _____________________ Location _____________________Instructor/Contact Information Name ____________________________________________________________Office location ____________________________________________________________Office hours ____________________________________________________________Office telephone and fax numbers __________________________________________________Email address ____________________________________________________________Blackboard link ____________________________________________________________Website____________________________________________________________Other ____________________________________________________________Course Description MAT 109: Algebra & TrigonometryPrerequisites: College Placement Exam. Students must have satisfied all MAT, ENG 001 and RDG 001 remediation requirements prior to starting this course. For some students whose College Placement Test scores allow for MAT 109, MAT 002 may be recommended prior to taking MAT 109.Description: This course considers fundamental ideas from algebra, trigonometry and functions including exponentials and logarithms. A problem solving approach is used.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.) DETAILED TOPICS OUTLINETopics for using Algebra and Trigonometry for College Students, 2nd edition, Christy, et al DETAILED TOPICS OUTLINEChapter 1. Basic Algebra Compound inequalities Interval notationChapter 2. Functions and GraphsIntroduction to functionsDomain and Range given a graph, table, set of ordered pairs and equationRecognizing graphs of essential functionsFunction NotationPiecewise FunctionsDifference QuotientReading graphs using function notationAbsolute value equations and inequalitiesSlopeLinear functionsChapter 3. Systems of Linear Equations in Two Variables Solving systems of equations algebraically (include applications)Chapter 4. Introduction to TrigonometryChapter 9. Topics in TrigonometryDefinition of trig functionsIntroduction to radian measureExact valuesApproximating trig values by calculatorUsing the calculator to find anglesSolving right triangles (include applications)Trig functions of general anglesUnit circleReference anglesTrig equations (in both degree and radian measure)Chapter 5. Further Algebraic techniquesFactoringSolving quadratic equations by factoringOperations with rational expressionsSimplifying complex fractionsSolving equations that contain fractionChapter 6. Radicals and Complex NumbersRational exponents (consider reviewing laws of exponents here)Operations with radicalsSimplifying radicalsRationalizing the denominatorComplex numbers(omit division and powers of i)Radical EquationsChapter 7. Second Degree Equations Solving quadratic equations by using the square root property and quadratic formula Solving polynomial inequalities (omit rational inequalities)Chapter 8. Exponential and Logarithmic FunctionsEvaluating and graphing exponential functions and logarithmic functionsSolving basic exponential and logarithmic equations (omit applications)Properties of logarithms Topics for using College Algebra and Trigonometry,?Custom Edition for Nassau Community College, Blitzer.Chapter P. Prerequisites: Fundamental Concepts of AlgebraP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.5 Factoring PolynomialsP.6 Rational ExpressionsChapter 1. Equations and Inequalities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic Equations1.6 Other Types of Equations (emphasis should be on radical equations and absolute value equations)1.7 Absolute Value InequalitiesChapter 2. Functions and Graphs2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs (omit odd and even functions, relative maxima or minima)2.3 Linear Functions and Slope2.4 More on Slope (deemphasize average rate of change)2.5 Transformations of Functions2.6 Combinations of Functions (objective 1 only)Chapter 3. Polynomial and Rational Functions3.6 Polynomial and Rational Inequalities (objective 1 only)Chapter 4. Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions (omit objective 5)4.3 Properties of Logarithms4.4 Exponential and Logarithmic EquationsChapter 5. Systems of Equations and Inequalities5.1 Systems of Linear Equations in Two VariablesTrigonometry Chapter 1. Angles and the Trigonometric Functions1.1 Angles and Radian Measure1.2 Right Triangle Trigonometry1.3 Trigonometric Functions of Any Angle1.4 Trigonometric Functions: The Unit Circle (omit objectives 3 and 4)Trigonometry Chapter 2. Graphs of Trigonometric Functions, Inverse Trigonometric Functions2.4 Applications of Trigonometric Functions (objective 2 optional, omit objective 3)Trigonometry Chapter 3. Trigonometric Identities and Equations3.5 Trigonometric Equations (omit objective 5)Learning Outcomes and Objectives General This course covers topics included in a course that prepares a student for precalculus and who plans to go on with the study of mathematics. Specific To improve the students' ability to solve problems in an orderly and logical manner, to provide the student with the basic ideas of numerical and analytic trigonometry, to develop accuracy and speed in the manipulations of algebraic functions, to acquaint the student with the basic equation forms and the graphs and problems that involve these forms. Without decreasing the emphasis on the traditional algebraic skills, a graphing calculator similar to the Texas Instruments TI-83/84 is recommended as a technological tool to assist in the integration of the above concepts. SUNY General Education Goals & Outcomes1. Draw Inferences from Mathematical ModelsStudents will demonstrate the ability to and draw inferences from mathematical models such as formulas, graphs, tables, and schematics.Outcome1.1 Mathematical InterpretationStudents will interpret variables, parameters, and other specific information within a mathematical model.?1.2 Draw InferencesStudents will draw inferences about the situation being modeled mathematically.?1.3 Verbal InterpretationStudents will verbally interpret the results of their analysis of the mathematical model.?2. Represent Mathematical InformationStudents will demonstrate the ability to represent mathematical information symbolically, visually, numerically and verbally.Outcome2.1 Mathematical InformationStudents will employ the appropriate representation to display the mathematical information.?2.2 Mathematical TerminologyStudents will clearly define variables? draw, scale and label graphs? use correct mathematical terminology and/or language.?3. Employ Quantitative MethodsStudents will demonstrate the ability to employ quantitative methods such as arithmetic, geometry, or statistics to solve problems.Outcome3.1 Identify Quantitative MethodsStudents will be able to identify a specific numeric, algebraic, or statistical method(s) needed to solve a problem .?3.2 Applying Quantitative MethodsStudents will apply the method identified, and correctly solve the problem.?4. Check Mathematical Results for ReasonablenessStudents will demonstrate the ability to estimate and check mathematical results for reasonableness.Outcome4.1 EstimationStudents will estimate and justify a mathematical result to a problem.?4.2 ReasonablenessStudents will articulate a justification for the estimate using a clearly defined logical plan.?5. Recognize LimitsStudents will demonstrate the ability to recognize the limits of mathematical and statistical methods.Outcome5.1 Real Life ComparisonStudents will describe how the results of the mathematical model may differ from the real-life situation it is modeling.?5.2 Mathematical AssumptionsStudents will articulate the assumptions made in developing a mathematical/statistical model.Instructional Methods This course is taught using a variety of instructional methods including lecture, class discussion, and small group work when applicable. Textbook and Materials Required textbook: Algebra & Trigonometry Published by Pearson or College Algebra and Trigonometry,?Custom Edition for Nassau Community College by Blitzer. Electronic references: Responsibilities /Course PoliciesInstructors need to complete the following for their specific policies. It is recommended that in class exams are required. Participation____________________________________________________________Homework ____________________________________________________________Online discussions ____________________________________________________________Projects ____________________________________________________________Group work (include information on effective group procedures)____________________________________________________________Exams/quizzes ____________________________________________________________Attendance/lateness policy ____________________________________________________________Missed exams/ quizzes policy____________________________________________________________Extra credit ____________________________________________________________Academic Dishonesty & PlagiarismAcademic 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 anotherstudent 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 anyother 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, labassignments, 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 disciplinaryaction 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 rightto 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 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: Resources Web sites____________________________________________________________Library services____________________________________________________________Labs and learning centers: MATH CENTER REQUIREMENTIf 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.Study groups ____________________________________________________________Extra help options____________________________________________________________Assessments and Grading Methods Provide a clear explanation of evaluation, including a clear statement on the assessment process and measurements. Be explicit! Include format, number, weight for quizzes and exam, descriptions of papers and projects as well as how they will be assessed and the overall grading scale and standards. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________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 DatesProvide a detailed list of meeting dates, topics, assignments, and due dates for all exams, scheduled quizzes, papers, projects, assignments, labs, etc. Use a grid format to help students easily read and understand the information. SCHEDULE OF TOPICSThe following is a guideline for the amount of time to spend on each topic area using Algebra and Trigonometry for College Students by Christy, et al. These suggested time frames are based on 45 classes in the semester (i.e., meeting 3x / week for 75 minutes). Topic?Section?Week?Chapter 1 – Basic Algebra? 1.8? 1?Chapter 2 – Functions and Graphs?2.1 – 2.2, 2.4 , 2.6- 2.8? 2/3?Chapter 3 – Systems of Linear Equations in Two Variables?3.1? 4?Chapter 4 – Introduction to Trigonometry?4.1 – 4.4? 5/6?Chapter 9 – Topics in Trigonometry?9.1 – 9.2, 9.5, 9.6Chapter 5 – Further Algebraic Techniques?5.1 – 5.6, 5.8? 7/8?Chapter 6 – Radicals and Complex Numbers?6.1 – 6.6? 9/10Chapter 7 – Second Degree Equations?7.1, 7.2, 7.4? 11/12?Chapter 8 – Exponential and Logarithmic Functions?8.1, 8.3-8.5 13/14??Based on 4 exams: 2-day final review and 1 day final? 15?The following is a guideline for the amount of time to spend on each topic area usingCollege Algebra and Trigonometry,?Custom Edition for Nassau Community College by Blitzer. These suggested time frames are based on 45 classes in the semester (i.e., meeting 3x / week for 75 minutes). Topic?Section? Week?Chapter P – Fundamental Concepts of Algebra P.2, P.3, P.5, P.6? 1/2Chapter 1 – Equations and Inequalities?1.2 – 1.7? 3/4?Chapter 2 – Functions and Graphs?2.1 – 2.5? 5-7Chapter 3 & 5– Polynomial and Rational Functions?& Systems of Equations and Inequalities3.6?& 5.1 8Chapter 4 – Exponential and Logarithmic Functions?4.1 – 4.4 9/10?Trig Chapter 1 – Angles and the Trigonometric Functions?1.1 – 1.4?? 11-14Trig Chapter 2 – Graphs of the Trigonometric Functions: Inverse Trigonometric Functions? 2.4Trig Chapter 3 – Trigonometric Identities and Equations?3.5?Based on 4 exams: 2-day final review and 1 day final? 15?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.??You will need a device that has :??audio and video capabilities???the ability to access the full capabilities of BlackBoard (i.e. upload/download files, take exams, etc)??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)??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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