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INTERMEDIATE ALGEBRA
COURSE DESCRIPTION: This course is designed to assist students making a transition from elementary mathematics to calculus. The topics include a review of exponents, factoring, linear and quadratic equations, inequalities, functions, graphs, system of equations, exponential and logarithmic functions.
PREREQUISITE: MATH 105 (with a grade of C or better) or Placement Test
COREQUISITE: None
STUDENT RESPONSIBILITIES:
1. The student should prestudy (read) all new topics before the topics are
presented in class . The student is expected to complete daily homework
assignments before the next class starts. Students are required to get the home
assignment checked within a week from the day it is assigned by coming during
office hours. The instructor will ascertain the daily progress in accomplishing
homework exercises and will devote a portion of classroom activities to the
solutions of any troublesome exercises.
2. Students are required to maintain a separate notebook for this course, and
all work related to this course must be done in this notebook. They must bring
this notebook to every class. Students are expected to devote a minimum of 10
hours per week outside the class. Each student must use a scientific calculator
when necessary .
3. Students are strongly encouraged to participate in classroom discussions.
4. Tests will be administered during the course; a mandatory, departmental,
comprehensive final examination will also be given. Students must complete
the online lab tests and earn a minimum of 70% on each to become eligible to
take the inclass test. A score of less than 70% will not earn any credit. All
students must take all lab tests, inclass tests, and the final examination when
scheduled.
NOTE: Any student who does not show up by the third week of classes will be
deleted from the roster.
COURSE RATIONALE: It is a required course primarily for nonscience majors. The material covers application of mathematics in business. A prerequisite course for MAT132 Calculus for nonscience majors is needed.
COURSE GOALS and MEASURABLE INTENDED STUDENT LEARNING OUTCOMES:
Goals: By attending the lectures, completing the assignments, and
participating in class, the student should accomplish the following objectives:
• Understand algebraic concepts on a precalculus level.
• Analyze and solve problems involving business applications.
• Demonstrate the ability to manipulate formulas and evaluate them on a
calculator.
• Realize that algebra is a tool used in higher mathematics.
Measurable Outcomes: Upon completion of the course, the student should
have at least level of proficiency of 70% and should be able to:
• Apply the laws of positive and negative integral exponents, the zero exponent,
rational exponents, principal roots, and radicals.
• Rationalize the denominator, and factor expressions completely.
• Discuss equivalent equations and develop techniques for solving linear and
literal equations .
• Solve fractional and radical equations.
• Solve quadratic equations by factoring or by using the quadratic formula.
• Model situations described by linear and quadratic equations (business
applications).
• Solve linear inequalities with one variable and introduce interval notation.
• Model situations in terms of inequalities (business applications).
• Solve equations and inequalities involving absolute values.
• Understand what a function is and determine domains and function values.
• Recognize constant functions, polynomial functions , rational functions,
compound functions, the absolute value function, and factorial notation.
• Combine functions by means of addition, subtraction, multiplication , division,
and composition.
• Graph equations and functions in rectangular coordinates, determine
intercepts , apply the verticalline test, and determine the domain and range of
a function from a graph.
• Know the shapes of six basic functions and to consider translation and
reflection of the graph of a function.
• Develop the notion of slope and different forms of equations of lines.
• Understand the notion of demand and supply curves and linear functions.
• Sketch parabolas arising from quadratic functions.
• Solve systems of linear equations in two variables by using the technique of
elimination or by substitution.
• Solve nonlinear systems of equations.
• Solve systems describing equilibrium and breakeven points.
• Understand exponential functions and their applications to the area of
compound interest.
• Understand logarithmic functions and their graphs.
• Understand the basic properties of logarithmic functions.
• Solve logarithmic and exponential equations.
COURSE MATERIALS/ REQUIRED TEXT / SUPPLEMENTARY READINGS
Text: Applied Mathematics for the Managerial , Life, and Social Sciences, 4^{th}
Edition
by Tan
ISBN #0495015814
PRIMARY METHOD OF INSTRUCTION/METHODS TO ENGAGE STUDENTS: The content of the course is covered in an inclass room lecture setting. Each lecture class covers the theory and related problems from the exercise. For in depth understanding of subject inclass discussions are encouraged. Students are required to solve enough number of problems until they are comfortable with the methods/techniques introduced in the class. It is mandatory to complete the related lab assignment as per calendar supplied with this document. Any difficulties are discussed on onetoone basis during the office hours. Evaluations are done after sufficient materials are covered, and the graded evaluations are returned to them as a feed back of their performances. Students are required to maintain separate notebook for this course and all work related to this course must be done in this notebook. They must bring this notebook to every meeting – lecture/tutorial or help sessions. Students are expected to devote a minimum of 7 hours per week outside the class.
COURSE OUTLINE/ CALENDAR (Detailed course calendar is attached)
Review  Section 1.1 – Real Numbers  2 
Section 1.2 – Polynomials  7  
Chapter 1  Fundamentals of Algebra  
Section 1.3 – Factoring Polynomials  15  
Section 1.4 – Rational Expressions  21  
Section 1.5 – Integral Exponents  27  
Section 1.6 – Solving Equations  32  
Section 1.7 – Rational Exponents and Radicals  38  
Section 1.8 – Quadratic Equations  46  
Section 1.9 – Inequalities and Absolute Value  56  
Chapter 2  Functions and Their Graphs  
Section 2.1 – The Cartesian Coordinate System and Straight Lines  72  
Section 2.2 – Equations of Lines  78  
Section 2.3 – Functions and Their Graphs  92  
Section 2.4 – The Algebra of Functions  108  
Section 2.5 – Linear Functions  117  
Section 2.6 – Quadratic Functions  129  
Section 2.7 – Functions and Mathematic Models  140  
Chapter 3  Functions and Graphs  
Section 3.1 – Exponential Functions  160  
Section 3.2 – Logarithmic Functions  167  
Section 3.3 – Exponential Functions as Mathematical Models (Exp. Decay)  177  
Chapter 4  Exponential and Logarithmic Functions  
Section 4.1 – Compound Interest  192  
Chapter 5  Systems of Linear Equations  
Section 5.1 – Systems of Linear Equations: An Introduction  252  
Chapter 6  Linear Programming  
Section 6.1 – Graphing Systems of Linear Inequalities in Two Variables  338 
RELATED UNIVERSITYWIDE AND COURSESPECIFIC REQUIREMENTS:
• Writing: The assessments in this course will include open ended
questions to encourage students to master the writing ability in mathematics.
• Information Technology Literacy: The student will explore various
websites to gain a better understanding of math concepts and problems. The
student is also required to do math labs online. Students are encouraged to
communicate (outside of the class) with the professor or classmates through
electronic means.
• Quantitative Reasoning: Most of the math concepts have applications
that require quantitative reasoning.
• Scientific Reasoning: Most of the math applications require the use of
scientific reasoning.
• Oral Communication: The student demonstrates oral communication through
classroom discussions and explanations at the board.
• Critical Thinking: Most of the math concepts and applications require
critical thinking.
• Other Requirements: The student is required to do the iLrn assignments
homework and lab tests for the course.
EVALUATION/ ASSESSMENT METHOD: Students learning evaluations will be done throughout the session at regular interval. Evaluations will include eight lab tests, four inclass tests, homework, popquizzes, and a comprehensive common final examination (compulsory). In case of missed test(s) due to excused absences, the final examination will accordingly be prorated. The tests and examinations will be conducted as per following schedule:
Lab Test I: Sept. 10, 2007  Lab Test II: Sept. 16, 2007  Inclass Test I: Sept. 17, 2007 
Lab Test III: Oct. 3, 2007  Lab Test IV: Oct. 9, 2007  Inclass Test II: Oct. 10, 2007 
Lab Test V: Oct. 29, 2007  Lab Test VI: Nov. 4, 2007  Inclass Test III: Nov. 5, 2007 
Lab Test VII: Nov. 21, 2007  Lab Test VIII: Nov. 27, 2007  Inclass Test IV: Nov. 28, 2007 
GRADING STANDARDS / EVALUATION CRITERIA:
MidTerm Grade:
Average of four lab tests, Test I, and Test II will determine the midterm grade.
Final Grade:
Four InClass Tests  4 × 25 = 100 points 
Eight Lab Tests  8 × 4 = 32 points 
Homework and Pop Quizzes  = 28 points 
Final Examination  = 40 points 
200 points 
FINAL EXAM: Thursday, December 7, 2007 10:30 AM – 12:30 PM
COURSE GRADE EVALUATION: The following grades are guaranteed if you earn the corresponding percentage of the total points by the end of the semester:
59 &below  6069  7079  8089  90 &above 
F  D  C  B  A 
ACADEMIC INTEGRATY STANDARDS: Further information regarding academicrelated conduct, disciplinary procedures, honesty, honor code, violation of integrity (such as plagiarism) and sanctions regarding such misconduct may be obtained by consulting the NSU Student Handbook.
Attendance Policy: Students are expected to attend each class. Attendance will be taken daily. If tardy, please notify the instructor at the end of the class period. Any absence from class doesn’t relieve any student of the responsibility for completing all class work and assignments. With satisfactory explanation, an absence may be considered excused. In general, an excused absence will include any kind of illness, participation in universitysponsored activities, recognized emergencies, etc., verified and supported by a written statement from the proper authority. Missing 20% or more of such sessions may result in an automatic failing grade. Those individuals who choose not to show up for class by the end of the third week will be deleted from the roster.
Cell Phone Usage: Students are reminded to turn the ringer off during any formal meeting of the course including class, tutorial, tests, and examination.
TECHNOLOGY REQUIREMENTS: Students are expected to be familiar with usage of TI83Plus graphing calculator or a calculator with equivalent capabilities.
AMERICANS WITH DISABILITIES ACT (ADA) STATEMENT: In accordance with Section 504 of the 1973 Rehabilitation Act and the Americans with Disabilities Act (ADA) of 1990, we ask if you have a disability, please call Ms. Marian E. Sheppard, coordinator at 8232014 or make contact with the Supporting Students through Disability Services (SSDS) office located in Rm. 240 (2^{nd} Floor)Assistive Technology Lab, Lyman Beecher Brooks Library.
ACADEMIC SUPPORT SERVICES: Students are encouraged to take advantage of on campus testing and tutoring services. They can use the computers in STARS and ACCESS labs to complete their iLrn home assignments and online labs.
UNIVERSITY ASSESSMENT STATEMENT: As part of NSU’s commitment to provide the environment and resources needed for success, student may be required to participate in a number of universitywide assessment activities. The activities may include tests, surveys, focus groups and interviews, and portfolio reviews. The primary purpose of the assessment activities is to determine the extent to which the university’s programs and services maintain a high level of quality and meet the needs of the students. Students will not be identified in the analysis of results. Unless indicated otherwise by the instructor, results from University assessment activities will not be computed in the student grades.
OTHER IMPORTANT DATES:
Aug. 18, 2007:  Classes Begin/Late Registration 
Sept. 3, 2007:  Labor Day Holiday (No Classes) 
Sept. 6, 2007:  Fall Convocation 
Oct. 1 – Oct. 6, 2007:  MidSemester Advisory Exam Period 
Oct. 12, 2007:  Last Day to Drop a Course 
Nov. 22 – Nov. 25, 2007:  Thanksgiving Break 
Nov. 30, 2007:  Classes End 
FALL 2007 MATH131 (PreCalculus for NonScience Major)  MWF
TEXT: Applied Mathematics for the Managerial, Life, and Social Sciences,
4^{th} Edition by Tan
Laboratory Tests
Course Key: EEZX527GJUYYN
Lab Test  Contents  Due Date 
1  Real Number, Polynomials, Factoring Polynomials, Rational Expressions  Sept. 10, 07 
2  Integral Exponents, Solving Equations, Rational Exponents, Radicals  Sept. 16, 07 
INCLASS TEST I: Sept. 17, 2007 

3  Quadratic Equations, Inequalities, Absolute Value  Oct. 3, 07 
4  The Cartesian Coordinate System and Straight Lines, Equations of Lines  Oct. 9, 07 
INCLASS TEST II: Oct. 10, 2007 

5  Functions and Their Graphs, The Algebra of Functions, Linear Functions, Quadratic Functions  Oct. 29, 07 
6  Functions and Mathematical Models, Exponential Functions, Logarithmic Function  Nov. 4, 07 
INCLASS TEST III: Nov. 5, 2007 

7  Exponential Functions as Mathematical Models, Compound Interest  Nov. 21, 07 
8  Systems of Linear Equations: An Introduction, Unique Solution, Graphing Systems of Linear Inequalities in Two Variables  Nov. 27, 07 
INCLASS TEST IV: Nov. 28, 2007 
8 Lab Tests: 16% 4
InClass Tests: 50%,
Homework/ Pop Quizzes: 14%
Final Exam: 20%
MATH 131
Flowchart
** No Credit Awarded for Lab Tests not
passed.
Lab Tests count for 16% of Final Grade.
Math 131: FALL 2007 Calendar**
Wk  Day  Date  Topics  Notes  
1  1  M  8/20  1.1&1.2  Real Numbers & Polynomials  
2  W  8/22  Diagnostic Test  
3  F  8/24  1.3  Factoring Polynomials  
2  4  M  8/27  1.4  Rational Expressions  
5  W  8/29  1.4  Integral Exponents  
6  F  8/31  1.5  Solving Equations  
3    M  9/3  1.6  Labor Day Holiday  
7  W  9/5  1.7  Rational Exponents  
8  F  9/7  1.7  Radicals  
4  9  M  9/10  1.8  Quadratic Equations  Lab Test I Due 
10  W  9/12  1.9  Inequalities & Absolute Value  
11  F  9/14  1.3  1.9  Cumulative ReviewTest1  Lab Test II Due (9/16)  
5  12  M  9/17  1.3  1.9  Test1  INCLASS TEST I 
13  W  9/19  2.1  The Cartesian Coordinate System and Straight Lines  
14  F  9/21  2.1  The Cartesian Coordinate System and Straight Lines  
6  15  M  9/24  2.2  Equations of Lines  
16  W  9/26  2.3  Functions and Their Graphs  
17  F  9/28  2.4  The Algebra of Functions  
7  18  M  10/1  2.5  Linear Functions  
19  W  10/3  2.6  Quadratic Functions  Lab Test III Due  
20  F  10/5  2.7  Functions and Mathematical Models  
8  21  M  10/8  2.12.7  Cumulative Review  Lab Test IV Due (10/9) 
22  W  10/10  2.12.7  Test2  INCLASS TEST II  
23  F  10/12  REV  Cumulative Review  
9  24  M  10/15  3.1  Exponential Functions  
25  W  10/17  3.1  Exponential Functions  
26  F  10/19  3.2  Logarithmic Functions  
10  27  M  10/22  3.2  Logarithmic Functions  
28  W  10/24  3.3  Exponential Functions as Mathematical Models  
29  F  10/26  3.3  Exponential Functions as Mathematical Models  
11  30  M  10/29  3.13.3  Cumulative Review  Lab Test V Due 
31  W  10/31  4.1  Compound Interest  
32  F  11/2  3.14.1  Cumulative Review  Lab Test VI Due (11/4)  
12  33  M  11/5  3.14.1  Test3  INCLASS TEST III 
34  W  11/7  5.1  Systems of Linear Equations: An Introduction  
35  F  11/9  5.1  Systems of Linear Equations: An Introduction  
13  36  M  11/12  5.1  Review  
37  W  11/14  6.1  Graphing Systems of Linear Inequalities in 2Variables  
38  F  11/16  6.1  Graphing Systems of Linear Inequalities in 2Variables  
14  39  M  11/19  5.16.1  Review  
40  W  11/21  5.16.1  Review  Lab Test VII Due  
  F  11/23  Thanksgiving Holiday  
15  41  M  11/26  QA  Question & Answer Session, Makeups, and Reviews  Lab Test VIII Due (11/27) 
42  W  11/28  Test4  INCLASS TEST IV  
43  F  11/30  QA  Question & Answer Session, Makeups, and Reviews 
** This schedule is subject to change at the discretion of the Instructor depending upon progress of the class.
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