Math 1111 Information Sheet

Name_____________________________ Date________________

 

Course: _______________

Address________________________________________________

City___________________________________________________

Phone__________________________________________________

SS#____________________________________________________

Last Math________________________WHEN__________________

 

I understand that if I fail to meet my obligations to make up failed tests, or have a failing average at midterm, then I am in serious danger of failing.

I have read and understand the expectations and policies for this course.

 

 

____________________________________________Signature

 

 

 

Monday

Wednesday

Friday

Information

August 23
1.2 Intro.
To Relations and Functi

August 25
1.3     Linear Functions
Graphing Calculator

August 27
1.4  Linear Equations and Modeling

Instructor
Mary S Hall
Assistant Professor

Office Phone
770-551-3233

Home Phone

Office Hours
 
T, R   10-12
,

 
 
 F (by appointment)
12:00-2:00

 

Syllabus is subject to change.

Class Time:
Regular



ATTENDANCE POLICY: Students should attend every class meeting the full time. Arriving late or leaving early counts as from one-half to one full absence, depending on how much time is missed.

Mid term is Oct. 20
(Full Term)
 

Test 1- 5 will be online at a test center.


Exam
December 15
Dunwoody Campus
 1:00-3:00 P


December 17, Friday
Dunwoody Campus

Online Class

 1:00-3:00 P
or
 5:45-7:45 P


Online Students may come at either of the above times.


 

August 30
1.5 Lin Equations/Inequalities

September 01
1.6 Applications Linear

September 03
2.1 Graphs of Basic Functions/Symmetry

September 06
Labor Day

September 08
2.2  Vertical and Horizontal Shifting

September 10
2.3 Reflecting, and stretching/ shrinking graphs

September 13
Review Test 1

September 15
Test I

Sections: 1.2-2.3

September 17
2.4 Solving Equations Algebraically (absolute value )
Solving Inequalities Algebraically and Graphically (On Test 2)

September 20
Section 2.5 Piecewise Functions

September 22
2.6 Combinations of Functions

September 24
3.2 Quadratic Functions and Graphs

September 27
3.3 Quadratic Functions and Inequalities

September 29
3.4 Applications of Quad Fn
 and models

October  1

3.5 Polynomial Functions of Higher Degree

October  4
Review test 2

October 06
Test II

October  8
4.1    Rational Functions and Graphs asymptotes

October 11
4.2 Graphs of Rational Functions asymptotes

October 13
4.3 Rational Equations, Inequalities

October 15
4.3 Rational Equations, Inequalities

October 18
4.4Functions Defined by Powers

October 20
4.4 Functions Defined by Roots

October 22
4.5 Equations Inequalities Applications Root Fn.

October 25
4.5Equations Inequalities Applications Root Fn.

October 27
Review

October 29
Test III

November 1
5.1 Inverse Functions

November 03
5.2   Exponential Functions and Graphs 

November 05
5.2   Exponential Functions and Graphs 

November 08
5.3  Properties of Logarithms

November 10
5.3  Properties of Logarithms

November 12
5.4   Logarithmic Functions and Graphs 

November 15
5.5     Solving exponential and Logarithmic Equations

November 17
5.5     Solving exponential and Logarithmic Inequalities

November 19
5.6 Exponential and Logarithmic Models

November 22
6.1   Parabolas and Circles

November 24
7.1 systems of Linear Equations in Two Variables

November 26
Holiday

November 29
7.2   The Echelon Method

December 1
Test IV
5.1-5.6

December 3
7.3   Solving Systems with Matrices

December 06
Review

December 08
Test V
6.1, 7.1-7.3

December 10

Exam Review

 

Mathematics 1111

College Algebra

Prerequisites: Placement into college-level mathematics

Catalog Description:
This course is a functional approach to algebra that incorporates the use of appropriate technology.  Emphasis will be placed on the study of functions and their graphs, inequalities, and linear, quadratic, piece-wise defined, rational, polynomial, exponential, and logarithmic functions.  Appropriate applications will be included.

 

Instructor Name: Mary Susan Hall
Office: E Building E-2106
Sections:  

Office Phone: 770-551-3233
Home Phone:
770-924-3469
Email: mhall@gpc.edu
Email: mshall@mindspring.com

Office Hours
 
T, R   10-12
,
 
 
 F (by appointment)
12:00-2:00


Contact by phone, email.

Contact Times:

Student may feel free to contact me by phone or Online during the
hours of
9:00 AM and 9:00 PM.

Classroom Attendance:

    1. Students should attend class for the full length.
    2. 3 tardys = 1 absence
    3. 3 absences must be withdrawn or auto F
    4. Missing 1/2 Class = 1/2 Absence

Grading Information:

1) Tests 50%
2) Take-home Tests: 25%
3) Exam 25%

There may be several quizzes. These will count as follows: 2 quizzes = 1 test.
Projects average together for one test grade.

 Letter Grades

A = 90-100     D = 60-69.
B = 80-89
C = 70-79 F = Failure

Make-up Tests:
Report an absence before the test. With my approval, you may make up tests. The make up test must be done within 1 week of the original test. Further, you must retake a test if you score below 70 on the test. Reworked problems of the original test must be turned in before a makeup.

 Math Lab:
A free math lab is available for each student. Math lab assignment may be given.

Homework:
Read new sections prior to class. Do all assigned problems and check answers in the back of the book. Ten to Fourteen hours of homework per week is normal for this course.

Required Text
A Graphical Approach to College Algebra, 3rd edition, by Hornsby, Lial and Rockswold, Addison Wesley


The TI-83 graphing calculator is the required calculator for this course. With instructor approval, other calculators with the same capabilities may be used. The TI-83 is available in the college bookstore and in other retail stores

 

General Course Objectives

This course provides a basis for the study of science or Precalculus. 

Expected Educational Results:
As a result of completing this course, students will be able to: 

  1. Understand the definition of a function.
  2. Determine the domain, range, and where a function is increasing, decreasing or constant for each type of function studied in the course.
  3. Identify, graph, and find equations of linear functions. Students will be able to interpret the slope and y-intercept as an average rate of change and an initial amount, respectively. Students will be able to interpret and apply these ideas in applied settings.
  4. Model linear and non-linear functions from data.
  5. Graph transformations (vertical and horizontal shifts, vertical stretching and compressions, and reflections) of y = x^2, y = sqrt ( x ), and y = abs ( x ).
  6. Graph quadratic functions of the form y = a x^2 + b x + c by determining the vertex and intercepts. Students will be able to interpret and apply these ideas in applied settings.
  7. Identify and graph power functions, transformations of power functions, and polynomial functions where the polynomial is factorable. Students will be able to describe the end behavior of polynomials and the relationship between end behavior and the degree of the polynomial. Students will be able to determine intercepts of factorable polynomials exactly. Students will be able to use technology to approximate x-intercepts and turning points of polynomials.
  8. Identify and graph transformations of y = 1/x and y = 1/x^2. Students will be able to recognize and determine vertical and horizontal asymptotes, end behavior, and behavior near vertical asymptotes.
  9. Determine, both algebraically and graphically, solutions to the following kinds of equations and apply these solutions to concepts related to functions and other applications:
    • Linear
    • Quadratic
    • Factorable polynomial
    • Rational
    • Radical (involving only one radical)
    • Equations of the form x^n = k
  10. Graph piece-wise defined functions.
  11. Compose two functions and determine the domain of the composite function.
  12. Define an inverse function, get a rule for an inverse function, and graph an inverse function.
  13. Graph exponential functions of the form y = a^x and their transformations. Students should also be able to graph the inverse function of y = a ^ x.
  14. Solve simple exponential equations both graphically and using logarithms.
  15. Apply exponential functions to problems involving exponential growth or decay.
  16. Define a logarithm, convert between logarithmic and exponential form, and understand the inverse relationship between logarithmic and exponential functions.
  17. Use properties of logarithms to solve logarithmic equations and use logarithms in application problems.
  18. Use graphical techniques to find solutions to the following kinds of inequalities and apply these solutions to concepts related to functions and other applications:
    • Linear
    • Quadratic
    • Factorable Polynomial
    • Rational
    • Exponential
  19. Solve linear systems of two equations in two unknowns using elimination and substitution and use linear systems to solve application problems.
  20. Solve simple non-linear systems of equations graphically.

 General Education Outcomes

  1. This course addresses the general education outcome relating to communication by providing 
    additional support as follows:
    • Students improve their listening skills by taking part in general class discussions and in small group activities.
    • Students improve their reading skills by reading and discussing the text and other materials. Reading mathematics requires skills somewhat different from those used in reading materials for other courses, and these are discussed in class.
    • Unit tests, examinations, and other assignments provide opportunities for students to practice and improve mathematical writing skills. Mathematic has a specialized vocabulary that students are expected to use correctly.
  2. This course addresses the general education outcome of demonstrating effective individual and group problem-solving and critical skills as follows:
    • Students must apply mathematical concepts to non-template problems and situations.
    • In applications, students must analyze problems, often through the use of multiple 
      representations, develop or select an appropriate mathematical model, utilize the model, 
      and interpret results.
  3. This course addresses the general education outcome of using mathematical concepts to interpret, understand, and communicate quantitative data as follows:
    • Students must demonstrate proficiency in problem solving including applications of linear, quadratic, exponential, and logarithmic functions.
    • Students must be familiar with simple data analysis tools for building linear and non-linear models.
  4. This course addresses the general education outcome of organizing information through the use of computer software packages as follows:
    • Students are required to use a graphing calculator to graph functions, determine intercepts, and determine turning points of graphs.
    • Students will use simple data analysis tools for building linear and non-linear models.

Course Content

  • Linear Functions
  • Quadratic Functions
  • Other Basic Functions.
  • Polynomial Functions
  • Rational Functions.
  • Composition and Inverse Functions
  • Exponential and Logarithmic Functions
  • Systems of Equations

Entry -Level Competencies

Before enrolling in this course, the student is expected to be able to:

  1. Use algebraic symbols and notation to make meaningful statements
  2. Solve applications for which linear equations, quadratic equations, and systems are 
    mathematical models
  3. Solve the following equations:
    • Quadratic with real and non-real solutions
    • Absolute value of the form: |ax + b| = constant
    • Fractional leading to a quadratic
    • Polynomial of degree higher than two by factoring
    • Radical leading to linear or quadratic
  4. Solve inequalities, write the solution set in interval notation, and graph the following types:
    • Factorable quadratic
    • |ax + b| < or > constant
    • Factorable polynomial of degree higher than two
  5. Solve a system of two linear equations in two variables (having no, one, or many 
    solutions) by graphing, substitution, or elimination
  6. Perform operations with complex numbers (excluding division)
  7. Apply properties of exponents with integral and rational exponents
  8. Perform the four basic operations with radicals (excluding rationalizing)
  9. Solve problems where students have to display comprehension of basic geometric concepts 
    including the Pythagorean Theorem, formulas for area and perimeter of rectangles, 
    squares, and triangles
  10. Perform the following activities with lines:
    • Use the distance and midpoint formula
    • Graph equations in standard form and slope-intercept form
    • Compute the slope given two points
    • State the slope given an equation
    • State if lines are parallel or perpendicular from given information
    • Write the equation of a line given information
  11. Use a graphing calculator
  12. Understand function notation
  13. Graph parabolas using a table of values and plotting points

Audit Students

Audit students are expected to complete all work. The attendance policy applies to 
audit students as well as credit students.

Americans With Disabilities Act Statement

 

If you are a student who is disabled as defined under the Americans with Disabilities Act and requires assistance or support services, please seek assistance through the Center for Disability Services.  A CSD Counselor will coordinate those services.

 

Academic Honesty Statement 

Each faculty member will use the Academic Honesty Statement developed by his or her discipline unit.  Cheating and plagiarism are serious offenses.  Either of these will result in a zero on the material. 

 STATEMENT OF NON-DISCRIMINATION

 Georgia Perimeter College supports the Civil Rights Act of 1964, Executive Order #11246, Title IX of the Educational Amendments of 1972, Section 504 of the Rehabilitation Act of 1973, and the Americans with Disabilities Act.  No person shall, on the basis of age, race, religion, color, gender, sexual orientation, national origin or disability, be excluded from participation in, or be denied the benefits of, or be subjected to discrimination under any program or activity of the college.

 

Any individual with a grievance related to the enforcement of any of the above provisions should contact the Assistant Director of Human Resources, Ombudsperson.

 

Regents Testing  Program

 

The University System of Georgia requires that all students enrolled in undergraduate degree programs in University System institutions (including Georgia Perimeter College) successfully complete all parts of a competency examination in reading and English composition.  This competency examination is commonly called “the Regents Test”, and it is free of charge.  A student has two attempts to pass this test before accumulating 45 hours of collegiate credit.  Please sign up for the Regents’ Test when you enroll in English 1102.  Do this in time to have two attempts before accumulating 45 credit hours!

 Instructions for Take Home Tests

1) Take home tests have an availability period and must be completed during that time.  Take home tests will be inside web ct.

Please notice the link in web ct on the front page that says Tests and Take Home Tests. If you will click on it you will see a list of tests. Beside the test is availability for that test. The last date listed is the last date you may take the test. Notice that there is a range of dates. This means you may complete them anytime in that time period. Failure to complete a take-home test will result in a zero ‘0’.

2) No grade will be dropped either on the in class tests or the take home tests.

3) No makeup will be allowed on take-home tests.

4) No makeup is allowed of a makeup test. Therefore, if you miss the initial test and fail the makeup, you will keep the makeup grade.

5) The policy regarding plagiarism applies to all work in this class.

6) Students may compare answers after completion of problems on take-home tests or receive help from an outside source, if:

a) Both parties must have worked the problems completely.
b) No student is allowed to copy another student’s work or answers.

c) A student may receive help from an outside source provided:
        1) No person may work the problems for you.
        2) Persons assisting you may show you how to work a similar problem.

Find your average for take home tests under TKH, and your average for in class tests under TESTS. The grade that you must have to get a C in listed across under EXAM .

In Math 1111 there are 5 take home tests. In Math 97 there are 6 take home tests and in Math 0099 
there are 4 take home tests. This table shows you how zeros affect your grade.

MATHEMATICS/COMPUTER SCIENCE/ENGINEERING ACADEMIC GROUP

ACADEMIC HONESTY POLICY

A copy of the following shall be provided to each student at the beginning of each class
section taught in the Mathematics/Computer Science/Engineering Academic Group.

ACADEMIC HONESTY POLICY

Georgia Perimeter College Division of Mathematics

Cheating includes any attempt to defraud, deceive, or mislead the instructor in arriving at an 
honest grade assessment. Plagiarism is a form of cheating that involves presenting, as one's 
own the ideas or work of another. Academic Honesty Procedures have been established by 
Georgia Perimeter College to insure due process in cases of cheating or plagiarism. A copy of procedures is in the Student Handbook (Appendix I).

Cheating of any kind may result in a penalty ranging from a grade of zero for the work in question to a grade of "F" in the course AND will be referred to the College Court for assignment of penalty that may include suspension from the College. Referral to the College Court is required whether the student admits or denies the violation.

Unless specifically authorized by the instructor, the following are examples of cheating or plagiarism. This is not an exhaustive list.

  1. On a test or quiz:
    1. Looking at or copying from another student's work.
    2. Allowing another student to look at or copy your work.
    3. Having a copy of the test before actually taking the test.
    4. Sharing a calculator.
    5. Communicating with anyone except the student's instructor using any form of 
      communication (including electronic communication such as e-mail).
    6. Accessing unauthorized material whether it be student notes, printed material, or 
      material accessed electronically.

  B.    On homework or other out-of-class assignments:

    1. Interpersonal related:
      1. Copying work or answers from another student.
      2. Copying work or answers from a book.
      3. Having another person do work for you.
      4. Allowing another student to use your work as his or her own.

              b. Computer related:

      1. Submitting the programs, documentation or program results of another

person as one's own.

      1. Obtaining or attempting to obtain unauthorized access to information stored in electronic form.
      2. Submitting false results of a program's output for a class assignment or     falsifying the results of program execution for the purpose of improving a grade.

    C . For late work or tests:

Providing false information or documents in order to be allowed to 
make up a missed test, quiz, or homework.

The Regents’ Test

 

The University System of Georgia requires that all students enrolled in undergraduate degree programs in University System institutions (including Georgia Perimeter College) successfully complete all parts of a competency examination in reading and English composition.  This competency examination is commonly called “the Regents’ Test”, and it is free of charge.  A student has two attempts to pass this test before accumulating 45 hours of collegiate credit.  Please sign up for the Regents’ Test when you enroll in English 1102.  Do this in time to have two attempts before accumulating 45 credit hours! 

 

 

 

 

 

 

Assignments for Math 1111

Chapter One:  Linear Functions, Equations, and Inequalities

Section

Math0098 (Review)

Math1111

(Items to be Tested)

1.2  Introduction to Relations and Functions

1 – 16

17 – 68

1.3 Linear Functions    

35 – 60

1 – 34, 61 – 64

1.4 Equations of Lines and Linear Models

1 – 40

41 – 68

Omit Correlation 66 – 68

1.5 Linear Equations and Inequalities

19 – 34, 45 – 50, 69 – 76

1 – 18, 35 – 44, 51 – 68, 77, 78, 91 – 96

1.6 Applications of Linear Functions

1 – 23

24 – 54

 

Chapter Two:  Analysis of Graphs of Functions

Section

Math0098 (Review)

Math1111

(Items to be Tested)

2.1       Graphs of Basic Functions and Relations:  Symmetry

 

1 – 68

2.2       Vertical and Horizontal Shifts of Graphs

 

 

1 – 50

2.3       Stretching, Shrinking, and Reflecting Graphs

 

1 – 58

2.4       Absolute Value Functions:  Graphs, Equations, Inequalities, and Applications

 

1 – 82

2.5       Piecewise-Defined Functions

 

1 – 56

2.6       Operations and Composition

 

1 – 82

 

Chapter Three:  Polynomial Functions

Section

Math0098 (Review)

Math1111

(Items to be Tested)

3.2       Quadratic Functions and Graphs

 

5 – 25, 43 – 50

3.3       Quadratic Equations and Inequalities

1 – 34

45 – 64

3.4       Further Applications of Quadratic Functions and Models

1 – 16

17 – 30

3.5       Higher-Degree Polynomial Functions and Graphs

 

5 – 16, 25 – 36, 49 – 66

 

Chapter Four:  Rational, Power, and Root Functions

Section

Math0098 (Review)

Math111

(Items to be Tested)

4.1       Rational Functions and Graphs

 

 

1 – 32

4.2       More on Graphs of Rational Functions

 

9 – 12, 17, 19 – 23, 27, 29

4.3       Rational Equations, Inequalities, Applications, and Models

33 – 50

1 – 9, 11 – 22 , 63 – 74

4.4       Functions Defined by Powers and Roots

1 – 37

43 – 65

4.5       Equations, Inequalities, and Applications Involving Root Functions

 

1 – 19, 33 – 41

 

Chapter Five:  Inverse, Exponential, and Logarithmic Functions

Section

Math0098 (Review)

Math111

(Items to be Tested)

5.1     Inverse Functions

 

1 – 75, 86 – 95

5.2     Exponential Functions

 

1 – 66

5.3     Logarithms and Their Properties

 

1 – 95

5.4     Logarithmic Functions

 

1 – 56

5.5     Exponential and Logarithmic Equations and Inequalities

 

1 – 36

5.6     Further Applications and Modeling with Exponential and Logarithmic Functions

 

1 – 9, 15, 17, 21 – 31,

39 – 49, 51 – 53

 

Chapter Seven:  Matrices and Systems of Equations and Inequalities

Section

Math0098

(Review)

Math1111

 (Items to be Tested)

7.1     Systems of Equations

11 – 44 are covered in Math0098 but are also an objective of 1111.

11 – 44

51 – 71 (Solve by graphing only)