Course Requirements

First-Day Handout for Students

MATH 1314 College Algebra

Session: Summer 2012

 

Math 1314-008 Synonym 03499	Time: TTh 7:40p – 9:30p	Campus and Room: RGC1 335
Instructor: Bob Byrom
Office Number: RGC1 302	Office Hours:TTh 6:50p –7:35p
Office Phone: 223.3331
Email: bob@austincc.edu	Appointments other than the posted office hour can be made in class, by office phone or email.

                                                                                                                         

TEXT: College Algebra with Modeling and Visualization by Gary Rockswold, 4^th  ed.

             ISBN#0-32154230-4

Text bundled with MyMathLab, 0-32-157704-3 Hard copy ISBN  0-32-166511-2 Loose Leaf

You can access the material from the first two weeks online at http://www.austincc.edu/mthdept2/text/  password acc1314

 

MyMathLab is an optional interactive online course that accompanies the text. You may purchase access to MyMathLab online from AddisonWesley for $75.00at: www.mymathlab.com/buying.html

MyMathLab includes:

●      Online access to all pages of the textbook

●      Multimedia learning aids (videos & animations) for select examples and exercises in the text

●      Practice tests and quizzes linked to sections of the textbook

●      Personalized study guide based on performance on practice tests and quizzes

Visit www.mymathlab.comfor more information. To use MyMathLab, you'll need:

●      Course ID*:acc34248

●      Student access number: provided with purchase of MyMathLab access.

* If your instructor has set up a different course ID for your class, he or she will let you know.  If so, use the course ID provided by your instructor.

 

Videotapes: There is a set of video DVDs keyed to the text by section in the Learning Resource Center of each campus.  Students who miss class or who need extra review may find these useful.  Also, with the bundled text with MyMathLab is a set of video tutorials.

 

COURSE DESCRIPTION

MATH 1314 COLLEGE ALGEBRA (3-3-0).A course designed for students majoring in business, mathematics, science, engineering, or certain engineering-related technical fields. Content includes the rational, real, and complex number systems; the study of functions including polynomial, rational, exponential, and logarithmic functions and related equations; inequalities; and systems of linear equations and determinants. Prerequisites: MATD 0390 or satisfactory score on the ACC Assessment Test. (MTH 1743)

 

Course Prerequisite: Intermediate Algebra (MATD 0390) or current knowledge of high school algebra as measured by the Assessment Test.  Students who have a great deal of difficulty with the Pretest and/or review and have not had Intermediate Algebra or its equivalent recently should consider withdrawing and taking Intermediate Algebra.

Calculator: Students need either a scientific or business calculator. (Has log or ln key.) If a student cannot purchase one, calculators are available from the LRS.  Graphing calculators are not required, but you will use graphing technology in most sections of the book.  Graphing calculators are also available in the LRS.  Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use.  Other calculator brands can also be used.  Your instructor will determine the extent of calculator use in your class section.

 

INSTRUCTIONAL METHODOLOGY

This course is taught in the classroom primarily as a lecture/discussion course.

 

COURSE RATIONALE

This course is designed to teach students the functional approach to mathematical relationships that they will need for a business calculus sequence. Other courses, such as MATH 1332, or MATH 1342 are more appropriate to meet a general mathematics requirement.  Check with your degree plan as to what math course your college requires.

 

 COMMON COURSE OBJECTIVES

Common course objectives are attached.  They can also be found at:

http://www.austincc.edu/mthdept2/tfcourses/obj1314.htm   

MATH 1314 College Algebra – Objectives

Functions:

●      Use and interpret functional notation.

●      Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.

●      Find a symbolic representation of the sum, difference, product, quotient, and composition of two functions.

●      Evaluate the sum, difference, product, quotient, and composition of two functions at a given value of the respective domain for functions represented symbolically, graphically, and numerically.

●      Find the inverse of a function represented symbolically, graphically, or numerically.

●      Interpret the graphs of functions.

Graphing functions:

●      Sketch the graphs of the following functions: Lines, x², x³, x^1/2, 1/x, 1/x², |x|, factored polynomials of degree 3 or more, a^x, log_ax, and rigid transformations of these functions.

●      Describe the end behavior of polynomial functions.

●      Approximate the zeros of a function from its graph.

●      Solve an inequality involving a function from its graph.

●      Graph a piece-wise defined function.

Symbolic Adeptness:

●      Solve polynomial, rational, exponential, and logarithmic equations symbolically.

●      Solve equations involving radicals symbolically.

●      Solve equations with rational exponents symbolically.

●      Solve equations with negative exponents symbolically.

●      Solve polynomial and rational inequalities symbolically.

●      Use the Fundamental Theorem of Algebra and the Conjugate Zeros Theorem to find zeros of polynomials of degree three or greater.

●      Find the vertex of a parabola and the center and radius of a circle by completing the square.

●      Find the vertex of a parabola written in standard form by using the formula h = -b/2a.

●      Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.

●      Evaluate exponential and logarithmic functions using the change of base formula and a calculator.

●      Use the properties of logarithms to expand a logarithmic expression, and to write an expanded logarithmic expression as a single logarithm.

●      Solve a system of linear equations using Gaussian elimination.

●      Solve a system of linear equations using matrix inversion or Cramer’s Rule.

Applications

●      Recognize and use applications of linear functions.

●      Recognize and use applications of quadratic functions, including falling object problems and extremum problems.

●      Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling time, and half-life problems.

●      Recognize and use applications of systems of linear equations.

 

COURSE EVALUATION/GRADING SCHEME

 

Grading policy:There will be four tests during the semester that will be taken in the RVS Testing Center. The Final Exam will be taken in the classroom on Tuesday, August14, 2012, the last day of class for the semester.The Final grade for the course will be determined as follows:

●      The average of the four semester test grades will determine 60% of the final grade

●      The average of homework quiz grades will determine 15% of the final grade

●      The Final Exam will determine 25% of the final grade

 Course grades will be assigned as follows: A=90-100; B=80-89; C=70-79; D=60-69; F=below 60.

 

Tests:There will be no retesting. However, for test one only students may recover up to 50% of the points lost on the test if test corrections with steps for the correct solution are clearly written and submitted to the instructor within one week of receiving the graded test.

 

Homework:Homework will not be turned in but students are expected to attempt completion of all homework assignments by the following classperiod. Students should expect to take weekly quizzes over homework assignments. The two lowest quiz grades will be dropped and the average of the remaining homework quizzes will count for 15% of the final grade. Homework quizzes missed due to absences will receive a grade of zero.

 

COURSE POLICIES

Missed Exams:Students are responsible for arranging times with the instructor to take missed exams. Until missed exams are taken, the grade for the missed exam will be zero. A makeup test for a missed exam must be taken within one week of the test time which will be announced in class. Makeup tests taken subsequent to the first makeup test will receive a maximum score of 75%. There will not be a makeup test for test four or the Final Exam .

 

Late Works:Late assignments will not be accepted without an excuse acceptable to the instructor and will receive a grade of zero if not accepted by the instructor.

 

Class Participation:Students should read the sections in the text to be covered and be prepared to contribute to class discussion.

 

Additional course policies: 

Incomplete Grade Policy

Incomplete grades (I) will be given only in very rare circumstances.  Generally, to receive a grade of “I”, a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.                                  

 

Attendance Policy

Attendance is required in this course.  Students who miss more than 4 classes may be withdrawn.

 

Withdrawal Policy(including the withdrawal deadline for the semester) 

It is the student's responsibility to initiate all withdrawals in this course.  The instructor may withdraw students for excessive absences (4) but makes no commitment to do this for the student. After the withdrawal date, Wednesday, August 1, 2012, neither the student nor the instructor may initiate a withdrawal.

 

Testing Center:ACC Testing Center policies can be found at:  http://www.austincc.edu/testctr/ 

Course-Specific Support Services

Sections of MATH 0153(1-0-2) are sometimes offered.  This lab class is designed for students currently registered in COLLEGE Algebra, MATH 1314.  It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. Students should check the course schedule for possible offerings of the lab class.

ACC main campuses have Learning Labs, which offer free first-come, first-serve tutoring in mathematics courses. The locations, contact information and hours of availability of the Learning Labs are posted at: http://www.austincc.edu/tutor

Statement on Students with Disabilities

Each ACC campus offers support services for students with documented physical or psychological disabilities.  Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes.  Students are encouraged to do this three weeks before the start of the semester. Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.

 

Statement on Scholastic Dishonesty

Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work.  Academic work submitted by students shall be the result of their thought, work, research or self-expression.  Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.

Statement on Scholastic Dishonesty Penalty

Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty that the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook under Policies and Procedures or on the web at:

http://www.austincc.edu/handbook

Statement on Academic Freedom

Institutions of higher education are conducted for the common good.  The common good depends upon a search for truth and upon free expression.  In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions.  Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views.  With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions.  This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks.

 

Statement on Student Discipline

Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the

student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student

discipline can be found in the Student Handbook under Policies and Procedures or on the web at: http://www.austincc.edu/handbook

 

TESTING CENTER POLICY: ACC Testing Center policies can be found at:http://www.austincc.edu/testctr/

 

STUDENT SERVICES:  The web address for student services is:http://www.austincc.edu/support

The ACC student handbook can be found at:  http://www.austincc.edu/handbook

 

Calendar for 12 week session:

Week 1:  1.1, 1.2, 1.3, 1.4                     Week 2:  1.5, 2.1-2.3                           Week 3:  2.4 – 2.5, Test 1          Week 4:  3.1-3.4              Week 5:  3.5, 4.1,4.2 Week 6:  4.3, 4.4, Test 2

Week 7:  4.5-4.8, 5.1 Week 8:  5.2-5.5 Week 9:  5.6, Test 3 Week 10: 6.1,6.3 Week 11: 6.4, 6.5, 6.6 or 6.7 (choose one) Week 12:  Test 4, Review, Final Exam

 

**Additional information about ACC's mathematics curriculum and faculty is available on the Internet at http://www.austincc.edu/math/

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Homework: College Algebra through Modeling and Visualization

Section - Problems

1.1:  9, 19, 23, 25, 39, 43, 53, 57, 63, 65, 79, 81, 85, 95

1.2:  21, 25, 43, 49, 55, 61, 63, 65, 69, 71, 73, 77, 85, 87, 91, 93*

1.3:  1, 3, 5, 7, 15, 19, 23, 25, 27, 32, 37, 43, 45, 47, 50*, 61, 67, 75, 77, 79, 81, 83, 87, 89, 91, 93, 95, 97

1.4:  1, 9, 17, 19, 21, 27, 29, 31, 35, 37, 43, 53

1.5:  1, 5, 9, 13, 17, 21, 25, 29, 31, 35, 37, 43*, 47, 55, 61, 73, 77

 

2.1:  1, 3, 5, 9, 11, 15, 19, 25, 33, 37, 38, 39, 40, 41, 49, 53, 63, 67, 69, 73, 77

2.2:  5, 7, 9, 11, 15, 19, 31, 39, 41, 43, 47, 49, 51, 65, 71, 81, 87, 101, 103

2.3:  5, 13, 19, 21, 35, 47, 57, 61, 75, 79, 86, 87, 93, 101, 103, 105, 107

2.4:  1, 3, 5, 7, 9, 11, 13, 17, 23, 27, 37, 43, 47, 59, 63, 83, 87, 89

2.5:  1, 3, 7, 9, 13, 15, 16, 17, 18, 28, 35, 53, 61, 65, 71, 73, 75

 

3.1:  1, 3, 5, 7, 9, 11, 13, 17, 19, 25, 35, 39, 47, 51, 55, 59, 61, 63, 79, 81, 83, 85, 86, 87, 88

3.2:  1, 9, 15, 19, 25, 33, 39, 41, 45, 49, 53, 61, 63, 65, 68, 71, 83, 85, 87, 89, 93, 104, 115

3.3:  1, 3, 5, 7, 9, 11, 23, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 57, 61, 62, 63, 66, 75

3.4:  1, 3, 5, 7, 9, 11, 13, 21, 29, 31, 33, 43, 45, 47, 49, 51, 55, 61, 65

3.5   1, 3, 5, 7, 9, 11, 13, 21, 29, 31, 33, 37, 45, 47, 49, 51, 55, 65, 75, 79, 89, 93, 95

 

4.1:  1, 3, 5, 7, 9, 11, 15, 23, 25, 31, 35, 47, 53, 65, 69, 73, 81, 85, 91, 95*

4.2:  1, 3, 5, 8, 9, 15, 16, 25, 31, 35, 41, 45, 55, 67, 75, 77, 85

4.3:  7, 9, 13, 15, 21, 29, 32, 37, 39, 41, 43, 46, 47, 49, 51

4.4   1, 3, 7, 11, 13, 17, 21, 31, 35, 39, 43, 47, 55, 57, 59, 61,71, 79, 87, 95, 110

4.5:  1, 3, 5, 11, 15, 17, 21, 25, 29, 39, 41

4.6:  1, 7, 10, 15, 21, 24, 31, 33-36, 37, 45, 47, 49, 51, 53, 81, 85, 93, 96

4.7:  3, 5, 9, 11, 13, 17, 23, 25, 28, 29, 37, 40, 43, 47, 49, 57, 65, 71, 75, 84, 91, 93, 95, 103, 105, 108  

4.8:  1, 5, 9, 13, 17, 18, 23, 27, 31, 33, 35, 45, 46, 53, 57, 63, 65, 67, 77, 83, 85, 87

 

5.1:  1, 3, 5, 7, 9, 12, 17, 23, 33, 35, 37, 39, 41, 53, 57, 61, 65, 72, 73, 77, 85, 97

5.2:  1, 3, 5, 7, 13, 15, 19, 23, 24, 29, 39, 41, 45, 49, 55, 56, 63, 71, 77, 81, 93, 95, 101, 105, 107,   

        121, 123, 129

5.3:  1, 3, 5, 7, 9, 11, 13, 16, 17, 19, 21, 25, 27, 29, 37, 39, 41, 45, 47, 53, 55, 59, 61, 65, 69, 71, 72,

        87, 92

5.4:  1, 3, 5, 7,  11, 17, 19, 21, 23, 31, 33, 35, 37, 45, 49, 53, 57, 61, 69, 73, 75, 79, 83, 83, 99, 101,

        103, 105, 107, 117, 119, 121, 123, 125

5.5:  1, 5, 7, 11 13, 15, 23, 25, 26, 31, 32, 43, 45, 47, 52, 53, 65, 67, 75, 83, 90

5.6:  1, 3, 5, 9, 14, 17, 21, 27, 33, 37, 45, 49, 53, 55, 61, 69*, 72, 73, 75, 79, 83, 86, 93, 95, 101

 

6.1:  1, 3, 11, 21, 25, 29, 31, 32, 35, 37, 38, 43, 47, 51, 53, 58, 67, 71, 76, 81, 89, 113, 116, 122, 131,

        133, 139, 141

6.3:  1, 3, 5, 7, 9, 13, 17, 23, 27, 31, 33, 35, 37, 39

6.4:  1, 3, 5, 7, 9, 10, 11, 17, 19, 21, 23, 25, 27, 33, 39, 51, 57, 60,73, 75, 83

6.5:  1, 5, 10, 11, 13, 16, 21, 25, [27,29opt], 31, 34, 35, 37, 39, 41, 44, 55*, 65, 67

6.6:  Matrix Inverse

 

Readings

Course Subjects

Calendar for 12 week session:

Week 1:  1.1, 1.2, 1.3, 1.4                     Week 2:  1.5, 2.1-2.3                           Week 3:  2.4 – 2.5, Test 1          Week 4:  3.1-3.4              Week 5:  3.5, 4.1,4.2 Week 6:  4.3, 4.4, Test 2

Week 7:  4.5-4.8, 5.1 Week 8:  5.2-5.5 Week 9:  5.6, Test 3 Week 10: 6.1,6.3 Week 11: 6.4, 6.5, 6.6 or 6.7 (choose one) Week 12:  Test 4, Review, Final Exam

Student Learning Outcomes/Learning Objectives

Common Course Objectives for College Algebra MATH 1314

The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course. Refer to: http://www.austincc.edu/mthdept2/tfcourses/obj1314.htm

Functions:

• Use and interpret functional notation.
• Find the domain of polynomial, rational, radical, exponential, and logarithmic functions.
• Find symbolic representation of the sum, difference, product, quotient, and composition of two functions.
• Evaluate the sum, difference, product, quotient, and composition of two functions at a given value of the respective domain for functions represented symbolically, graphically, and numerically.
• Find the inverse of a function represented symbolically, graphically, or numerically.
• Interpret the graphs of functions.

Graphing functions:

• Sketch the graphs of the following functions: lines, x², x³, x^1/2, 1/x, 1/x², |x|, factored polynomials of degree 3 or more, a^x, log_ax, and rigid transformations of these functions.
• Describe the end behavior of polynomial functions.
• Approximate the zeros of a function from its graph.
• Solve an inequality involving a function from its graph.
• Graph a piece-wise defined function.

Symbolic Adeptness:

• Solve polynomial, rational, exponential, and logarithmic equations symbolically.
• Solve equations involving radicals symbolically.
• Solve equations with rational exponents symbolically.
• Solve equations with negative exponents symbolically.
• Solve polynomial and rational inequalities symbolically.
• UseFundamentalTheoremofAlgebra,ConjugateZerostofindzerosofpolynomialsdegreethreeorgreater.
• Find the vertex of a parabola and the center and radius of a circle by completing the square.
• Find the vertex of a parabola written in standard form by using the formula: h = -b/2a.
• Convert an exponential equation to logarithmic form, and a logarithmic equation to exponential form.
• Evaluate exponential and logarithmic functions using the change of base formula and a calculator.
• Uselogarithmpropertiestoexpandlogarithmicexpressions,orcompressexpressionsintoasinglelogarithm.
• Solve a system of linear equations using Gaussian elimination.
• Solve a system of linear equations using matrix inversion or Cramer’s Rule.

Applications:

• Recognize and use applications of linear functions.
• Recognize,useapplicationsofquadraticfunctions,includingfallingobjectproblemsandextremumproblems.
• Recognize and use applications of exponential and logarithmic functions, including exponential growth and decay, doubling time, and half-life problems.
• Recognize and use applications of systems of linear equations.