MATH-1314 College Algebra
Charlene Madrigal
Fall 2011
Section(s)
MATH-1314-043 (36456)
LEC TuTh 3:00pm - 4:20pm PIN PIN1 610
Course Requirements
MATH 1314.043
College Algebra
Fall, 2011
Instructor: Charlene Madrigal
TTh: 3-4:20
PIN: Room 610
Synonym: 36456
Office: Room 607
Office Hours: TTh: 1:20-3:00.
Voice Mail: 223-1790, Ext. 25200
E-mail: cmadriga@austincc.edu (this is the best way to communicate with me)
1. Class syllabus
2. Assignment Sheet
3. Calendar for the semester
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.
REQUIRED TEXTS/MATERIALS
ISBN# 0-32154230-4
(Although I will not be using MyMathLab, the following information is supplied)
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 $75.00 at: 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.com for more information. To use MyMathLab, you'll need:
▫ Course ID*TBA
▫ 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.
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
COURSE EVALUATION/GRADING SYSTEM
Time:
You cannot learn mathematics by only watching someone else work and discuss concepts and problems. This course will require you to read the chapter and answer the exercises that are assigned at the end of each section. As a general rule of thumb, you should allocate 3 hours of study time for each hour in class. A steady pace must be maintained throughout the semester. Do not wait until the night before a test to try to master all of the homework and concepts. Don’t let yourself get behind as this is a course built on previous concepts. From my experience the students who seem to experience the most difficulty in a math class are those who do not come to class and who do not keep up with the daily work. I’m not trying to scare you, just offer advice based on experience. If you are having difficulty in the first few classes you should come by my office to discuss this with me.
Communication:
A good way to communicate with me is through email at cmadriga@austincc.edu, especially if you are having problems or cannot make it to class for some reason. In the event of bad weather, fires, or other extenuating circumstances, I will communicate t0 the class through Blackboard. If you have never used it, it can be found at the ACC home page on the right lower portion of the page. Just click on the prompt, input your student ID and password and follow the prompts. I will post your test grades as soon as possible after a test and I will also post your quiz average at the end of the semester.
Testing:
The accompanying calendar will indicate that there will be four tests plus the comprehensive final. Tests will be taken in class. If for some reason you cannot take a test on the designated day, there will not be a make-up. Instead you will take the comprehensive final on the last class day. If you have not missed a test, then the comprehensive final is optional. No notes are used on tests. You will need to discuss or email me if you do miss a test. If you miss more than one test you and I will need to discuss the individual situation. Each test will be weighted equally in computation of your grade. I do not drop any test grades.
Quizzes:
There will be about ten homework quizzes covering previous material. One quiz grade will be dropped, but there are no make-up quizzes. At the end of the semester the quizzes will be averaged and will count as one test grade. Notes and homework may be used on quizzes. They will cover material from previous class lectures. The quizzes will average will be 10% of your grade
Homework:
Homework is an essential part of learning mathematics. I intend for homework to serve as a learning device. You are encouraged to check your own work and please ask question in class to clarify problems. I have an assignment sheet attached behind the syllabus. Homework will be collected before each test and spot-checked. You must show work on your homework in order to receive credit. Again from my experience, students who do the homework are generally prepared for the tests and subsequently score much better. Be sure to show your work when doing your assignments. Your homework will be 10% of your grade
Grading Scale:
A 100-90
B 89-80
C 79-70
D 69-60
F below 60
Tests: 80%
Homework: 10%
Quizzes: 10%
Class Participation:
I encourage you to ask questions. If you are having problems with a concept, be assured that you are probably not alone. I like to do a question/answer session at the beginning of each class, but feel free to ask questions and contribute to the lecture.
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 although I make no commitment to do so. Generally, this is your decision. Hopefully the lectures will offer you a great deal of help in the course.
Withdrawal Policy:
It is the student's responsibility to initiate all withdrawals in this course. I may withdraw students for excessive absences (4) but make no commitment to do this for the student. After the last day to withdraw, Thursday, November 17, 2011, neither the student nor the instructor may initiate a withdrawal. Keep in mind if you began college on or after fall, 2007, you are only allowed 6 withdrawals from courses during your college career.
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: MATH 1314 College Algebra
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, x1/2, 1/x, 1/x2, |x|, factored polynomials of degree 3 or more, ax, logax, 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-Specific Support Services: Sometimes sections of MATH 0163(1-0-2) are offered. The lab is designed for students currently registered in Business Calculus and Applications I, MATH 1425. 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 Learning Lab for Pinnacle is located in Room 600. Hours are: M-Th, 8am to 8pm; F, 9am to 3pm. They are not open on the weekends. For other 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 two 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/ The Testing Center at Pinnacle Campus is located in Room 706. Hours are: M-Th, 9am to 8pm, F, 8am to 4pm. They are not open on the weekend. You will only need to use the Testing Center if you miss a test. You will need your ACC photo ID in order to take a test in the center.
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/
Assignment Sheet for Math 1314.043
Fall, 2011
Instructor: Charlene Madrigal
Changes on the assignments may occur and will be announced in class
Section – Problems
Test One
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
Test Two
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
Test Three
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, (27, 29, 30 if using graphing calculator option) , 31, 35, 39, 43, 47, 55, (57, 59, 61 if non GC option) 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
Test Four
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: TBA
6.7: TBA
Test Five
Comprehensive Final
Office Hours
Published: 08/18/2011 14:13:37