# Math Department Sample Syllabus: MAT 009 Intermediate Algebra (3 units).

(Revised July 2012.) This is a proposed sample syllabus only. It has not yet been approved by the math department. Please ask your instructor for the official syllabus for this course.

Room, and time:
Instructor:
Office:
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Online Tutorial and Homework http://www.mhhe.com/csudh/Algebra Course Code

### The Entry Level Math (ELM) requirement

Most MAT 009 students take the course to satisfy the ELM requirement. Students may satisfy the ELM requirement by earning a CR grade in MAT 009.

There are other ways to satisfy the ELM requirement. For example, one may satisfy the ELM requirement by earning a score of 50 or above on the ELM exam, or a score of 550 or higher on the math SAT. You may repeat the ELM exam as many times as necessary to earn a passing score. Please consult the University Advisement Center http:www.csudh.edu/uac/ or the Testing Office http://www.csudh.edu/testing/ for details.

### Preparation for Courses for Math and Science Majors

MAT 003 & MAT 009 are not enough to prepare students for the more demanding courses like MAT 153 Pre-Calculus or MAT 191 Calculus I that are required in math and science majors. MAT 003 and 009 are designed only to prepare students for general education math courses MAT 105 and MAT 131 and general education science courses. Students with rusty math skills who are planning to major in science or math should take a full course in College Algebra at a local community college.

### Proposed Course Description

(For the official course description please see the University Catalog. We are working to have the official course description changed to make it fit more closely to what is currently being taught in MAT 009.)

Rational expressions and equations, absolute value equations and inequalities, linear inequalities, roots and rational exponents, radical expressions and equations, completing the square, quadratic formula, quadratic functions and graphs, word problems and applications.

MAT 009 meets for three hours of lecture per week for fifteen weeks. It is graded on a CR/NC basis. MAT 009 does not count toward the Bachelor's degree, but it does satisfy the ELM requirement.

### Prerequisites

To enroll in MAT 009 students must show they have credit in MAT 003 or they must have an ELM score of 42 through 49 or equivalent.

### Required Text

The text and other materials are on a custom website with Connect Home Work Manager, ALEKS Assessment, and Messersmith Beginning & Intermediate Algebra eFlash book, ISBN 98-0-07-338437-5. (Students can print chapter by chapter).

A paper copy of the textbook is not required, but it is available at the bookstore.

#### Calculator Use

A scientific calculator is recommended. The use of graphing or cell phone calculators is not permitted in this class.

### Student Learning Outcomes

After completing MAT 009 students will be able to:

• Add, subtract, multiply and divide simple rational expressions.
• Solve problems including word problems using rational expressions.
• Use rational exponents.
• Solve simple problems involving radicals.
• Solve and graph inequalities and systems of inequalities in one and two variables.
• Graph quadratic functions and parabolas.
• Apply simple geometric transformations to graphs.

### Method of Evaluating Outcomes and Grading Policy

Evaluations are based on homework, class participation, quizzes, and scheduled examinations covering students' understanding of the topics covered in MAT 009.

MAT 009 is a CR/NC class.

 10% of grade = Homework 5% of grade = Class participation 15% of grade = Quizzes 70% of grade = 2 Midterms (20% each) + 1 Final (30%)

### Exams and Exam Dates

Midterms and the final exam are cumulative common exams written and graded by the math department. Quizzes, homework, or other tests may be common or written and graded by the individual instructors. To receive credit for the course, a minimum score of 70% is required.

Midterm dates are listed on the calendar at the end of this syllabus. Final exams are given according to the CSUDH final exam schedule. There are no makeup exams.

Dates for quizzes, homework, etc. are determined by the instructor. Final exams are given on the last scheduled class meeting if the class meets during the first two thirds of the semester. If the class meets during the last third of the semester the final exam is given on the scheduled date for final exams for that class.

### Homework and Class Participation

Homework: Homework is online through Connect. Dates and times of completion are listed for each assignment. Take homework seriously! It is the main vehicle for learning in math classes. Instructors may assign additional homework or alternative homework.

Attendance: Students are expected to attend every scheduled class. It is the student's responsibility to initial the attendance roster at every meeting and to keep informed of any announcements, syllabus adjustments, or policy changes. Students who miss the first week of classes will be dropped. Points will be deducted for arriving late or leaving early.

Behavior: The most important rule for this class is RESPECT THE RIGHTS OF YOUR FELLOW STUDENTS. Therefore, no disruptive behavior will be permitted during class time; this includes but is not limited to coming to class late, leaving early, use of cell phones or other communication devices (such as the ringing of phones or alarms) and listening to music. All cell phones, IPODs, and other communication devices must be turned off and remain out of sight.

Participation: Student participation is expected such as contributing to group and class discussions.

5 Minute Meeting: All students are required to meet with their instructor for a 5-minute meeting within the first three weeks of the semester.

### Policy on Due Dates and Make-Up Work

Assignments are due at the start of the class. There are no exceptions; no late or make-up work will be accepted. It is the student's responsibility to have homework delivered to the instructor by the start of class on the due date. Since most homework is online that means the date and time of completion must be before the start of class. If other homework is assigned, it is due by the start of class and can be delivered either in person, by email, or by having a classmate bring it to class. There are no makeup tests except in an extreme emergency, but then proof of the emergency must be provided when requesting a makeup and you must contact the instructor directly, by email, or voice mail as soon as possible; do not wait until the next class to ask about a makeup test since the test may be discussed during that class time.

### Withdraw/Drop Information

In fall semester 2012 the last day to drop without record of enrollment is Thursday September 13. Even though the last day to drop a course with a "Withdraw" on the student's record is Thursday November 15, the Mathematics Department will not grant a withdraw to any student under any circumstances unless he/she is withdrawing from the University.

The mathematics department does not tolerate cheating. Students who have questions or concerns about academic integrity should ask their professors or the counselors in the Student Development Office, or refer to the University Catalog for more information. (Look in the index under "academic integrity".)

### Accommodations for Students with Disabilities

Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.

### Creating Conditions for Successful Learning

Research shows success in math class depends very much on two factors: the amount of time spent working on the material, and the student's beliefs about mathematics and what it means to understand and do mathematics. With this in mind, here are some suggestions:

• Be in class, every class, and be on time.
• Be prepared to participate in group work and discussions every day so that class time is not wasted, and
• Spend at least 1 hour every day, not including class time, working on homework assignments, and studying.
• Realize that mathematics is not just a set of procedures, and that mathematical concepts involve a lot of thinking and reasoning. Consequently, being able to execute procedures accurately is only one part of doing well in this class.
• Realize that success in mathematics is less about "ability" and more about willingness to think and to work hard to make sense of things.

In addition, you need to have:

• your assignments with you and ready to turn in on the day they are due
• the phone numbers and emails of at least 2 classmates (preferably "study buddies") who will work with you in partnership to collect any handouts and inform you of important information should you miss a class.

#### Write names of study buddies here:

Name: _______________________________ email: _________________________

Name: _______________________________ email: _________________________

### Classroom Norms

As we will spend a lot of time working in partnerships, in groups, and in class discussions, here are some rules to help you navigate what may be an unfamiliar experience in a math class.

• Never call out an answer until the person leading the classroom has given permission. Raise your hand.
• This is a safe environment. That means that you should feel free to ask a question or offer an opinion or an answer, and no one will make fun of you for what you say.
• If you are working with classmates, work with them. Do not wait and hope that others will do your work for you, and do not move on to other assignments while your classmates are struggling to understand the current one.
• Be considerate of others. In addition to the ways to be considerate listed above, do not dominate group or class discussions. Remember that everyone needs an opportunity to share his/her ideas.
• Do not expect me to validate your answers or those of anyone else.  You are responsible for making sense of answers and solution methods, and you should always look for ways to verify your work.
• Cell phones should be off or set to "vibrate". Do not place a call during class, and do not answer a phone call without first leaving the room.

These rules are meant to benefit the entire class, and to ensure that everyone has the opportunity to contribute and to learn.

Practice Problems can be found in three locations. The first is online, the second is at the end of each section, and the third is either at the end of the mid-chapter review or the chapter review. It is highly recommended that you first view the online tutorials associated with each chapter before completing the online homework exercises. The advantage of doing online exercises for homework is that you will be provided with instant feedback and hints on how to properly complete the exercise.

## Sample Calendars

### MAT 009 Sample Calendar for Monday, Wednesday Classes, Fall Semester 2012

* These exercises are excellent preparation for the exams. They are in our textbook Messersmith, S. (2009) Beginning and Intermediate Algebra 3rd edition.

Week Day Date Section Exercises
1 M 8/27 Section 8.1: Simplifying Rational Expressions Section 8.1: 12, 14, 20, 34
W 8/29 Section 8.2: Multiplying and Dividing Rational Expressions Section 8.2: 6, 14, 28, 32
2 M 9/3 Labor Day Holiday. NO CLASS
W 9/5 Section 8.3: Finding the Least Common Denominator
Section 8.4: Adding and Subtracting Rational Expressions
Section 8.3: 8, 16, 24, 26
Section 8.4: 8, 10, 24, 30
3 M 9/10 Section 8.6: Solving Rational Equations Section 8.6: 18, 24, 26, 28, 32
W 9/12 Section 8.7: Applications of Rational Equations Section 8.7: 10, 20, 24, 34, 40
4 M 9/17 Section 9.1: Solving Absolute Value Equations Section 9.1: 10, 16, 30
W 9/19 Section 9.2: Solving Absolute Value Inequalities Section 9.2: 16, 18, 20, 30, 32, 34
5 M 9/24 Practice for Midterm I

W 9/26 Midterm I
6 M 10/1 Section 9.3: Solving Linear and Compound Linear Inequalities in Two Variables Section 9.3: 34, 38, 39, 50
W 10/3 Section 10.1: Finding Roots
Section 10.2: Rational Exponents
Section 10.1: 6, 22, 24, 26, 28, 56, 88
Section 10.2: 36, 42, 58, 76. 100
7 M 10/8 Midterm I Review in Office Schedule an appointment
W 10/10 Section 10.3: Simplifying Expressions Containing Square Roots
Section 10.4: Simplifying Expressions Containing Higher Roots
Section 10.3: 20, 38, 62, 76
Section 10.4: 16, 36, 60, 62, 82
8 M 10/15 Section 10.5: Adding, Subtracting, and Multiplying Radicals Section 10.5: 24, 34, 60, 80, 90, 94
W 10/17 Section 10.6: Dividing Radicals Section 10.6: 12, 16, 72, 82
9 M 10/22 Section 10.7: Solving Radical Equations Section 10.7: 6, 8, 30, 36
W 10/24 Practice Test for Midterm II
10 M 10/29 Midterm II
W 10/31 Section 11.1: Review of Solving Equations by Factoring Section 11.1: 2, 12, 26, 46
11 M 11/5 Section 11.2: The Square Root Property and Completing the Square Section 11.2: 16, 22, 24, 30, 68, 82, 96
W 11/7 Midterm II Review in Office Schedule an appointment
12 M 11/12 Veterans Day Holiday. NO CLASS
W 11/14 Section 11.3: The Quadratic Formula Section 11.3: 10, 21
13 M 11/19 Section 11.5: Formulas and Applications Section 11.5: 2, 4, 10
W 11/21 Section 12.1: Relations and Functions Section 12.1: 30, 36, 64, 68, 84
14 M 11/26 Section 12.2: Graphs of Functions and Transformations Section 12.2: 2, 8, 10, 50
W 11/28 Section 12.3: Quadratic Functions and Their Graphs Section 12.3: 10, 18, 30, 46
15 M 12/3 Section 12.4: Applications of Quadratic Functions and Graphing Other Parabolas Section 12.4: 10, 16, 20, 24
W 12/5 Practice test for Final Exam
16 M 12/10 Final Exam if class begins at 10:00, 13:00, 16:00, or 19:00
W 12/12 Final Exam if class begins at 8:30, 11:30, 14:30, or 17:30

### MAT 009 Sample Calendar for Tuesday, Thursday Classes, Fall Semester 2012

* These exercises are excellent preparation for the exams. They are in our textbook Messersmith, S. (2009) Beginning and Intermediate Algebra 3rd edition.

Week Day Date Section Exercises
1 Tu 8/28 Section 8.1: Simplifying Rational Expressions Section 8.1: 12, 14, 20, 34
Th 8/30 Section 8.2: Multiplying and Dividing Rational Expressions Section 8.2: 6, 14, 28, 32
2 Tu 9/4 Section 8.3: Finding the Least Common Denominator
Section 8.4: Adding and Subtracting Rational Expressions
Section 8.3: 8, 16, 24, 26
Section 8.4: 8, 10, 24, 30
Th 9/6 Section 8.6: Solving Rational Equations Section 8.6: 18, 24, 26, 28, 32
3 Tu 9/11 Section 8.7: Applications of Rational Equations Section 8.7: 10, 20, 24, 34, 40
Th 9/13 Section 9.1: Solving Absolute Value Equations Section 9.1: 10, 16, 30
4 Tu 9/18 Section 9.2: Solving Absolute Value Inequalities Section 9.2: 16, 18, 20, 30, 32, 34
Th 9/20 Practice for Midterm I

5 Tu 9/25 Midterm I
Th 9/27 Section 9.3: Solving Linear and Compound Linear Inequalities in Two Variables Section 9.3: 34, 38, 39, 50
6 Tu 10/2 Section 10.1: Finding Roots
Section 10.2: Rational Exponents
Section 10.1: 6, 22, 24, 26, 28, 56, 88
Section 10.2: 36, 42, 58, 76. 100
Th 10/4 Midterm I Review in Office Schedule an appointment
7 Tu 10/9 Section 10.3: Simplifying Expressions Containing Square Roots Section 10.3: 20, 38, 62, 76
Th 10/11 Section 10.4: Simplifying Expressions Containing Higher Roots Section 10.4: 16, 36, 60, 62, 82
8 Tu 10/16 Section 10.5: Adding, Subtracting, and Multiplying Radicals Section 10.5: 24, 34, 60, 80, 90, 94
Th 10/18 Section 10.6: Diving Radicals Section 10.6: 12, 16, 72, 82
9 Tu 10/23 Section 10.7: Solving Radical Equations Section 10.7: 6, 8, 30, 36
Th 10/25 Practice Test for Midterm II
10 Tu 10/30 Midterm II
Th 11/1 Section 11.1: Review of Solving Equations by Factoring Section 11.1: 2, 12, 26, 46
11 Tu 11/6 Section 11.2: The Square Root Property and Completing the Square Section 11.2: 16, 22, 24, 30, 68, 82, 96
Th 11/8 Midterm II Review in Office Schedule an appointment
12 Tu 11/13 Section 11.3: The Quadratic Formula Section 11.3: 10, 21
Th 11/15 Section 11.5: Formulas and Applications Section 11.5: 2, 4, 10
13 Tu 11/20 Section 12.1: Relations and Functions Section 12.1: 30, 36, 64, 68, 84
Th 11/22 Thanksgiving Day Holiday. NO CLASS Happy Thanksgiving!
14 Tu 11/27 Section 12.2: Graphs of Functions and Transformations Section 12.2: 2, 8, 10, 50
Th 11/29 Section 12.3: Quadratic Functions and Their Graphs Section 12.3: 10, 18, 30, 46
15 Tu 12/4 Section 12.4: Applications of Quadratic Functions and Graphing Other Parabolas Section 12.4: 10, 16, 20, 24
Th 12/6 Practice test for Final Exam
16 Tu 12/11 Final Exam if class begins at 10:00, 13:00, 16:00, or 19:00
Th 12/13 Final Exam if class begins at 8:30, 11:30, 14:30, or 17:30

Revision history:

Prepared by Edgar Perez, 7/23/2012. Earlier versions prepared by J. Wilkins 2/17/00, revised 7/7/01, 7/25/06 by G. Jennings, and 08/28/08 by D. Post with portions gleaned from syllabi of M. Jones and S. Yoshinobu.