Dodge City Community College Syllabus for MATH 091 Intermediate Algebra 3 credit hours Spring 2010

Dodge City Community College Syllabus for MATH 091 Intermediate Algebra 3 credit hours Spring 2010 Instructor: Dylan Faullin Office: SM 208 Email: dfaullin@dc3.edu Office phone: 620-227-9236 Office hours: TBA Course meeting time/location: SM101, M-F 8:30am-9:20am Text: Intermediate Algebra, 6 th Edition, by Mark Dugopolski, McGraw-Hill Publishing, 2009. Calculator: A scientific or graphing calculator is helpful, but not required. Classroom Etiquette: Cell phones should be set to vibrate during class and should be turned off during exams. Do not answer your phone in class. Do not read the newspaper during class. Do not work on homework for another class during my class. When leaving while a lecture is in progress, be sure to do so discretely. Do not speak with other students while a lecture or exam is in progress. In other words, be attentive and not disruptive. Even if you already know the material or don t care to learn it, I ask that you be respectful of my classroom and the other students who are learning the material. Disciplinary Problems: A minor infraction of classroom rules will be charged against a student for being disruptive after an initial warning. Certain disruptive behavior may result in a minor infraction charge without warning. A major infraction will be charged against a student for multiple offenses throughout the semester or for serious misconduct in the classroom. Please look at the following chart for examples of offenses and the punishment that will result: Type of offense: Examples Punishment Minor Infraction Major Infraction Continued use of foul language; continued disruptive behavior including holding conversations with fellow students in class; cell phone ringing in class; talking back to instructor; offensive jokes or statements made toward the class or another student; listening to music during class or tests Multiple minor infractions; sexual harassment; verbal insults; threatening and/or racial remarks; foul language directed at another person; cheating; anything which violates local, state, or federal law; signing another person s name for attendance (forgery); threatening behavior; yelling; continued disruptive tardiness - may be asked to leave class immediately for the day - may be asked to sit in a different seat - will be given a verbal warning - may and should return to class the next day - incident report may be filled out (this would be a written warning) - must leave class immediately - may not return to class until you have seen me and/or the appropriate authority figures and have negotiated your return to class - more serious cases may result in permanent removal from class - incident report will be filled out and sent to the dean of students Ejection from class Two major infractions - leave class immediately - may not return to class - incident report will be filled out and sent to the dean of students **You are responsible for making up any work missed due to disciplinary action as stated above.**

Cheating: The only opportunity to cheat in my class is on exams. Cheating on an exam inlcudes, but is not limited to, copying another student's answers, obtaining answers to/knowledge of the exam prior to taking the exam, looking at notes or a cheatsheet during an exam, or otherwise creating an unfair, dishonest advantage when taking an exam. I have a no-tolerance policy on cheating. You will receive a zero if you are found cheating or attempting to cheat. You will receive an F for the course the second time you are found cheating or attempting to cheat. In addition to your punishment, an incident report will be filled out and appropriate administration officials may be notified, which could lead to further disciplinary action from the school. Attendance: It is IMPERATIVE that you make every effort to attend every class (your grade depends on it). If you decide to quit the class, please fill out a drop slip by the deadline (see your advisor). If you stop attending class and do not fill out the drop slip by the school s deadline (see Withdrawals on following page), you will receive an F as your course grade. Attendance is not figured directly into your course grade. Attendance will be taken every class meeting for the purposes of record-keeping. See the official Attendance Policy attached to this syllabus. Digital Notes: My typed lecture notes will be available online on mydc3web as the semester goes on. These notes are incomplete, but will give you a general outline of what will be covered (definitions, examples, steps for doing problems, etc). The idea is that you will print them up before class and complete them in class during lecture. Homework: The complete list of assigned homework can be found within this syllabus. The homework due dates will be announced in class. Homework is due at the beginning of class. More precisely, it must be turned in within 5 minutes of the start of class. Late homework will be accepted, but a penalty of 50% will be applied, regardless of your excuse. The solutions will be posted online after the homework due date. I will return the homework the next class for you to check your answers. You should think of the assigned homework as the minimum amount of practice needed for a reasonably well-prepared student to succeed in this course. In other words, you would most certainly benefit from doing more than assigned. Projects: To further an understanding of the material presented in class, take-home projects will be assigned periodically throughout the semester. You may work on these with other students, but everyone must turn in their answers separately with their own name on it. Tentatively, there will be four projects, but this is subject to change. Generally, you will be given one week to complete the projects. Late submissions will be subject to a penalty. Unit Exams: There will be six tests throughout the semester (seven including the final). These will be given according to the schedule found at the end of this syllabus. Generally, there will be one test per chapter. All scratch paper will be provided by the instructor and must be turned in with the exam. Make-up Policy: There may come a time when you will miss a test. It is the student s responsibility to schedule a time to take a missed exam. In the event you must miss a test, you should take the test early if possible. Taking a test later than everyone else means having more time to study (even if you don t use your extra time in that manner). Since missing a test date for whatever reason gives a student the unfair advantage of more study time, a penalty will be applied to said student s test score according to the following chart (I reserve the right to make exceptions when warranted): Test Taken: Penalty: Within 1 day of scheduled time 10% deducted from test score Between 1 and 2 days of scheduled time 20% deducted from test score Between 2 and 3 days of scheduled time 30% deducted from test score Between 3 and 4 days of scheduled time 40% deducted from test score Over 4 days after scheduled time Test score recorded as 0

No penalty is assessed for taking a test early. Thus, if you know you will be missing a test, it is in your best interest to take it early to avoid any penalties. The only exception to the above penalties will be for students who must miss the test day as well as the two school days prior to the test and who personally let me know in advance. Verification may be required in such instances. These students meeting these criteria will be allowed to make up the exam on the first day they return to classes. Failure to make-up the exam on the first day possible will result in penalties being assessed according to the above chart. Final Exam: A comprehensive final exam will be given during the scheduled final exam time. Evaluation: Course grades will be determined based on the following weighted system: Homework: 10% Projects: 10% Exams: 10% each (60% total) Final Exam: 20% Grading Scale: A: 90-100 B: 80-89 C: 70-79 D: 60-69 F: Below 60 Withdrawals: This is the OFFICIAL policy on withdrawing from a class. The last day to drop this class without my signature is April 6 th, 2009. The last day to drop this class with my signature is May 7 th, 2009. This is the policy that I will enforce. I will not give my signature to withdraw after May 7 th, as per school policy. Disabilities: If you are in need of any special assistance concerning a disability, please see me immediately. If you wait, you may not get the assistance you need. Extra-Credit: There will be no extra-credit.

Course Description: This course covers real numbers, linear equations and inequalities, applications of linear equations and inequalities, systems of linear equations, polynomials, radicals, quadratic, rational, and radical equations and their applications, and rules of exponents. The course develops the topic of graphing in the coordinate plane with analysis of equations and graphs with applications. Development and solutions of mathematical models include variation, mixture, motion, work and geometrical applications. This course meets five hours a week and will not transfer to a major fouryear college or university. Prerequisites: This is a course designed for students who have passed a basic algebra course with a C or above or students who did not place in College Algebra from placement testing. Course Objectives: This course will provide the student the opportunity to: 1. Think creatively. 2. Analyze what procedure to use to solve a problem. 3. Apply the model that best supports given data. 4. Use scientific or graphing calculators to analyze and solve problems. 5. Solve problems graphically. 6. Solve problems numerically. 7. Solve problems symbolically. 8. Present verbal explanations of work. 9. Research and write on related course topics. 10. Be a productive team member. Course Competencies: It is assumed students entering an Intermediate Algebra course will have the outcomes and competencies from prerequisite courses. Students will be expected to use appropriate technology as one tool to achieve competency in Intermediate Algebra. Arithmetic and Algebraic Manipulation A. Factor quadratic, quadratic forms, special forms, and grouping. B. Perform addition, subtraction, multiplication, and division on rational expressions. C. Simplify complex fractions. D. Apply the laws of exponents to simplify expressions containing rational expressions. E. Apply the laws of radicals to perform addition, subtraction, and multiplication. F. Rationalize denominators containing radicals. G. Simplify radicals containing negative radicands. H. Perform operations with complex numbers. I. Evaluate functions using function notation. Equations and Inequalities A. Solve linear inequalities in one variable showing solution on a number line and in interval notation. B. Solve literal equations including those that require factoring.

C. Solve systems of linear equations in two variables. D. Solve equations by factoring and the quadratic formula. E. Solve equations containing rational expressions. F. Solve equations containing radicals. G. Solve linear absolute value equations and inequalities in one variable. H. Develop and solve mathematical models including variation, mixture, motion, work, and geometrical applications. Graphs on a Coordinate Plane A. Graph linear equations and inequalities. B. Graph quadratic functions. Analysis of Equations and Graphs A. Determine an equation of a line given two points, perpendicular to a given line through a specified point, parallel to a given line through a specified point. B. Calculate the distance between two points. C. Distinguish between functions and non-functions using the vertical line test. D. Identify the domain and range of a function given its graph. Textbook/Course Outline: Intermediate Algebra, 5 th Edition, by Mark Dugopolski, McGraw-Hill Publishing, 2006. Chapter 2: Linear Equations and Inequalities in One Variable 65 2.1 Linear Equations in One Variable 66 2.2 Formulas and Functions 78 2.3 Applications 89 2.4 Inequalities 102 2.5 Compound Inequalities 114 2.6 Absolute Value Equations and Inequalities 125 Chapter 3: Linear Equations and Inequalities in Two Variables 145 3.1 Graphing Lines in the Coordinate Plane 146 3.2 Slope of a Line 158 3.3 Three Forms for the Equation of a Line 170 3.4 Linear Inequalities and Their Graphs 183 3.5 Functions and Relations 199 Chapter 4: Systems of Linear Equations 225 4.1 Solving Systems by Graphing and Substitution 226 4.2 The Addition Method 238

Chapter 5: Exponents and Polynomials 291 5.1 Integral Exponents and Scientific Notation 292 5.2 The Power Rules 305 5.3 Polynomials and Polynomial Functions 314 5.4 Multiplying Binomials 323 5.5 Factoring Polynomials 331 5.6 2 Factoring ax + bx + c 341 5.7 Factoring Strategy 350 5.8 Solving Equations by Factoring 358 Chapter 6: Rational Expressions and Functions 377 6.1 Properties of Rational Expressions and Functions 378 6.2 Multiplication and Division 388 6.3 Addition and Subtraction 396 6.4 Complex Fractions 407 6.5 Division of Polynomials 415 6.6 Solving Equations Involving Rational Expressions 425 6.7 Applications 433 Chapter 7: Radicals and Rational Exponents 453 7.1 Radicals 454 7.2 Rational Exponents 464 7.3 Adding, Subtracting, and Multiplying Radicals 475 7.4 Quotients, Powers, and Rationalizing Denominators 482 7.5 Solving Equations with Radicals and Exponents 491 7.6 Complex Numbers 502 Chapter 8: Quadratic Equations, Functions, and Inequalities 521 8.1 Factoring and Completing the Square 522 8.2 The Quadratic Formula 533 8.4 Quadratic Functions and Their Graphs 552 Chapter 9: Additional Function Topics 585 9.1 Graphs of Functions and Relations 586 9.2 Transformations of Graphs 598 9.5 Variation 629

Tentative Schedule: Date Section Page Homework 1-12 Syllabus --- ---- 1-13 2.1 66 2.1 10, 14, 16, 18, 22, 26, 30, 34, 38, 42, 46, 48, 50, 54, 60, 62, 66, 70, 74, 76, 78, 82, 84 1-14 2.2 78 2.2 8, 10, 14, 16, 20, 24, 28, 30, 32, 44, 48, 54, 56, 62, 70, 74, 76, 78 (see hint on 77) 1-15 2.3 87 2.3 13, 16, 18, 20, 22, 24, 28, 30, 32, 36, 38, 44, 48, 52, 54, 56, 62, 64, 68, 70, 76, 82, 86, 88, 94 1-18 2.3 87 --- 1-19 2.3 87 --- 1-20 2.4 102 2.4 10, 14, 16, 18, 22, 24, 26, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 70, 72, 76, 80, 82, 84, 88, 90 1-21 2.5 114 2.5 8, 10, 12, 14, 16, 20, 22, 24, 26, 28, 30, 32, 34, 36, 40, 42, 44, 48, 50, 54, 58, 60, 62, 64, 68, 70, 72, 74, 76, 78, 84, 90 1-22 2.5 114 --- 1-25 2.6 125 2.6 8, 10, 12, 14, 18, 22, 26, 28, 30, 34, 36, 40, 42, 44, 56-80 even, 84, 94 1-26 Review --- --- 1-27 Test 1 --- Test 1 1-28 3.1 146 3.1 8, 10, 12, 14, 18, 20, 22, 24, 26, 28, 30, 32, 34, 38, 40, 42, 44, 48, 52, 58, 70, 72, 78, 80, 84, 88 1-29 3.2 158 3.2-8, 10, 12, 16, 22, 24, 26, 30, 34, 36, 40, 42, 44, 46, 48, 50, 52, 54, 56, 62, 68 2-01 3.3 170 3.3 8, 10, 12, 16, 18, 20, 22, 26, 32, 34, 36, 40, 46, 56, 58, 64, 68, 70, 72, 74, 76, 78, 80, 82, 88, 92, 96, 98, 100, 104 2-02 3.3 170 --- 2-03 3.4 183 3.4 8, 10, 14, 18, 20, 22, 26, 32, 40, 42, 44, 46, 48, 54, 58, 66, 68, 76, 80, 82, 84, 92, 98, 104 2-04 3.4 183 --- 2-05 3.5 199 3.5 8, 10, 16, 18, 26, 28, 30, 34, 36, 44, 46, 48, 52, 54, 56, 58, 60, 66, 68, 70, 72, 74, 80, 82, 84, 86, 90, 92, 94, 98 2-08 3.5 199 (Domain) 2-09 4.1 226 4.1 8, 10, 14, 16, 18, 36, 40, 42, 46, 50, 54, 56, 58, 64, 70, 74, 76, 88, 94, 100 2-10 4.1 226 --- 2-11 4.2 238 4.2 8, 10, 12, 16, 20, 24, 26, 28, 32, 38, 40, 50, 52, 62, 64, 66, 70 2-12 4.2 238 --- 2-15 Review --- --- 2-16 Test 2 --- Test 2 2-17 5.1 292 5.1 8, 10, 14, 18, 20, 22, 24, 28, 36, 38, 40, 42, 48, 50, 54,

58, 60, 62, 66, 68, 78, 80, 86, 88, 94, 100, 108, 110 2-18 5.1 292 --- 2-19 5.2 305 5.2 10, 12, 16, 18, 22, 26, 28, 34, 38, 42, 44, 46, 48, 50, 56, 58, 60, 66, 70, 72, 76, 80, 90, 92 2-22 5.2 305 --- 2-23 5.3 314 5.3 12, 14, 16, 22, 24, 28, 30, 32, 34, 36, 46, 48, 52, 54, 56, 68, 70, 72, 76, 84, 92, 94 2-24 5.4 323 5.4 10, 12, 16, 20, 24, 28, 30, 36, 40, 44, 46, 50, 54, 58, 60, 68, 70, 74, 78, 80, 90, 100, 101, 106 2-25 5.5 331 5.5 10, 12, 14, 16, 20, 24, 28, 32, 34, 38, 40, 42, 44, 48, 50, 56, 59, 62, 70, 72, 76, 90, 94, 98, 100 2-26 5.6 341 5.6 8, 12, 14, 16, 18, 20, 22, 24, 28, 32, 34, 36, 38, 40, 42, 46, 48, 52, 60, 62, 66, 68, 80, 82, 84, 88, 90, 94, 98, 102, 108 3-01 5.6 341 --- 3-02 5.7 350 5.7-6, 8, 10, 12, 14, 16, 24, 26, 30, 32, 34, 36, 40, 46, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 102, 105 3-03 5.8 358 5.8-8, 10, 12, 14, 16, 18, 20, 22, 26, 30, 34, 36, 42, 48, 50, 52, 54, 62, 64, 66, 80, 82, 84, 88, 92 3-04 5.8 358 --- 3-05 Review --- --- 3-08 Test 3 --- Test 3 3-09 6.1 378 6.1-8, 10, 12, 14, 16, 18, 22, 24, 26, 28, 32, 34, 36, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 62, 64, 68, 70, 72, 74, 80, 86, 92, 94, 98 3-10 6.1 378 --- 3-11 6.2 388 6.2-6, 10, 12, 14, 16, 20, 22, 24, 26, 28, 30, 36, 38, 40, 44, 48, 52, 54, 58, 62, 64, 72, 76, 80, 82, 88 3-12 6.3 396 6.3-8, 12, 14, 16, 20, 22, 24, 26, 28, 30, 32, 34, 38, 40, 42, 44, 48, 50, 52, 54, 56, 60, 62, 64, 66, 68, 86, 88, 90, 96 3-22 6.3 396 --- 3-23 6.3 396 --- 3-24 6.4 407 6.4-6, 8, 10, 12, 16, 20, 22, 24, 28, 30, 32, 34, 36, 42, 44, 46, 48, 52, 54, 60, 72 3-25 6.5 415 6.5 8, 12, 16, 18, 22, 26, 28, 34, 38, 42, 46, 48, 50, 54, 56, 58, 62, 64, 66, 70, 72, 74, 76, 82, 86, 90, 92 3-26 6.5 415 --- 3-29 6.6 425 6.6-10, 14, 18, 20, 22, 24, 26, 28, 30, 32, 36, 38, 40, 42, 44, 46, 52, 54, 58, 62, 64, 68, 70, 74, 76, 78, 80 3-30 6.6 425 --- 3-31 6.7 433 6.7 2, 6, 8, 10, 16, 18, 22, 27, 30, 34, 38, 40, 42, 44, 45, 46, 47, 50 4-05 Review --- --- 4-06 Test 4 --- Test 4 4-07 7.1 454 7.1-8, 10, 12, 14, 16, 18, 22, 24, 26, 28, 30, 34, 36, 38, 42,

44, 46, 48, 50, 52, 54, 56, 58, 62, 66, 68, 70, 72, 74, 76, 78, 82, 84, 88, 90, 94, 96, 100, 102, 104, 106 4-08 7.1 454 --- 4-09 7.2 464 7.2-10, 12, 14, 16, 18, 20, 22, 24, 26, 30, 34, 38, 40, 42, 44, 46, 48, 52, 56, 60, 62, 64, 66, 68, 70, 72, 74, 76, 82, 86, 90, 94, 98, 100, 102, 106, 108, 120, 122, 124, 128 4-12 7.3 475 7.3-6, 8, 10, 12, 14, 18, 20, 22, 26, 28, 30, 34, 36, 38, 42, 44, 48, 50, 54, 56, 58, 60, 62, 66, 68, 74, 78, 80, 82, 86, 90, 92, 94, 96, 102, 106, 108 4-13 7.3 475 --- 4-14 7.4 482 7.4-2, 4, 6, 10, 14, 16, 20, 22, 24, 26, 28, 30, 34, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 66, 72, 76, 80, 84, 88, 90, 92, 94, 96, 100, 102 4-15 7.5 491 7.5-6, 8, 10, 14, 16, 18, 20, 22, 28, 30, 32, 36, 38, 40, 42, 44, 46, 50, 54, 56, 60, 62, 64, 66, 68, 72, 74, 78, 80, 86, 92, 98, 100, 104 4-16 7.5 491 --- 4-19 7.6 502 7.6-8, 10, 14, 18, 20, 22, 24, 26, 30, 34, 36, 38, 44, 46, 50, 52, 56, 58, 60, 62, 66, 72, 74, 76, 82, 86, 90, 94, 96, 98, 106 4-20 Review --- --- 4-21 Test 5 --- Test 5 4-22 8.1/8.2 522/533 8.1 6, 8, 18, 20, 26, 28, 32, 34, 38, 52, 54, 70 8.2-8, 12, 14, 16, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 48, 52, 54, 56, 62, 83, 86, 88, 94 4-23 8.2 533 --- 4-26 8.3 552 8.4 8, 12, 14, 16, 18, 20, 26, 28, 30, 32, 34, 38, 42, 44, 46, 48, 50, 54, 58, 62, 64, 65 4-27 8.3 552 --- 4-28 9.1 586 9.1-10, 14, 18, 20, 24, 26, 28, 30, 34, 36, 38, 40, 44, 46, 52, 54, 56, 58, 60, 66, 74 4-29 9.2 598 9.2 12, 14, 16, 20, 22, 24, 26, 28, 30, 36, 38, 40, 42, 44, 46, 50, 52 4-30 9.2 598 --- 5-03 9.5 629 9.5 8, 10, 12, 14, 18, 20, 30, 34, 36, 42, 44, 48, 50, 54, 58 5-04 Review --- --- 5-05 Test 6 --- Test 6 5-06 Review --- --- 5-07 Review --- --- Final Exam TBA --- TBA Holidays: Spring Break: 3-15 through 3-19 Campus Conversation Day: 4-01 Good Friday: 4-02

DCCC Official Attendance Policy (Approved Summer 2006) Regular attendance and prompt completion of class work are necessary for maximum success in college. Each student is expected to be present at all classes in which he/she is enrolled. In the event of an absence, the student is responsible for making up the course work. Absences for college-sponsored activities will be recorded as excused if the following steps are completed: 1) The activity sponsor notifies each instructor at least three school days prior to the day(s) the student will be absent (or as soon as possible if the event is rescheduled). 2) The student contacts the instructor and makes definite arrangements for all work at least three school days prior to the absence. 3) The instructor designates assignments as required by the instructor. (College-sponsored activities include academic competition, music and drama events, official athletic events, field trips, convocations and other college-sponsored events as approved by the Dean of Instruction.) For all absences other than those for college sponsored activities, each instructor shall establish the attendance requirements for his/her class. Commonly, a student is allowed the same number of absences as the credit hour value of the course. For example, a student would be allowed three absences during the semester for a one-hour day class which meets three times a week. For a three-hour night course, the number of allowable absences would be one class session during the semester. The individual instructor may allow additional absences at his/her discretion. It is recommended that if a student misses more than the credit hour value of the class, the instructor would contact the student directly and discuss his/her standing in the course. The instructor would also inform the registrar s office as to the student s status in the course. No statement in this policy shall preclude attendance polices that would meet the requirements of an accrediting or governmental agency.