SOUTHWEST COLLEGE Department of Mathematics MATH 0312: Intermediate Algebra Summer I, 2011 CRN Number: 77884 MoTuWeTh 5:30PM - 8:45PM Scarcella Technology Center Rm W118 INSTRUCTOR: CONTACT INFORMATION: Kristine Nguyen Kristine.nguyen1@hccs.edu Textbook: Intermediate Algebra, 10th Edition. Margaret Lial, John Hornsby, & Terry McGinnis. Pearson / Addison Wesley: Boston, 2008. (The textbook is packaged together with the solutions manual and the Mymathlab access code at the bookstores at SW College.) Catalog Description: Topics include factoring techniques, radicals, algebraic fractions, complex numbers, graphing linear equations and inequalities, quadratic equations, systems of equations, an introduction to functions, and graphing quadratic functions. Emphasis is placed on the algebraic techniques needed in order to successfully complete Math 1314 College Algebra. A departmental final examination must be passed with a score of 60% or higher in order to pass the course. Prerequisites: Math 0308 or Math 0108: Pass with "C" or better Or Suitable placement test score. Credit: 3 hours credit Course Intent & Audience: This course is intended for students who require state mandated remediation. It is the final course in the developmental mathematics sequence, and its purpose is to prepare students for College Algebra. Testing policy: 1 The format of the test will be multiple choices. Make-up policy: There’s no make up test. Grading policy: Your final course grade is based on the following standard HCC scale. FINAL AVERAGE FINAL COURSE GRADE 90 ≤ Average ≤ 100% A 80 ≤ Average < 90% B 70 ≤ Average < 80% C 60 ≤ Average < 70% D Average < 60% or F Final Exam Grade < 60 A grade of “IP” (In Progress) will not be given. If your final grade is a “D”, then you may be eligible to take the bridge course MATH 0112 instead of repeating the class. To determine eligibility, please contact the math department. A grade of “F” is given if the final average is below 60 or the final exam grade is below 60. Grading formula: 25% T1 + 25% T2 + 25% T3 + 25% FINAL EXAM = 100% Final Examination: The final examination is departmental and consists of 33 multiple-choice problems. The problems cover all the material required in the course. If you score lower than 60% on the final exam, you automatically are given a course grade of F, as noted under the grading policy. If your score on the final exam is 60% or higher, then your grades are averaged using the formula specified under grading policy. You MUST pass the final exam in order to pass the course. Calculators: NO GRAPHING CALCULATOR! You may use a scientific calculator at any time. You cannot use your cell phone, Ipod, or any electronic devices during all tests. Attendance policy: Attendance is checked during every class. The instructor may drop you for excessive absences. 2 Tardiness policy: Try to be on time to class. Make sure you sign in for attendance even though you are late. Withdrawal policy: If you decide to drop the class, then IT IS YOUR RESPONSIBILITY TO DROP before the final drop date. If your name is on the roll at the end of the term, you WILL receive a grade. Neither you nor your instructor will be able to perform the drop after the final drop date. In order to withdraw from your class and receive a “W” on your transcript, you MUST contact your professor or a counselor PRIOR to the withdrawal deadline. The Final Withdrawal Deadline is FRIDAY, JUNE 24TH at 12:00 pm. After the withdrawal deadline has passed, you will receive a grade. Zeros averaged in for required coursework that is not submitted will lower your semester average significantly, most likely resulting in a failing grade of “F”. Please refer to the following notice before dropping the class. NOTICE: Students who take a course three or more times will face significant tuition or fee increases at HCC and other Texas public colleges and universities. In addition, state law allows students a maximum of 6 course withdrawals during their entire college career. Students with more than 6 drops will be required to pay additional fees. Prior to course withdrawal, you must confer with your professor or counselor about your study habits, homework, test-taking skills, attendance, course participation, and tutoring or other assistance that is available. Student conduct: Students should not engage in disruptive activities while in the classroom. Any conduct that is deemed detrimental to the academic atmosphere, such as cell phone use or consistently talking during instructional delivery, will not be tolerated. Any student found guilty of such conduct will be asked to leave the classroom until further notice. Academic dishonesty: All students are required to exercise academic honesty in completion of all tests and assignments. Cheating involves deception for the purpose of violating testing rules. Students who improperly assist other students are just as guilty as students who receive assistance. A student guilty of a first offense will receive a grade of “F” on the quiz or test involved. For a second offense, the student will receive a grade of “F” for the course. The use of recording devices, including camera phones and tape recorders, is prohibited in all locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Disability Services Office for information. Resources and supplemental instruction: 3 Any student enrolled in Math 0312 at HCC has access to the math tutoring labs which are staffed with student assistants who can aid students with math problems and offer help with MyMathLab. In addition, free online tutoring is provided using Ask Online. With MyMathLab, the free Math Tutoring Center is also provided. For more information and for tutoring hours and locations, go to the math department web page at http://swc2.hccs.edu/math/, and select the tutoring link. Another helpful resource is the student solutions manual that may be obtained from the bookstore. Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Support Services Office at this college at the beginning of the semester. To make an appointment, please call 713-718-7910. Professors are authorized to provide only the accommodations requested by the Disability Support Office. Course Schedule: Chapters and Sections Approximate Time Chapter 2 Linear Equations, Inequalities, and Applications June 6 2.5 Linear Inequalities in One Variable Chapter 3 Graphs, Linear Equations, and Functions 3.1 The Rectangular Coordinate System June 6 ~ June 8 3.2 The Slope of a Line 3.3 Linear Equations in Two Variables 3.4 Linear Inequalities in Two Variables (Omit compound inequalities.) 3.5 Introduction to Functions Chapter 4 Systems of Linear Equations June 9 4.1 Systems of Linear Equations in Two Variables Chapter 5 Exponents, Polynomials, and Polynomial Functions June 9 ~ June 13 5.4 Multiplying Polynomials 5.5 Dividing Polynomials Chapter 6 6.1 6.2 6.3 6.4 6.5 Factoring June 14 ~ June 16 Greatest Common Factors; Factoring by Grouping Factoring Trinomials Special Factoring A General Approach to Factoring Solving Equations by Factoring 4 Chapter 7 Rational Expressions and Functions 7.1 7.2 7.3 7.4 7.5 June 20 ~ June 22 Rational Expressions and Functions; Multiplying and Dividing Adding and Subtracting Rational Expressions Complex Fractions Equations with Rational Expressions and Graphs (Omit graphs.) Applications of Rational Expressions Chapter 8 Roots, Radicals, and Root Functions June 23 ~ June 29 8.1 8.2 8.3 8.4 8.5 Radical Expressions and Graphs (Omit graphs and resonant frequency.) Rational Exponents (Include a review of exponents.) Simplifying Radical Expressions Adding and Subtracting Radical Expressions Multiplying & Dividing Radical Expressions (Omit rationalizing cube & 4th roots.) 8.7 Complex Numbers Chapter 9 Quadratic Equations, Inequalities, and Functions June 29 ~ July 5 9.1 The Square Root Property and Completing the Square 9.2 The Quadratic Formula Test Schedule: Test Chapters Covered on Test Date Test #1 Chapter 2, 3, 4, & 5 Tuesday, June 14th Test #2 Chapter 6 & 7 Thursday, June 23th Test #3 Chapter 8 & 9 Tuesday, July. 5th Final Exam Chapters 2 – 9 Thursday, July 7th 5:30 PM – 7:30 PM Important Dates: Last Day to Drop: FRIDAY, JUNE 24TH at 12:00 pm Holiday: (Independence Day) Monday, July 4th Course Objectives: 5 Upon completion of this course, a student should be able to perform the following mathematical skills: 1. multiply and divide polynomials. 2. factor polynomials. 3. add, subtract, multiply, and divide rational expressions. 4. simplify complex fractions. 5. solve equations involving rational expressions. 6. graph linear equations & linear inequalities in two variables. 7. find the slope of a line & its equation. 8. simplify rational exponents and radicals. 9. add, subtract, multiply, and divide expressions involving radicals. 10. add, subtract, multiply, and divide complex numbers. 11. solve quadratic equations by factoring, completing the square, using the quadratic formula, and using the square root property. 12. solve systems of linear equations in two variables. 13. solve word problems. 14. recognize functional notation and evaluate functions. 15. graph quadratic functions. THE SECTIONS LISTED ABOVE UNDER COURSE SCHEDULE MUST BE COVERED. The content of the following sections include material that is embedded in other sections of the course or that was covered in the previous math course or that will be studied in the next course MATH 1314. Based on this, the instructor may discuss the sections listed below if time permits: 2.1 Linear Equations in One Variable 2.2 Formulas 2.3 Applications of Linear Equations 2.7 Absolute Value Equations 5.1 Integer Exponents and Scientific Notation 7.6 Variation 9.6 More about Parabolas (omit horizontal parabolas and applications) 11.5 Second-Degree Inequalities (Example 1 only; omit systems of inequalities) 6