SOUTHWEST COLLEGE –STAFFORD CAMPUS Department of Mathematics INTERMEDIATE ALGEBRA Course Syllabus Math 0312, CRN #64397 MON, WED 9:30AM – 11:30AM Room: SW Learn Hub Rm 317 Fall 2013 INSTRUCTOR OFFICE HOUR CONTACT PHONE # EMAIL ADDRESS Ernest Nwachukwu MON, WED 8:00AM – 9:00AM (713) 718 7770 Ernest.Nwachukwu@hccs.edu My MathLab ID Nwachukwu64467 Attendance policy: Students are expected to attend classes regularly. If some special situation arises, which calls for your missing classes, then please keep me informed. If I am not notified and your absences exceed 12.5% of the number of classes, you will be administratively withdrawn immediately. Tardiness (lateness to class) policy: Every student is expected to be in class on time. If a student is late on the examination day, the student will not be given extra time. Withdrawal policy: Any student who is contemplating withdrawing from the class is encouraged to do so on or before the final day for withdrawal as specified in the class schedule. If a student withdraws after the final day for withdrawal from the class, the student will get either an “IP” or an “F” which ever that is applicable. Exam Policy: Cheating is not allowed in the examination. If a student is caught cheating in an examination, the student will lose all the marks for that examination. College policies on cheating will be enforced. These are clearly outlined in the HCCS Student Handbook. Make-up policy: There will be no make-up of any test. An exception to this can be allowed if there is a case of medical emergency and with a valid proof. There will be no make-up of the final examination. Grading policy: Each of the first three examinations is worth 20%; home work is 20%and the final examination is worth 40% of the final course grade. The final course grade (call it FCG) will be calculated using the formula:FCG = Average of the best five grades (final counting double). Letter grade will be assigned to the FCG. HCCS Course Outline — Intermediate Algebra Math 0312 Page 2 (Revised: January 5, 2005) Grade legend: 90% - 100% - A, 80% - 89% - B, 70% - 79% - C, 60% - 69% - D, below 60% - F. Final Examination : The final examination is departmental and consists of 33 multiple-choice problems. The problems cover only the material required in this course. BEGINNING OF SEMESTER ADVISEMENT Students are advised about the pre-requisites for the above class and how they are related to their major and the next class to take in mathematics. “Students who repeat a course for a third time or more may soon face significant tuition/fee increases at HCC and other Texas public colleges and universities. Please ask your instructor/counselor about opportunities for tutoring or other assistance prior to considering course withdrawal or if you are not receiving passing grades." END OF SEMESTER ADVISEMENT Students are advised on the future courses in mathematics and how they are related to their majors. All questions were answered. Catalog Description: Topics include factoring techniques, radicals, algebraic fractions, complex numbers, graphing linear equations and inequalities, quadratic equations, systems of equations, and an introduction to functions. Emphasis is placed on algebraic techniques, in order to successfully complete Math 1314 College Algebra. A departmental final examination must be passed with a score of 60% or more in order to pass this course. Prerequisites: ASSET: ASSET: Elementary Algebra Raw Score: 14–25 Scaled Score: 45 – 55 Intermediate Algebra Raw Score: 0–15, Scaled Score: 23–45 Math 0308: Pass with "C" or better Credit: 3 hours credit (3 Lecture), and 1 hr Lab Course Intent: This is the final course in the developmental mathematics sequence and its purpose is to prepare students for College Algebra. Audience: This course is for students who require state mandated remediation. HCCS Course Outline — Intermediate Algebra Math 0312 Page 3 (Revised: January 5, 2005) Student Learning Outcomes 1. Solve algebraic equations and inequalities involving rational expressions, radicals, quadratics, or linear expressions. Course Objectives 1.1 Add, subtract, multiply and divide polynomials 1.2 Factor polynomials 1.3 Add, subtract, multiply and divide rational expressions 1.4 Simplify complex fractions 1.5 Solving equations involving rational expressions 1.6 Simplify equations involving rational exponents and simplify radicals 1.7 Add, subtract, multiply, divide expressions involving radicals and solve radical equations 1.8 Add, subtract, multiply and divide complex numbers 1.9 Solve quadratic equations by factoring, completing the square, use of the quadratic formula and the square root property 1.10 Solve systems of linear equations in two variables 2. Examine and interpret the linear and quadratic graphs of equations and inequalities. 2.1 Graph linear equations & linear inequalities in two variables 2.2 Find the slope of a line & write its equation 2.3 Graph quadratic functions and inequalities 3. Solve application problems. 3.1 Solve word problems 4. Use and interpret function notation in both algebraic and graphical contexts. 4.1 Recognize functional notation & evaluate functions EGLS3 -- Evaluation for Greater Learning Student Survey System At Houston Community College, professors believe that thoughtful student feedback is necessary to improve teaching and learning. During a designated time, you will be asked to answer a short online survey of research-based questions related to instruction. The anonymous results of the survey will be made available to your professors and division chairs for continual improvement of instruction. Look for the survey as part of the Houston Community College Student System online near the end of the term. Prerequisites Must be placed into MATH 0312 (or higher) or completion of MATH 0308. HCCS Course Outline — Intermediate Algebra Math 0312 Page 4 (Revised: January 5, 2005) Textbook: Intermediate Algebra by Margaret L. Lial, John Hornsby, & Terry McGinnis; 11th Ed. Publisher: Addison Wesley, 2011 ISBN-13: 9780321715418 Course Outline: The lecture schedule contained in this outline is suggested for your usage. Instructors are free to modify the schedule to meet their needs. However, all the sections listed below must be covered. It is suggested that the even numbered problems be used as examples in class and allow the students to practice the odd numbered problems for homework. CONTENT Section Number Topics Chapter 2 Linear Equations, Inequalities, and Applications Topics to be covered include: linear inequalities in one variable. (Approximate Time) (2 hours) 2.5 Linear Inequalities in One Variable Chapter 3 Graphs, Linear Equations, and Functions (8 hours) Topics to be covered include: graphing lines in the coordinate plane, the slope of a line, equations of a line, linear inequalities and their graphs, relations and functions. 3.1 The Rectangular Coordinate System 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 (2 hours) Topics to be covered include: solving systems by graphing, elimination, and substitution methods. This unit only considers systems of linear equations in two variables. 4.1 Systems of Linear Equations in Two Variables Chapter 5 Exponents, Polynomials, and Polynomial Functions Topics to be covered include: multiplying and dividing polynomials. 5.4 Multiplying Polynomials 5.5 Dividing Polynomials Recommend Examination 1: Covers Chapters 2, 3, 4 and 5 (4 hours) (1.5 hours) HCCS Course Outline — Intermediate Algebra Math 0312 Page 5 (Revised: January 5, 2005) Chapter 6 Factoring (6 hours) Topics to be covered include: factoring out the GCF, factoring by grouping, special factoring, and a general approach to factoring. The unit concludes with solving equations by factoring. 6.1 Greatest Common Factors; Factoring by Grouping 6.2 Factoring Trinomials 6.3 Special Factoring 6.4 A General Approach to Factoring 6.5 Solving Equations by Factoring Solving Equations by Factoring Chapter 7 Rational Expressions and Functions (8 hours) Topics to be covered include: rational expressions and functions; multiplying, dividing, adding and subtracting rational expressions; complex fractions. The unit concludes with equations involving rational expressions and applications of rational expressions. 7.1 7.2 7.3 7.4 7.5 Rational Expressions and Functions; Multiplying and Dividing Adding and Subtracting Rational Expressions Complex Fractions Equations with Rational Expressions and Graphs Applications of Rational Expressions Recommend Examination 2: Covers Chapters 6 and 7 (1.5 hours) Chapter 8 Roots, Radicals, and Root Functions (8 hours) Topics to be covered include: Radical expressions and exponents; simplifying radical expressions; adding, subtracting, multiplying and dividing radical expressions. This unit concludes with complex numbers. 8.1 Radical Expressions and Graphs (Omit graphs of radical expressions.) 8.2 Rational Exponents (Include a review of the laws of exponents.) 8.3 Simplifying Radical Expressions 8.4 Adding and Subtracting Radical Expressions 8.5 Multiplying and Dividing Radical Expressions 8.7 Complex Numbers Chapter 9 Quadratic Equations, Inequalities, and Functions (3 hours) Topics to be covered include: solving quadratic equations by the square root property, completing the square, and the quadratic formula. 9.1 The Square Root Property and Completing the Square 9.2 The Quadratic Formula ______________________________________________________________________________ HCCS Course Outline — Intermediate Algebra Math 0312 Recommend Examination 3: Covers Chapters 8 and 9 Page 6 (Revised: January 5, 2005) (1.5 hours) Resource Materials: Any student enrolled in Math 0308 at HCC has access to the Learning Resource Center (LRC) where they may get additional help in understanding the theory or improving their skills. The LRC is staffed with mathematics faculty and student assistants, and offers tutorial help, videotapes and computer-assisted drills. Also available is a student solutions manual that may be obtained from the bookstore. Americans with Disabilities Act (ADA): Students needing accommodations due to a documented disability should contact the ADA counselor for their college as soon as possible. Identify all documented disabled students and insure them that your class will be structured to comply with their disabilities. It is recommended that you put a clause in your course syllabus that addresses the disabled student.