School of Mathematics and Science

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1 CCBC Essex MATH 083/163 Intermediate Algebra/Col. Algebra Combined Section: E4X School of Mathematics and Science CLASSROOM LOCATION: E215 SEMESTER: Fall 2011 CLASS MEETING TIMES: MWF: 10:10-12:10 OFFICE HOURS: TR: 10:00-12:15, 2:30-3:00, W:12:30-3:00 INSTRUCTOR: D.TRUSZKOWSKI OFFICE LOCATION: C-TMP rm 113 DEPT./INSTRUCTOR PHONE: COURSE PRE-REQUISITES: MATH 082 or a satisfactory score on the math placement test, and RDNG 051 or LVR 1. COURSE DESCRIPTION: The topics include linear functions, general functions and relations, functional notation, operations of functions, linear and quadratic functions, solutions of quadratic and radical equations, complex numbers, rational expressions and equations, exponential and logarithmic functions, and conic sections. From College Algebra, topics include the study of polynomial, rational, radical, piece-wise defined, and absolute value functions and their graphs and applications as well as modeling with these functions. Additional topics include complex numbers, the binomial theorem, inverse functions, operations with functions, exponential and logarithmic functions and their graphs and applications RATIONALE: This course is the third of three developmental courses designed to prepare students with the mathematical background necessary for general education level mathematics, completing a base knowledge of algebra. This course also covers topics in College Algebra necessary to prepare the student for work in higher math courses such as PreCalculus. The course is 6 total credits, and will provide a grade for both Math 083 and Math 163. A student who successfully completes this course is eligible to enroll in a general education level mathematics course, chosen depending on the student's transfer plans, major, and/or career goals. This course is primarily designed for students looking to quickly jump into higher level math. This course is not recommended to a student who would struggle to complete Intermediate Algebra in a standard semester. TEXT (required): Algebra and Trigonometry Enhanced with Graphing Utilities Edition 5 Sullivan Hall, publisher (e-book option) Pearson/Prentice CHAPTERS Covered from Math 083 Intermediate Algebra with My Math Lab 5 th Edition; Martin-Gay Pearson- Addison Wesley (optional) Chapter 3: Graphs, Functions, and Linear Equations Chapter 5: Polynomials and Polynomial Functions Chapter 6: Rational Expressions, Equations, and Functions Chapter 7: Rational Exponents, Radicals, and Complex Numbers Chapter 8: Quadratic Functions and Equations Chapter 9: Exponential and Logarithmic Functions Chapter 10: Circles Although we will not be using the Intermediate Algebra book directly, these are the chapters and topics from that book that will be covered, directly or indirectly. You are not required to use this textbook for this class, as lessons I

2 construct will have plenty of examples, and I will provide you with various resources for each section. You have the option to use the book if you have it. An option for review of Intermediate Algebra materials is using the InterAct Math website. This site offers free access to various Pearson publications. Each book is broken down by chapter. Go the website and find the Math 083 book, Intermediate Algebra, 5 th Ed. by Martin-Gay. Each section has many practice questions with options for assistance. However, there are no practice tests/quizzes/etc to be taken. MATERIALS: A scientific or graphing calculator is recommended and may be used in class for homework, quizzes, and exams, as the instructor permits. The TI-89, TI-92, and any other calculator with computer algebraic capabilities are not permitted in Math 083. A scientific calculator is required, whereas a graphing calculator is recommended if the student plans on taking math courses such as Math 163 or Math 165 or higher. A TI-83 or TI-84 is recommended for this course. TENTATIVE LIST OF DATED ASSIGNMENTS (for 15-week course): Week: Sections (083 equivalent or similar content) WEEK Graphing Equations 1.2 (3.1) 1.3 Linear and Rational Equations (6.5, 6.6, 5.5, 5.6, 5.7) WEEK Quadratic Functions (7.1,3.2, 8.1, 8.2) Complex Numbers (7.7) Radical and Absolute Value Equations (7.4, 7.5, 7.6) Problems odd, odd (find the x and y intercepts only) Math 083 packet and 9 15 odd, 29, 31, 37, 39, 43, 57, 61, 65, 69 11, 15, 19, 23, 29, 31, 33, 35, 36, 39, 40, 45, 49, 53, 55, 63, 69, 73, 75, 77, 79 9, 11, 19, 21, 23, 27, 31, 53, 55, 57, 59, 63, 65 11, 12, 13, 15, 23, 27, 35, 43, 49, odd, 83 WEEK WEEK Problem Solving Solving Inequalities (2.5) Intercepts, Symmetry (3.3, 3.4) Functions (9.1, 3.2) Composite Functions (9.1) The Graph of a Function 7-15odd, odd 11-15odd, 21-35odd, every other odd (e.o.o.) 21, 23, 29-41odd, odd odd, 39, 41, 51, 55, 57, 61, , odd 9-23 odd WEEK Properties of Functions odd, 33, 35, 53, 55

3 WEEK Lines (3.5) Linear Functions and Properties (REVIEW) 11, 15, 23, 27, 29, 37, 45, 49, 59, 67, 71, odd (3.3) Building Linear Models 17, 19, 21, 22 Quadratic Functions (8.5,8.6) 11-18, odd, 43, 45, 49, 83 WEEK Library of Functions, Piecewise (3.6) Graphing Transformations (3.6) Polynomial Functions and Models (5.8) 9-16, odd, , odd, odd, 69, odd, odd, e.o.o. (steps 1-3 only) 13.5 Binomial Thrm odd WEEK 8 R.4 Polynomials 89, 93, 97 (5.3, 5.4) R.6 Synthetic Division 5-19 odd (6.4) 5.5 Real Zeroes of a Polynomial (5.8,8.2) odd, odd WEEK WEEK Complex Zeroes, Fund. Thm. Of Algebra (7.7) Polynomials of Rational Functions (6.1,6.2,6.5,6.6) The Graph of a Rational Function Polynomial and Rational Inequalities 7-27 odd, 31, odd, odd 7-25 odd odd, odd WEEK WEEK WEEK One-to-One Functions, Inverse Functions (9.2) Exponential Functions (9.3) Logarithmic Functions (9.4) Properties of Logarithms (9.5) Logarithmic and Exponential Equations and Models (7.2,9.7) 9-51 odd odd, 29-36, 61, 63, 66, 77, 95, 97, odd, 83, 85, odd, 117, odd, 17, 21 9, 35, 37, odd

4 Circles (10.1) Packet Math 083 Week 14 Test #3 Study for Final exam FINAL EXAM *Friday 12/9Math 083 Final (during class) *Monday 12/12 Review for 163 final(10:00-12:00) *Wednesday 12/14 Math 163 Final REQUIREMENTS: Quizzes: There will be six quizzes during the semester, each worth 40 points towards your Math 083 grade and 40 points towards your Math 163 grade, for a total of 200 points for EACH CLASS. All quizzes will be given in class. There are NO make-up quizzes. If you miss a quiz for any reason, you will receive a zero! I will drop your lowest quiz grade to compensate for this policy. Total points: 200 points for your Math 083 grade. 200 points for your Math 163 grade. Tests: You will take 3 tests during the semester, each worth 100 points for Math 083 and 100 points towards Math 163. If you miss a test, you will have to contact me PRIOR to the start of class and documentation WILL be NEEDED. Total points: 300 points for Math points for Math 163 Homework: In order to be successful in these two classes you MUST keep up and COMPLETE ALL homework. Homework will be collected 2 or 3 times during the semester. I will collect ALL homework up to that point. Total points: 45 points for Math points for Math 163 GREAT project: This project is a take home project that you will be given 1 week to complete. It will be given out approximately during the 10 th or 11 th week of class. Instructions will be provided. Total points: 40 points for Math 163 Participation/Attendance: In order to be successful in these two classes, you will NEED to attend ALL classes. Being in class is ESSENTIAL!! 5 points will be subtracted after the first absence. Total points: 25 points for Math 083

5 Final: 240 points for Math points for Math 163 The Math 083 final will be given on the last day of classes. The first final exam period will then be a review session for Math 163. The second final exam period will be the Math 163 final. Overall Total: 810 points for Math points for Math 163 GRADING POLICY: If your course average is: Your grade is: At least 90% A At least 80% but less than 90% B At least 70% but less than 80% C At least 60% but less than 70% D (163 portion) Less than 70% (083 portion) F There will be two finals for this course, for Math 083 and Math 163. They will be given the last week of classes (083) and during finals week (163). Due to the lack of a D grade in 083, you cannot pass the College Algebra portion while not passing the Intermediate Algebra half of the class ATTENDANCE POLICY FOR THIS COURSE: You are expected to attend all scheduled classes. Should you miss a class, you are responsible for all work missed. Please be on time. Students with a legitimate problem about attendance should discuss the situation with their instructor. CALENDAR SPRING 2011 FULL Term 1 st 7-Week 2 nd 7-Week Session Session Classes BEGIN January 31 January 31 March 21 Saturday Classes BEGIN February 5 50% refund ends February 18 February 11 March 29 Mid-Term grades March 21 February 23 April 8 SPRING RECESS (COLLEGE CLOSED) April Saturday-Monday April Saturday-Monday COLLEGE REOPENS CLASSES RESUME April 26 - Tuesday April 26 - Tuesday Last day to withdraw with W or change to April 11 March 4 April 15 audit AU Last day of classes May 14 March 19 May 14 Final Exams May Last class day Last class day Final Grades entered by 10:00 a.m. May 24 March 22 May 24 Last day to complete I grade October 7 October 7 October 7 FINAL EXAM DATE: *Friday 12/9Math 083 Final (during class) *Monday 12/12 Review for 163 final(10:00-12:00) *Wednesday 12/14 Math 163 Final

6 COURSE OBJECTIVES Students will be able to: A. identify functions and use function notation B. determine the domain and range of a function C. factor, add, subtract, multiply, and divide functions D. graph linear, quadratic, exponential and logarithmic functions E. solve quadratic equations by 1) factoring, 2) completing the square, 3) the quadratic formula, and 4) graphing the function F. solve applications of quadratic equations G. perform operations on radical expressions H. perform operations on complex numbers I. solve radical equations J. simplify, factor, add, subtract, multiply, and divide rational expressions K. solve rational equations L. determine the domain and range of exponential and logarithmic function M. recognize and graph conic sections MAJOR TOPICS I. Functions and Relations A. Introduce function notation B. Identify the domain and range of a function C. Perform operations on functions II. Quadratic Functions A. Graph quadratic functions, identifying domain and range and using function notation B. Solve quadratic equations using the square root method, factoring, completing the square and the quadratic formula C. Perform operations on complex numbers D. Solve quadratic equations (including equations with complex number roots) E. Use optimization and simulation methods F. Solve radical equations III. Polynomial, Radical, and Rational Functions and Equations A. Perform operations on polynomial expressions and factor B. Graph power and polynomial functions, identifying domain and range and using function notation C. Simplify radicals and expressions with rational exponents D. Perform operations on rational expressions E. Solve rational equations IV. Exponential and Logarithmic Functions and Equations A. Graph exponential functions, identifying domain and range and using function notation B. Graph logarithmic functions, identifying domain and range and using function notation C. Evaluate exponential and logarithmic functions V. Conic Sections A. Graphs parabolas and circles B. Write equation of parabolas and circles FOR ALL COLLEGE WIDE SYLLABUS POLICES GO TO MyCCBC on the CCBC web page and view the SYLLABUS TAB.

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