Azusa Pacific University College of Liberal Arts and Sciences Department of Mathematics and Physics MATH 110 section 11 College Algebra 3 units MWF 1:00-1:55 pm Mary Hill 227 Instructor: Dr. Sharon McCathern Phone: (626) 815-6000 x6617 E-mail: smccathern@apu.edu Emergency: (626) 815-6470 (department office) Office: Segerstrom 116 Office Hours: Monday, Wednesday 10:30-11:00 am, Monday, Wednesday, Friday 2:10-3:05 pm, Tuesday 1:30-2:30 pm, or by appointment Azusa Pacific University Mission Statement: Azusa Pacific University is an evangelical Christian community of disciples and scholars who seek to advance the work of God in the world through academic excellence in liberal arts and professional programs of higher education that encourage students to develop a Christian perspective of truth and life. Department Mission Statement: The Department of Mathematics and Physics at Azusa Pacific University: 1) offers undergraduate degree programs in mathematics and physics, a single-subject waiver for a teaching credential in mathematics, and a pre-degree engineering program; 2) provides general education mathematics and science courses consistent with the outcomes of a liberal arts education; and 3) prepares students for graduate study or success in their chosen careers. Disability statement: Any student in this course with a disability preventing a full demonstration of the student s abilities should notify the instructor and meet with an advisor in the Learning Enrichment Center at the beginning of the semester. Course Description This course is a study of basic college algebra, including polynomial and rational functions, inverse functions, the Fundamental Theorem of Algebra, exponential and logarithmic functions and equations, advanced graphical procedures and interpretations, linear and nonlinear systems of equations, matrix representations of systems of equations, and introductory concepts in sequence, series, and probability as time permits. Meets the general studies requirement in University Skills. Course Credit MATH 110 carries 3 units. This course meets the general studies requirement in University Skills.
Prerequisite Students meet the prerequisite for MATH 110 by satisfying one of the following: 1) Receive a passing grade in MATH 095 (Intermediate Algebra); 2) Successfully complete a transfer college course equivalent to MATH 095 or 096; or 3) Obtain an appropriate score on the SAT/ACT mathematics exam; or 3) Obtain an appropriate score on the Azusa Pacific University mathematics placement test administered by the Learning Enrichment Center. Text College Algebra; 4 th edition. J. A. Beecher, J. A. Penna, M. L. Bittinger. Addison Wesley, 2012 ISBN-10: 0-321-63939-1. Also required is a MyMathLab access code, available at the bookstore or at www.pearsonmylab.com. Material from Chapters R - 8 will be covered. The Role of College Algebra (MATH 110) This course represents the standard approach to college algebra that is prevalent in universities nationwide. The basic objective of College Algebra is to provide a comprehensive and sound foundation in topics widely recognized as essential to modern treatments of college algebra. For many students, College Algebra provides the mathematical basis from which they will make analytic and quantitative analyses in disciplines of their choice. Details of Mathematical Topics Developed in MATH 110 Functions and Graphs 2-D Coordinate Systems, Functions, Linear and Quadratic Functions, Properties of Graphs, Algebra of Functions, Inverse Functions, Variation and Applications Polynomial and Rational Functions Polynomial and Synthetic Division, Polynomial Functions, Zeros of Polynomial Functions, Fundamental Theorem of Algebra, Rational Functions Exponential and Logarithmic Functions Exponential Functions and Graphs, Logarithms, Logarithmic Functions and Graphs, Exponential and Logarithmic Equations, Applications Systems of Equations Linear Systems in Two or More Variables, Nonlinear Systems of Equations, Systems of Inequalities, Linear Programming Probability Permutations and Combinations, Introduction to Probability, Sequence, and Series (if time permits) Conic Sections and Analytical Geometry Parabolas, Ellipses, and Hyperbolas, Graphical Representation of Conics Matrices Matrix representation of systems of equations, the algebra of matrices, solving systems of equations with matrices 2
Course Objective/Desired Student Outcomes The primary student objective of this course is to ensure students have the specific mathematical and analytical skills consistent with standard College Algebra level expectations. These overall objectives should be accomplished when the following student outcomes are met. The student will obtain the specific mathematical and analytic skills consistent with standard college algebra-level expectations The student will acquire the foundational mathematical skills prerequisite to Precalculus (Math 150) and Applied Calculus (Math 151) The student will be able to articulate appropriate strategies for solving college algebra-level problems The student will apply problem-solving strategies toward college algebra math constructs The student will master specific algebraic skills including linear equations and functions, quadratic equations and functions, inequalities, polynomial and rational functions, systems of equations The student will articulate how their faith interacts with their understanding of mathematical principles Alignment The following table details how the student learning outcomes listed earlier align with the curriculum and the IDEA objectives used to assess the course. Student Learning Outcome Obtain the specific mathematical and analytic skills consistent with standard college algebra-level expectations Acquire the foundational mathematical skills prerequisite to Precalculus (Math 150) and Applied Calculus (Math 151) Articulate appropriate strategies for solving college algebra-level problems Apply problem-solving strategies toward college algebra math constructs Master specific algebraic skills including linear equations and functions, quadratic equations and functions, inequalities, polynomial and rational functions, systems of equations Articulate how their faith interacts with their understanding of mathematical principles IDEA Objective o Gaining factual knowledge o Learning fundamental principles and theories o Developing specific skills needed by professionals in the field o Gaining factual knowledge o Learning fundamental principles and theories o Gaining factual knowledge o Learning fundamental principles and theories o Developing specific skills needed by professionals in the field o Developing specific skills needed by professionals in the field o Developing a clearer understanding of, and commitment to, personal values Assignments Used to Assess o Homework o zes o Exams o zes o Exams o In-class discussions o Homework o zes o Exams o Chapter 2-5 o Emails o In-class discussions 3
Classroom Conduct Please treat me and your fellow students with respect and civility. In particular: Please turn off and put away cell phones when entering class no texting either! If you have a particular emergency situation and need to leave your phone on to receive a call or text, please let me know before class and sit near the door so you can leave the room if you need to communicate. You may not use computers during class, unless I specifically give permission. Facebook can wait 55 minutes. Please refrain from talking during my presentations or those of your fellow students, unless you are asking a question or participating in a discussion related to the class material under consideration. Note that if you have a question about something, somebody else probably does too so speak up, don t just whisper to the person next to you. If you don t intend to pay attention and participate, please don t come to class. There are more comfortable places for you to nap. Calculator Use Scientific calculators will be helpful on many homework problems. (Your computer probably has a scientific calculator in its software package; it s fine to use that.) Calculators will be permitted on some exams and quizzes, but not all. Calculator policy for each exam will be announced in advance. However, NO GRAPHING CALCUATORS will be permitted on any exam or quiz. You can purchase a scientific calculator for around $10-15 at Target, Wal-Mart, or many drugstores and supermarkets, or you can find a friend to borrow one from. NO CELL PHONE OR COMPUTER CALCULATORS will be permitted on quizzes or exams the calculator must be stand-alone. Homework Homework will be administered via MyMathLab, an interactive website. This will allow you to study more efficiently and get help when you need it. (Please see the last page for MyMathLab instructions.) You are allowed multiple attempts at each problem with online assistance. It is entirely possible (and expected) that every homework score will be 100%. Homework will be checked and evaluated, but will not count toward your final grade (except in borderline cases). Note that satisfactory completion of homework is highly correlated to success in this class. An added bonus: If you score 100% on your homework in a given week, your quiz score that week will be changed to 100%, provided you take the quiz (see next paragraph). Note that this does not apply to exams. zes There will be weekly short quizzes that will be administered via MyMathLab (two attempts each) or in class (some will be collaborative group quizzes). The problems on the quizzes will be similar (if not identical) to the homework exercises. No make-up quizzes will be given, but the lowest quiz score will be dropped. Exams There will be two exams (Wednesday, October 5 and Friday, November 18) and one final (Wednesday, December 14 at 12:15 pm). These are in-class written tests. The final must be taken in order to pass the class. No make-up exams will be given. 4
Faith Integration Throughout the semester, you will be required to submit written reactions to various topics via email to your instructor. ALTHOUGH THESE ARE EMAILS, PLEASE USE STANDARD WRITTEN ENGLISH, not informal English or text-speak. I will read selections from some of the emails in class, and a discussion will follow. You will be graded both on your emails and your participation in the discussions. Attendance and Participation Class attendance and participation will figure into resolving borderline grades. Grading zes 15% Exam 1 20% Exam 2 20% Final Exam 40% (20% + 20%) Faith Integration 5% The lowest 20% grade will be dropped, and replaced with the average of the other three. Grading Criteria GRADE LEVEL DESCRIPTION A B C D F Outstanding Above Average Average Below Average Not Acceptable Above and beyond the requirements of the assignment; outstanding effort, significant achievement, and personal improvement are clearly evident. Some measure of remarkable skill, creativity, or energy is also evident. Fulfills all aspects of the assignment and goes a bit beyond minimum competence to demonstrate extra effort, extra achievement, or extra improvement. Fulfills all aspects of the assignment with obvious competence. Assignments are completed exactly as assigned. Below average either because some aspect of the assignment has not been fulfilled or there are indications of a failure to follow directions, failure to follow specific recommendations, or failure to demonstrate personal effort and improvement. Not acceptable, either because the assignment was not completed as directed or because the level of performance s below and acceptable level for college work. Grading Scale The following is a guide to the computation of your course grade. It is based on a 4.0 scale. 4.0 A 3.0 B 2.0 C 1.0 D 3.7 A- 2.7 B- 1.7 C- 0.7 D- 3.3 B+ 2.3 C+ 1.3 D+ 0.0 F 5
Available Supplemental Resources Students in MATH 110 are encouraged to use available resources in addition to the classroom time. These resources include: 1) individual appointments or office hour drop-ins with the instructor; 2) appointments at LEC with student tutors; 3) drop in tutoring at the Math Center 2-8pm (Segerstrom 170 M /Tu/Th, ADMD2 Wed); 4) a complete College Algebra video and CD-ROM series; and 5) lots of videos on YouTube explaining and demonstrating mathematical concepts Bibliography Aufmann, Richard N., et al. College Algebra, 5 th ed. Houghton Mifflin, 2004. Lial, Margaret L, et al. College Algebra, 9 th ed. Addison Wesley, 2005. Nickel, James. Mathematics: Is God Silent? Vallecito: Ross House Books, 2001. Academic Integrity Policy The mission of Azusa Pacific University includes cultivating in each student not only the academic skills that are required for a university degree, but also the characteristics of academic integrity that are integral to a sound Christian education. It is therefore part of the mission of the university to nurture in each student a sense of moral responsibility consistent with the biblical teachings of honesty and accountability. Furthermore, a breach of academic integrity is viewed not merely as a private matter between the student and an instructor but rather as an act which is fundamentally inconsistent with the purpose and mission of the entire university. A complete copy of the Academic Integrity Policy is available in the Office of Student Life, the Office of the Vice Provost for Undergraduate Programs, and online. Expectations for this course regarding academic integrity in this class are consistent with those outlined in the academic integrity policy. In particular, you may work together on homework, but not on quizzes or exams (unless the quiz is an in-class group quiz). Although you are working together, each student must submit homework individually in MyMathLab. Consequences for violations of academic integrity in this class are consistent with those outlined in the academic integrity policy. University Policy All university policies affecting student work, appeals, and grievances, as outlined in the Undergraduate Catalog will apply. 6
Course Calendar (subject to change!) Monday Tuesday Wednesday Thursday Friday SEPTEMBER 5 6 7 8 9 Classes begin Email 1 Due 12 13 14 15 16 19 20 21 22 23 Add/Drop deadline 26 27 28 29 30 OCTOBER 3 4 5 EXAM 1 6 7 10 11 12 Study Day (no class meeting) 13 14 17 18 19 20 21 24 25 26 27 28 31 NOVEMBER 1 2 3 4 7 8 9 10 11 Withdraw deadline 14 15 16 17 18 EXAM 2 21 22 23 24 25 Thanksgiving Vacation 28 29 30 DECEMBER 1 2 5 6 7 8 9 12 13 14 FINAL EXAM 12:15-2:15 pm 15 16 7
Course Topics Schedule (subject to change!) Lecture Day Date Sec Title Page 1 Wed Sep 7 R Course Intro, Review 1-56 2 Fri Sep 9 1 Chapter 1 Review, MyMathLab introduction 59-154 3 Mon Sep 12 2.1 Piecewise Functions, Increasing/Decreasing Fns 158 4 Wed Sep 14 2.2, 2.3 Combining Functions 171, 179 5 Fri Sep 16 2.4 Symmetry, Transforming Functions 189 6 Mon Sep 19 2.5 Variation and Applications 211 7 Wed Sep 21 3.2 Quadratic Equations 241 8 Fri Sep 23 3.1 Complex Numbers 234 9 Mon Sep 26 3.3 Graphs of Quadratic Functions 257 10 Wed Sep 28 3.4 Rational and Radical Equations 272 11 Fri Sep 30 3.5 Equations and Inequalities with Absolute Value 280 12 Mon Oct 3 Review and Catch Up 13 Wed Oct 5 Exam 1 14 Fri Oct 7 4.1, 4.2 Polynomial Functions and Their Graphs 295, 309 15 Mon Oct 10 4.3 Polynomial Division, Remainder/Factor Theorems 320 16 Fri Oct 14 4.4 Zeros of Polynomials 330 17 Mon Oct 17 4.5 Rational Functions 340 18 Wed Oct 19 4.6 Polynomial and Rational Inequalities 360 19 Fri Oct 21 5.1 Inverse Functions 388 20 Mon Oct 24 5.2 Exponential Functions 400 21 Wed Oct 26 5.3 Logarithmic Functions 413 22 Fri Oct 28 5.4 Properties of Logarithms 430 23 Mon Oct 31 5.5 Solving Exponential and Logarithmic Equations 439 24 Wed Nov 2 5.6 Applications 450 25 Fri Nov 4 More Applications 26 Mon Nov 7 6.1, 6.2 Systems of Equations in 2 and 3 Variables 478, 494 27 Wed Nov 9 More Systems of Equations 28 Fri Nov 11 6.3 Matrices and Systems of Equations 504 29 Mon Nov 14 6.7 Linear Programming 540 30 Wed Nov 16 Review and Catch up 31 Fri Nov 18 Exam 2 32 Mon Nov 21 7.1, 7.2 The Parabola, the Circle, and The Ellipse 572, 580 33 Wed Nov 23 7.3 The Hyperbola 592 34 Mon Nov 28 7.4 Nonlinear Systems of Equations 602 35 Wed Nov 30 Catch-up or Topics from Chapter 8 36 Fri Dec 2 Catch-up or Topics from Chapter 8 37 Mon Dec 5 Catch-up or Topics from Chapter 8 38 Wed Dec 7 Review 39 Fri Dec 9 Review 8
MyMathLab Welcome Azusa Pacific University Students! MyMathLab is an interactive website where you can: Self-test & work through practice exercises with step-by-step help to improve your math skills. Study more efficiently with a personalized study plan and exercises that match your book. Get help when YOU need it. MyMathLab includes multimedia learning aids, videos, animations, and live tutorial help. Before You Begin: To register for MyMathLab, you need: A MyMathLab student access code (packaged with your new text, standalone at your bookstore, or available for purchase with a major credit card at www.pearsonmylab.com) Your instructors Course ID: A valid email address Student Registration: Enter www.pearsonmylab.com in your web browser. Under Register, click Student. Enter your Course ID exactly as provided by your instructor and click Continue. Your course information appears on the next page. If it does not look correct, contact your instructor to verify the Course ID. Sign in or follow the instructions to create an account. Use an email address that you check and, if possible, use that same email address for your username. Read and accept the License Agreement and Privacy Policy. Click Access Code. Enter your Access Code in the boxes and click Next. If you do not have an access code and want to pay by credit card or PayPal, select the access level you want and follow the instructions. You can also get temporary access without payment for 17 days.. Once your registration is complete, a Confirmation page appears. You will also receive this information by email. Make sure you print the Confirmation page as your receipt. Remember to write down your username and password. You are now ready to access your resources! Signing In: Go to www.pearsonmylab.com and click Sign in. Enter your username and password and click Sign In. On the left, click the name of your course. The first time you enter your course from your own computer and anytime you use a new computer, click the Installation Wizard or Browser Check on the Announcements page. After completing the installation process and closing the wizard, you will be on your course home page and ready to explore your MyMathLab resources! Need help? Contact Product Support at http://www.mymathlab.com/student-support for live CHAT, email, or phone support. 2011 9