Azusa Pacific University College of Liberal Arts and Sciences Department of Mathematics and Physics MATH 110 section 12 College Algebra 3 units MWF 3:15-4:10 Segerstrom 175 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, Friday 2:05-3:05 pm (drop-in) Thursday 9:30-11:45 am (by appointment only) Website: www.apu.edu/~smccathern 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. Following the APU Credit Hour policy, to meet the identified student learning outcomes of this course, the expectations are that this 3 unit course, delivered over a 15 week term will consist of approximately 3 hours/week classroom or direct faculty instruction. In addition, out-of-class student work will approximate a minimum of 6 hours each week.
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. A MyMathLab access code is required, available at the bookstore or at www.pearsonmylab.com. With a paid code, you may access the e-text online (through MyMathLab), so there is no need to purchase a hard copy. However, you may buy a hard copy in addition to the code, if you prefer. 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 and Graphs, 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 (if time permits) 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. Students should learn to identify mathematical concepts and solve problems involving the topics listed above. The student learning outcomes for this course support University SLO 4 (Achieve quantitative, technical, linguistic and information literacy) and General Studies SLO 1 (Demonstrate skills in quantitative analysis). Alignment The following table details how the student learning outcomes for this course align with the curriculum and the IDEA objectives used to assess the course. Student Learning Outcome The student will be able to perform computations consistent with standard college algebra-level expectations The student will display 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 be able to apply problemsolving strategies toward college algebra math constructs The student will 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 a clearer understanding of, and commitment to, personal values Assignments Used to Assess o Homework o Quizzes o Exams o Quizzes o Exams o In-class discussions o Homework o Quizzes o Exams o Faith Integration Discussions and Written Responses o Gini Coefficient project Classroom Conduct Please treat me and your fellow students with respect and civility. In particular: Please silence 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 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. 3
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 most 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 (see last page). This will allow you to study more efficiently and get help when you need it. There will be homework due most class days. You are allowed multiple attempts at each problem with online assistance. It is entirely possible (and expected) that every homework score will be 100%. Note that satisfactory completion of homework is highly correlated to success in this class. No late homework will be accepted, but the lowest 4 homework scores will be dropped. Quizzes There will be frequent short quizzes that will be administered in class. The problems on the quizzes will be similar or identical to the homework exercises. No make-up quizzes will be given, but the lowest 2 quiz scores will be dropped. Exams There will be three in-class exams (Monday 10/1, Friday 10/26, and Friday 11/16) and one cumulative final (Monday, Dec. 10, 9:45-11:45 a.m.) These are in-class written tests. The final must be taken in order to pass the class. No make-up exams will be given. The lowest of your four exam grades will be dropped. Faith Integration There will be in-class discussions and assigned short written responses throughout the semester, as well as a project on the Gini coefficient, which will lead you to consider the relationship between the Christian faith and the methods and ideas of mathematics. Attendance and Participation Class attendance and participation will figure into resolving borderline grades. Grading Quizzes 15% Homework 20% Exam 1 20% Exam 2 20% Exam 3 20% Final Exam (comprehensive) 20% Faith Integration 5% The lowest midterm exam (including final) grade will be dropped. The lowest two quiz grades and lowest four homework grades will be dropped. 4
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 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 the LEC with student tutors; 3) drop in tutoring at the Math Center, open 2-8pm (Segerstrom 170 M /Tu/Th, ADMD2 Wed); 4) as many practice problems and diagnostic self-tests as you want via MyMathLab; and 5) lots of videos on YouTube explaining and demonstrating mathematical concepts (try www.khanacademy.org for starters) 5
Information Literacy Information literacy is defined as a set of abilities requiring individuals to recognize when information is needed and have the ability to locate, evaluate, and use effectively the needed information (American Library Association, 1989). In this course, teaching and learning processes will employ the following information literacy standards, as endorsed by the American Association for Higher Education (1999), the Association of College and Research Libraries (2000), and the Council of Independent Colleges (2004). The students in this course will: Access needed information effectively and efficiently Individually or as a member of a group, use information effectively to accomplish a specific purpose This course will include homework assignments and a project requiring students to find and use information from the online e-book as well as other data available online. No use of the library will be required. Bibliography (possibly helpful books, but not required) 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 you are told to work in groups). Although you are working together, each student must submit homework individually in MyMathLab. Plagiarism on the paper will absolutely not be tolerated. 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! Exam dates are tentative!) Monday Tuesday Wednesday Thursday Friday Sept 3 4 5 6 7 Classes Begin 10 11 12 13 14 Add/Drop Deadline 17 18 19 20 21 24 25 26 27 28 Oct 1 2 3 4 5 EXAM 1 8 9 10 11 12 Study Day-No Class 15 16 17 18 19 22 23 24 25 26 EXAM 2 29 30 31 Nov 1 2 5 6 7 8 9 Withdraw Deadline 12 13 14 15 16 EXAM 3 19 20 21 22 23 Thanksgiving Holiday 26 27 28 29 30 Dec 3 4 5 6 7 10 FINAL EXAM 12:15-2:15 p.m. 11 12 13 14 7
Course Topics Schedule (subject to change!) Day Date Sec Topic Page Wed Sep 5 Syllabus, Introduction Fri Sep 7 Ch. R/1 Pretest and review 1-154 Mon Sep 10 2.1-2.3 Functions, graphs, and composition 179 Wed Sep 12 2.4 Symmetry, Transforming Functions 189 Fri Sep 14 Application the Gini Coefficient (*add/drop deadline) Mon Sep 17 3.1, 3.2 Quadratic Equations and Complex Numbers 234, 241 Wed Sep 19 3.3 Completing the Square, Graphs of Quadratic Fns. 257 Fri Sep 21 4.1, 4.2 Polynomial Functions and Graphs 295, 309 Mon Sep 24 4.3, 4.4 Polynomial Division, Zeros of Polynomials 320, 330 Wed Sep 26 4.4 Zeros of Polynomials continued 330 Fri Sep 28 Catch-up/Review, Gini Worksheet DUE Mon Oct 1 Exam 1 (through section 4.4) Wed Oct 3 4.5, 3.4 Rational Functions and Equations 340 Fri Oct 5 4.6 Polynomial and Rational Inequalities 360 Mon Oct 8 5.1 Inverse Functions 388 Wed Oct 10 Study Day no class Fri Oct 12 5.2 Exponential Functions and their Properties 400 Mon Oct 15 5.3, 5.4 Logarithmic Functions and their Properties 413, 430 Wed Oct 17 5.4, 5.5 Solving Equations with Logs and Exponents 430, 439 Fri Oct 19 5.6 Applications of Logs and Exponents 450 Mon Oct 22 5.6 More Applications Wed Oct 24 Catch-up/Review Fri Oct 26 Exam 2 (sections 4.5 through 5.6) Mon Oct 29 6.1,6.2 Solving Systems of Linear Equations 478, 494 Wed Oct 31 6.1-6.3 More Systems of Equations, Matrices 504 Fri Nov 2 6.7 Linear Inequalities and Systems of Inequalities 540 Mon Nov 5 6.7 Linear Programming Wed Nov 7 7.1-7.3 Conic Sections 572, 580, 592 Fri Nov 9 7.1-7.3 More Conics Mon Nov 12 7.4 Systems of Nonlinear Equations 602 Wed Nov 14 Catch-up/Review Fri Nov 16 Exam 3 (chapters 6 and 7) Mon Nov 19 8.1 Sequences and Series 624 Wed Nov 21 In-class Discussion/Project Mon Nov 26 8.2 Algebraic Sequences 632 Wed Nov 28 8.3 Geometric Sequences 641 Fri Nov 30 8.5 Counting, Permutations 659 Mon Dec 3 8.8 Probability 683 Wed Dec 5 Catch-up/Review Fri Dec 7 Catch-up/Review Mon Dec 10 FINAL EXAM (12:15-2:15) 8