Course Syllabus MAC1140 – Pre-Calculus Algebra Reference Number: Credits: Term: 883617 3 Spring 2015 . 2015 - 2 January 05 to April 26 of 2016 Term Dates: All (homework & exams) will be closed 04/21/2016 at 06:00 PM. midTermExam is PROCTORED (Chapters 5 & 6) and need to be taken from 08:30 AM to 06:00 PM Monday though Thursday and from 08:30 AM to 01:00 PM on Fridays at a local or remote tested facility during: 03/08/2016 - 03/10/2016. It is 2 hours and 30 questions long. Go toVirtual College Testing Information for very important information about proctored testing. finalExam is comprehensive (chapters 7 - 10), it is NOT proctored and needs to be taken online (myMathLab) during: 04/22/2016 - 04/26/2016 from 08:00 AM to 05:00 PM . It is 2 hours and 30 questions long. Instructor Information Name: Dr. Manuel Caramés Ph.D, Associate Professor Senior of Mathematics & Physics • work hard from the first day Course Messages: of classes; • don't ask me questions whose answers are in this 1 Phone: Virtual Office Hours: document. I am your professor. I am not your secretary!! • email me, always, at "mcarames@mdc.edu" 305.237.10.13 M, W, F 07:00 PM - 08:00 PM T, R 04:45 PM - 05:50 PM You will receive the answer to all your questions in no later Response Policy: than 24 hours, given that you email me at my MDC email. Course Description This course is primarily designed for students who are majoring in areas that require one or more courses in the calculus sequence. The student will analyze and graph algebraic, exponential, logarithmic, piecewise-defined functions and conic sections. The student will solve polynomial, exponential and logarithmic equations, as well as systems of linear and nonlinear equations. The student will identify arithmetic and geometric sequences and series and solve related problems. The student will use the Binomial Theorem to expand polynomials and solve related problems. The student will use mathematical induction to prove statements regarding the properties of natural numbers. The student will solve applications and modeling problems related to the above topics. Miami Dade College's Learning Outcomes The competencies and objectives included in all my courses will address 2 Miami Dade College General Education outcomes, a set of 10 learning outcomes we expect graduatin The learning activities designed in this course will address outcomes 1, 2, 3, 4, 5, 6, 8, 9 & 10. Learning Communicate effectively using Outcome #1: listening, speaking, reading, and writing skills. This course requires reading and understanding the material covered in the textbook. Students will need to pay attention in class and may periodically be asked to explain a concept discussed in class. (Discussion participation in this course focuses on this Outcome.) Learning Use quantitative analytical Outcome #2: skills to evaluate and process numerical data. Students will have the opportunity to develop these skills in solving problems using concepts of linear, quadratic, and cubic regressions. (Module 1 in this course focuses on this Outcome.) Learning Solve problems using critical Outcome #3: and creative thinking and scientific reasoning. 3 Learning Outcome #4: Learning Outcome #5: Learning Outcome #6: Learning Outcome #7: Students will be given problems where various approaches to solving them will openly be discussed. (Module 3 in this course focuses on this Outcome.) Formulate strategies to locate, evaluate, and apply information. Students will be presented with “real world” problems wherein they will apply their analytical and quantitative skills. (Module 4 in this course focuses on this Outcome.) Demonstrate knowledge of diverse cultures, including global and historical perspectives. Problems involving the economies, populations and demographics of various countries will be analyzed and compared with those of the U.S. (Module 2 in this course focuses on this Outcome.) Create strategies that can be used to fulfill personal, civic, and social responsibilities Demonstrate knowledge of ethical thinking and its 4 application to issues in society. Learning Use computer and emerging Outcome #8: technologies effectively. Most homework assignments will be posted online on the Course Compass/My Math Lab website. Students will develop the ability to use these computer resources to keep up with their progress in the course and to help them reach a better understanding of the concepts, ideas and applications discussed in the course. They will also have the opportunity to use the external links posted on the website to explore topics related to the course goals and objectives. (Homework in mymathlab.com focuses on this Outcome.) Learning Demonstrate an appreciation Outcome #9: for aesthetics and creative activities. Learning Describe how natural systems Outcome #10: function and recognize the impact of humans on the environment Course Competencies Competency 1: The student will demonstrate knowledge of polynomia 5 Competency 2: Competency 3: Competency 4: Competency 5: Competency 6: Competency 7: rational and other algebraic functions, their properties their graphs by: Defining the functions. Identifying the domains and ranges of the functions. Graphing the functions and their transformations. Defining inverse functions. The student will demonstrate knowledge of polynomia rational inequalities by: Solving linear and nonlinear inequalities. Graphing linear and no linear I equalities. The student will demonstrate an knowledge of expone functions, their properties and their graphs by: Defining the exponential and logarithmic functions. Identifying the domains and ranges of logarithmic and functions. Graphing exponential and logarithmic functions and th Evaluating logarithmic expressions. Solving exponential and logarithmic equations. The student will demonstrate knowledge of piecewise Defining piecewise defined functions. Identifying the different conic sections. Graphing piecewise defined functions. The student will demonstrate knowledge of conic sect Identifying the different conic sections. Graphing the different conic sections. The student will demonstrate knowledge of matrices a Defining matrices and dimensions of matrices. Performing algebraic operations on matrices. Evaluating determinants. Solving linear systems using Cramer's Rule. The student will demonstrate knowledge of sequences Defining sequences and series (including arithmetic an Writing the aterm of sequences. 6 Finding the sum of series (including arithmetic and geo Competency 8: The student will demontrate knowledge of mathematical Proving that a given formual is true through the Principl Mathematical Induction. Competency 9: The student will demontrate knowlege of the Binomial Theo Expanding a binomial using the Binomial Theorem. Competency 10: The student will demonstrate knowledge of application Pre-Calculous by solving problems involving, but not limit following: Exponential and Logarithmic Growth and Decay Model Required Textbook and Materials MyMathLab Access Code, ISBN 9780321199911. This access code provides access to homework and thee-text. Course ID: carames95681 Supplemental Textbook and Materials Sullivan, M. (2012). Algebra & Trigonometry. 10e. Prentice-Hall: Boston. ISBN-13: 978-0-133-935585 (with access to MyMathLab). (Note that the ISBN for the above textbook without the access code is 9780134026671. You need the access code to successfully complete this course.) Please refer to the Textbook Informationpage at the Virtual College website for specific information on the College bookstores and procedures for ordering textbooks online. 7 Technology Requirements (Hardware/Software) Please refer to the LMS Requirements and Plug-in Information at the Virtual College website. Mozilla Firefox is the recommended browser and headsets / microphone are needed for participation in web-conferencing activities through Blackboard Collaborate; webcam is optional. In addition, Microsoft Office applications such as Word, Excel and PowerPoint are standard for Virtual College courses. Due to the necessity of technology in Virtual College Courses, you must have a backup plan for using an alternative computer with internet access in case of problems with your personal computer. If you live in the South Florida area, you may use the computer courtyards located on MDC campuses. If you have a technology problem that affects your ability to access your online course, please notify your instructor immediately. If you can access other internet sites but cannot access your online course, you need to contact the Virtual College Help Desk at 305.237.3800 to seek assistance. If you have no internet access at all, it is not a Virtual College / online course issue. Please be aware that the Virtual College's Help Desk does not cover problems that you may be experiencing with your computer hardware, installation of software, internet connection, or other technical problems that may require a technician or intervention from your Internet Service Provider. All homework assignments will be posted online on MyMathLab.com website. To log in to www.mymathlab.com/, you will need a course id, which carames95681 is and an access code, which you will need to purchase while registering. If you have technical problems with www.mymathlab.com/, you will need to contact their technical support and not the Virtual College. The website 8 for MyMathLab.com support is www.mymathlab.com/trainingsupport(see the Student Support area). Course Content: Chapters 3, 5, 6, 11, 12, 13 HW:20%; Grading: Exams:30%; midterm:25%; Final:25% Miami Dade College Policies Students' Rights and Responsibility Handbook This handbook provides you with the basic information you need to know review the Student's Rights and Responsibilities Handbookto learn about appeals, religious observations, services for students with special needs, Due to the nature of the online environment, the information below supplem Virtual College students. Academic Dishonesty Please carefully review the Academic Dishonesty policies in the Student's The Handbook identifies "cheating on an examination" as one of the actio In this course, you are expected to complete quizzes and exams independ online content or your own study notes. Having multiple browser windows readings, and using your course notes while taking a quiz or exam constit recorded by the Bb. system; activity logs during the times when you are ta access to other course components constitute evidence of cheating, and corresponding quiz or exam. You may have access to content in complete or any form of duplicating content in any assessment violates the integrit viewed as academic dishonesty and may result in a failing grade for the c another action identified as academic dishonesty in the Handbook. Presen one's own constitutes plagiarism, which is why students are always expe Through the use of Turnitin, unoriginal work can be easily identified; if not 9 plagiarism, and may result in a failing grade for the corresponding assignm Course Withdrawal After registering, students may change their schedules during the drop / a listed on the Academic Calendarthat may be found as a link on the Miami drop this course and you desire a full refund, you must do so before the la (see College Academic Calendar for date). If you stop logging on to class Registrar's Office, the instructor may withdraw you for nonattendance. If in the class and complete assignments, the instructor may withdraw you participate in classes may be dropped. For classes in the Virtual College, as discussions, assignments, etc. Simply entering a course (logging in) do Incomplete Grades An Incomplete is given only where extenuating circumstances exist, such the family, and is issued solely at the discretion of the instructor. If the in written agreement must be completed between the instructor and the stu completed, in what manner, and by when. Failure to fulfill the terms of the will result in an "F" for the course. A student may not remove an Incomple re-take the course. For more information on Incomplete grades, please re Student's Rights and Responsibilities Handbook. Hurricane and Other Natural DisastersIn the event of a hurricane or other disaster, the Virtual College follows the campus-based courses. Please visit the MDC website (http://www.mdc.edu) or situation updates. Assignments and due dates will be adjusted based upo However, if the College reopens and you are still without power or internet plan (MDC computer courtyards, labs and libraries; Miami-Dade County pu Please keep in touch with your instructor if at all possible. 10