MAT 113 College Algebra Syllabus

MAT 113 College Algebra Syllabus Instructor: Sarah Sewell Office: Humanities 122 E-mail: ssewell@chesapeake.edu Phone: 410-822-5400 ext. 2296 Fax: 410-827-5814 Attn: Sarah Sewell Office Hours Mon/Wed: 10am 11:15am in HUM 122 Tues/Thurs: 9-9:45am & 1:30-2:15pm in HUM 122 Materials you will need Textbook College Algebra Essentials by Robert Blitzer. 3 rd ed. Prentice Hall. 2010 ISBN # 0-321-57781-0037 Online Component MyMathLab (MML) is an online homework program and is a required component of the course. An access code for this online program can be purchased either separately or packaged with the textbook at the bookstore. Use the Course ID found on Angel and the college s zip code 21679 when registering. The MML Registration Tutorial can be found at: http://pearsonmylabandmastering.com/students/tour or you can find registration information on our course page on Angel. Calculator A scientific calculator will be necessary for this course, such as a TI-30 or TI-30X or Casio scientific calculator. A graphing calculator (TI- 83 or TI-84) is recommended, but not required. You are responsible for understanding how to use your calculator and for making sure that it works on test days. Introduction: Math is everywhere from balancing your checkbook to setting up your computer to playing sports to determining the shortest route to work to organizing your home and to finding the better buy. We use it every day without even realizing it. And if we can learn some of the mathematics in algebra, then we can apply mathematical skills and higher level thinking to solve some of our everyday problems. College algebra requires us to use arithmetic, variables, mathematical skills, theorems, and logic to solve complex problems. In particular, learning all the methods to solve a quadratic equation is one of the topics you will learn and need in this course. Now, you may not need to use and solve a quadratic equation everyday of your life; however, by learning the logical and analytical processes to solve a quadratic equation, you will learn how to be a better problem solver. By learning several ways to solve a quadratic equation and recognizing which method works best in specific cases, you can apply the same skills to determine the most effective way to solve a problem in your everyday life. This course, and in fact all math courses, teach you not only about mathematics but also about how to become a critical thinker and problem solver. Course Description from the college catalog: This course is for students not necessarily majoring in mathematics, engineering, or physical science. (However, this course is a preparatory course for Pre- Calculus.) Topics included are the real number system; algebraic, exponential, logarithmic and polynomial functions; rational polynomials, systems of equations and appropriate applications. 3 credits Course Prerequisite: Appropriate score on placement test or MAT 032. What do you need to do to be successful in this course? Keep in mind that this course is a part of your journey to your ultimate goal: a certificate, a job, enrichment, transferring to another institution, or graduation at this college. So approach this course with enthusiasm. It will take hard work, time, and effort. In fact, the average student should spend a minimum of 6 hours outside of class each week (two hours for every hour spent in class). So allow for study time, time to meet with me, time to work with a tutor, time to work on homework, and time to read and review the book and notes. But remember that all the hard work, time, and effort will help you achieve your goal. Course Material 1. Linear and Quadratic Equations, Inequalities, and Mathematical Models. 2. Linear, Quadratic, Polynomial, and Rational Functions and Graphs. 3. Exponential and Logarithmic Functions. 4. Systems of Equations and Inequalities. 5. Matrices and Determinants. (As time allows) 6. Conic Sections (As time allows) Syllabus 1 Chesapeake College

MAT 113 Common Core Learning Outcomes At the completion of this course, you will be able to: 1. Apply the mathematical skills required in performing operations and problem-solving related to polynomial, rational exponent and absolute value equations and inequalities. 2. Analyze mathematical models such as formulas, equations, functions, graphs, and tables and draw inferences from them. 3. Communicate mathematical information conceptually, symbolically, visually by graphing functions, and numerically using appropriate terminology. 4. Evaluate and/or interpret mathematical information, relationships, facts, concepts, and theories related to solving and graphing equations. Textbook Sections and Test Coverage Sec. 1.4 1.7 -- Test 1 Sec. 2.1, 2.2, 2.5, 2.6 -- Test 2 Sec. 2.7, 2.8, 3.1, 3.2 -- Test 3 Sec. 3.3 3.6 -- Test 4 Sec. 4.1 4.4 -- Test 5 or Final Exam Sec. 4.5, 5.1 -- Final Exam Grading Policy Note: All grades will be posted on Angel. Components of Final Grade Letter Grade Homework 10% A 90% - 100% Quizzes 10% B 80% - 89.99% Projects 5% C 70% - 79.99% Tests 55% D 60% - 69.99% Final Exam 20% F 0% - 59.99% What is the course made up of? Reading Assignments: Read each textbook section before class. Homework Assignments: There are 3 homework assignments for each section which are all found on MML. The first assignment is to watch the 5-15 minute video, which are called Media assignments and are located in your MML assignment list for you to easily find. You can watch the video either before or after class. The second assignment is a short problem set of 1-5 questions that will be due within 3 days of learning that new section in class. The third assignment is a longer problem set of 10-25 questions that will be due before the test on that section. The due dates for each assignment will be on the MML calendar. The best way to effectively use the homework is to show all your work for each question and keep it in your notebook. That way you can see how you solved each problem and use it to study from for quizzes, tests, and the final exam. If you experience any technical difficulties with MML, please contact MML s Technical Support at 1-800-677-6337. An attendance/participation assignment will also be incorporated into your homework grade. For each day that you attend class, are actively participating, are not late, do not leave early for non-emergencies, and do not use your cell phone or other handheld device, you will receive a point. At the end of the semester, your total number of attendance/participation points will be divided by the total number of class days and will count as one homework grade. Quizzes: There will be several quizzes throughout the semester. Some quizzes will be administered on MML. There will be 1 quiz for every 2 sections learned and then 1 big quiz that covers all the material for every 4 sections to help you prepare for the upcoming test. The due dates for these quizzes will be on the MML calendar. There also may be some quizzes given in class, which may or may not be announced ahead of time. Please be aware that if you are absent the day of an in-class quiz, you cannot make it up. Projects: There will a few (1 5) projects throughout the semester which will ask you to use your skills in writing, critical thinking, technology, and research to gain a deeper understanding of the course material. These projects will be explained thoroughly in class. Tests: There will be 4 to 5 tests throughout the semester covering 4 sections each. Test dates will be announced during class at least one week in advance. No test grade(s) will be dropped. There are no make-up tests. If you know ahead of time that you will be unable to be in class on a test day, you will need to email me at least one week in advance to set up a time to take the test early. Early tests can be taken no more than two weekdays before the test is administered in class. At the end of the semester, I will replace your final exam grade with your lowest test grade (provided the final exam grade is higher). Syllabus 2 Chesapeake College

Note: Using a cell phone or other electronic device (except an appropriate calculator) during a test is prohibited and will result in a zero on that test. Final Exam: Study for the final exam. The final exam is cumulative. The date, time, and location of the final exam are as follows: MAT 113-102 -- Wed, May 8 -- 11:00am-1:00pm--H111 MAT 113-103 -- Mon, May 13 -- 12:30pm-2:30pm--H111 MAT 113-104 -- Thurs, May 9 -- 9:30am-11:30am--H114 MAT 113-105 -- Tues, May 7 -- 11:00am-1:00pm -- H114 How can you get help? Just got a question? The Academic Support Center offers free math tutoring in room 105 of the Learning Resource Center. Find out more at http://info.chesapeake.edu/lrc/tutoring Want one-on-one tutoring? Project Mainstay Student Support Services Program is a federally funded TRIO program which offers free scheduled tutoring up to 2 hours per week to qualifying students in room 105 of the Learning Resources Center. Find out more at http://info.chesapeake.edu/lrc/tutoring/projectmainstay Questions about learning or physical disabilities? Please contact Ms. Judy Gordon in Student Services (ext. 5805). Ms. Gordon can discuss the possibility of an accommodation plan with you to insure full participation and achievement of your educational goals. Find out more at http://www.chesapeake.edu/students/disab.asp For help with or information about advising, registration, career planning, financial aid, or the many other aspects of your life as a student at Chesapeake College, consult the Student Success and Enrollment Services office at http://www.chesapeake.edu/students/ Tentative Schedule Day Section or Activity 1 Intro. to Class, MML, Review 2 1.4 3 1.5 4 1.6 5 1.7 6 Test 1: 1.4, 1.5, 1.6, 1.7 7 2.1 8 2.2 9 2.5 10 2.6 11 Test 2: 2.1, 2.2, 2.5, 2.6 12 2.7 13 2.8 14 3.1 15 3.2 16 Test 3: 2.7, 2.8, 3.1, 3.2 17 3.3 18 3.4 19 3.5 20 3.6 21 Test 4: 3.3, 3.4, 3.5, 3.6 22 4.1 23 4.2 24 4.3 25 4.4 26 Test 5: 4.1, 4.2, 4.3, 4.4 27 4.5 28 5.1 29 Final Exam Important Dates: Mon., Jan 21: College Holiday, Martin Luther King Jr. Day Tues., Jan 22: Classes begin Sun.-Sat., March 17-23: Spring Break, No Classes, Campus closed 3/17-3/19 Thurs., March 28: Mid-term grades due Thurs., April 18: Last day to Withdraw or Audit Tues.-Mon., May 7-13: Final Exams Thurs., May 16: Final grades due Wed., May 22: Graduation at 6pm Mon., May 27: College holiday Memorial Day Syllabus 3 Chesapeake College

Chesapeake College General Education Competencies The course material in this class should contribute to the development of many of the College s general education objectives. This course should increase a student s skills and knowledge to: 1. Communicate in oral and written English Write clearly, correctly, logically, and ethically Express their own ideas coherently, as well as work collaboratively with others in a responsible manner. 2. Read with comprehension Summarize key concepts, make inferences, and draw conclusions. Use appropriate reading strategies to analyze and understand different types of texts. 3. Think critically; reason abstractly Identify, assess, and interpret relevant information. Apply critical thinking skills to the solution of complex problems. 4. Apply technology to learning Use current technology to communicate effectively with others in writing, presentations, and electronic communications. 5. Understand and interpret numerical data using quantitative method and literacy Recognize mathematical problems in a variety of contexts, including their individual academic program, and apply mathematical skills in order to solve them. Demonstrate the mathematical reasoning skills required in problem-solving and decisionmaking situations. Interpret results and draw conclusions. Interpret mathematical models such as formulas, graphs, tables, and schematics, and draw inferences from them. Communicate mathematical information symbolically, visually, numerically, and verbally. Demonstrate knowledge and interpretation of mathematical relationships, facts, concepts, and theories and show how they apply to their academic, professional, and personal lives. Syllabus 4 Chesapeake College Evaluate mathematical information and concepts. College Policies Effective Spring 2008, students may only attempt a course a maximum of three times. Both Audits (L) and Withdrawals (W) count as an attempt at a course. Students should check with their receiving institution as to the transferability of this course as well as what letter grades will transfer successfully. Academic Instruction Emergency Management Plan: In the event that Chesapeake College needs to close for an extended period of time due to a flu pandemic, severe weather event, or other emergency situation, consideration will be given to the timing and duration of the closure as follows: 1. Closure during the semester for up to one week there will be an opportunity to make up work missed without significant alteration to the semester calendar. 2. Closure extending beyond one week (or in situations where classes are cancelled on the same days/evenings over multiple weeks) the College may extend the length of the semester. Depending on the timing of the closure, scheduled breaks, end of semester dates, and/or the processing of final grades might be impacted. Students can acquire information about closures on the College website or by calling 410-822-5400 or 410-228- 4360. Chesapeake College courses held at off campus sites will follow the protocol of the host facility. Academic Honesty: Conceptual discussion of homework assignments between students can be helpful and is encouraged. However, copying or sharing solutions is not allowed, as plagiarism is a form of cheating. This means that you can discuss questions in general, not in specifics!!! Each student must complete the homework questions on their own. Cheating includes representing the ideas of anybody except yourself as your own ideas. Helping somebody else cheat is a form of academic dishonesty. Students are responsible for completing all quizzes, tests and the final exam without assistance (either voluntary or involuntary) from other students. If you have a question regarding the wording of a problem on a quiz, test, or the final exam, you may ask me to assist you with the wording. No communication among students during quizzes, tests or the final exam is allowed. Any form of academic dishonesty will be given the most severe penalty possible. As described in the

Student Code of Conduct, If based on substantial evidence, a student is deemed guilty of academic dishonesty, the College may initiate disciplinary action as follows: 1. The student may be required to repeat the assignment or the examination. 2. The student may be given a failing grade for the assignment or the examination. 3. The student may be given a failing grade for the course. The student may be suspended or dismissed from the college. Chapter Objectives Ch. 1 Equations and Inequalities: 1. Add and subtract complex numbers. 2. Multiply complex numbers. 3. Divide complex numbers. 4. Perform operations with square roots of negative numbers. 5. Solve quadratic equations by factoring. 6. Solve quadratic equations by the square root property. 7. Solve quadratic equations by completing the square. 8. Solve quadratic equations using the quadratic formula. 9. Use the discriminant to determine the number and type of solutions. 10. Determine the most efficient method to use when solving a quadratic equation. 11. Solve problems modeled by quadratic equations. 12. Solve polynomial equations by factoring. 13. Solve radical equations. 14. Solve equations with rational exponents. 15. Solve equations that are quadratic in form. 16. Solve equations involving absolute value. 17. Solve problems modeled by equations. 18. Use interval notation. 19. Find intersections and unions of intervals. 20. Solve linear inequalities. 21. Recognize inequalities with no solution or all real numbers as solutions. 22. Solve compound inequalities. 23. Solve absolute value inequalities. Ch. 2 Functions and Graphs: 1. Find the domain and range of a relation. 2. Determine whether a relation is a function. 3. Determine whether an equation represents a function. 4. Evaluate a function. 5. Graph functions by plotting points. 6. Use the vertical line test to identify functions. 7. Obtain information about a function from its graph. 8. Identify the domain and range of a function from its graph. 9. Identify intercepts from a function s graph. 10. Identify intervals on which a function increases, decreases, or is constant. 11. Use graphs to locate relative maxima or minima. 12. Identify even or odd functions and recognize their symmetries. 13. Understand and use piecewise functions. 14. Find and simplify a function s difference quotient. 15. Recognize graphs of common functions. 16. Use vertical shifts to graph functions. 17. Use horizontal shifts to graph functions. 18. Use reflections to graph functions. 19. Use vertical stretching and shrinking to graph functions. 20. Use horizontal stretching and shrinking to graph functions. 21. Graph functions involving a sequence of transformations. 22. Find the domain of a function. 23. Combine functions using the algebra of functions, specifying domains. 24. Form composite functions. 25. Determine domains for composite functions. 26. Write functions as compositions. 27. Verify inverse functions. 28. Find the inverse of a function. 29. Use the horizontal line test to determine if a function has an inverse function. 30. Use the graph of a one-to-one function to graph its inverse function. 31. Find the inverse of a function and graph both functions on the same axes. 32. Find the distance between two points. 33. Find the midpoint of a line segment. 34. Write the standard form of a circle s equation. Syllabus 5 Chesapeake College

35. Give the center and radius of a circle whose equation is in standard form. 36. Convert the general form of a circle s equation to standard form. Ch. 3 Polynomial and Rational Functions: 1. Recognize characteristics of parabolas. 2. Graph parabolas. 3. Determine a quadratic function s minimum or maximum value. 4. Solve problems involving a quadratic function s minimum or maximum value. 5. Identify polynomial functions. 6. Recognize characteristics of graphs of polynomial functions. 7. Determine end behavior. 8. Use factoring to find zeros of polynomial functions. 9. Identify zeros and their multiplicities. 10. Use the Intermediate Value Theorem. 11. Understand the relationship between degree and turning points. 12. Graph polynomial functions. 13. Use long division to divide polynomials. 14. Use synthetic division to divide polynomials. 15. Evaluate a polynomial using the Remainder Theorem. 16. Use the Factor Theorem to solve a polynomial equation. 17. Use the Rational Zero Theorem to find possible rational zeros. 18. Find zeros of a polynomial function. 19. Solve polynomial equations. 20. Use the Linear Factorization Theorem to find polynomials with given zeros. 21. Use Descartes Rule of Signs. 22. Find the domains of rational functions. 23. Use arrow notation. 24. Identify vertical asymptotes. 25. Identify horizontal asymptotes. 26. Use transformations to graph rational functions. 27. Graph rational functions. 28. Identify slant asymptotes. 29. Solve applied problems involving rational functions. 30. Solve polynomial inequalities. 31. Solve rational inequalities. Ch. 4 Exponential and Logarithmic Functions: 1. Evaluate exponential functions. 2. Graph exponential functions. 3. Evaluate functions with base e. 4. Use compound interest formulas. 5. Change from logarithmic to exponential form. 6. Evaluate logarithms. 7. Use basic logarithmic properties. 8. Graph logarithmic functions. 9. Find the domain of a logarithmic function. 10. Use common logarithms. 11. Use natural logarithms. 12. Use the product rule [for logarithmic functions]. 13. Use the quotient rule [for logarithmic functions]. 14. Use the power rule [for logarithmic functions]. 15. Expand logarithmic expressions. 16. Condense logarithmic expressions. 17. Use the change-of-base property. 18. Use like bases to solve exponential equations. 19. Use logarithms to solve exponential equations. 20. Use the definition of a logarithm to solve logarithmic equations. 21. Use the one-to-one property of logarithms to solve logarithmic equations. 22. Solve applied problems involving exponential and logarithmic equations. 23. Model exponential growth and decay. 24. Use logistic growth models. 25. Choose an appropriate model for data. 26. Express an exponential model in base e. Ch. 5 Systems of Equations and Inequalities: 1. Decide whether an ordered pair is a solution of a linear system. 2. Solve linear systems by substitution. 3. Solve linear systems by addition. 4. Identify systems that do not have exactly one ordered-pair solution. 5. Solve problems using systems of linear equations. Syllabus 6 Chesapeake College