SOUTHWEST COLLEGE –STAFFORD CAMPUS Department of Mathematics MATHEMATICS FOR BUSINESS & SOCIAL SCIENCES : Course Syllabus Math 1324, CRN # 46693 SPRING 2015 Mon Wed: 11:00AM – 12:30PM Room: SW Hub INSTRUCTOR Ernest Nwachukwu CONTACT PHONE # EMAIL ADDRESS (713) 718 7770 Ernest.Nwachukwu@hccs.edu Office Hour: Mon, Wed: 2:30pm – 3:30pm Catalog Description: MATH 1324 Mathematics for Business & Social Sciences. The application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value. 3 credit (3 lecture). Prerequisite: A grade of C or better in Math 0312 or its equivalent or Meet TSI college-readiness standard for Mathematics. Course Intent: This course is intended for students majoring in liberal arts and secondary education. Audience: Students who are enrolled in the business area may take this course as an elective in order to obtain a broader background in the technique of linear programming and to further expand their mathematical knowledge. Math 1324 Textbook: Mathematics with Applications by Margaret L. Lial, Thomas W. Hungerford, &John Holcomb Publisher: Addison-Wesley 10th Edition Student Learning Outcomes Course Objectives 1.1 Be able to graph systems of linear equations in two variables. 1.2 Be able to solve systems of linear equations using Gauss-Jordan elimination. 1.3 Know how to add, subtract, and multiply matrices. 1.4 Be able to find the inverse of a square matrix. 1.5 Be able to graph systems of linear inequalities in two variables. 1. Solve business / financial problems by the use of systems of equations, systems of inequalities, and matrices. 2. Formulate and solve linear programming problems by graphing and the Simplex Method. 3. Analyze information and make conclusions based on set data. 2.1 Know the graphical method for solving a linear programming problem. 2.2 Know the simplex method for solving standard maximization and standard minimization problems. 3.1 Be able to perform the basic set operations. 3.2 Be able to use the multiplication principle of counting. 3.3 Understand permutations and combinations. 3.4 Be able to use the basic counting techniques. 4.1 Understand conditional probability. 4.2 Be able to use Bayes’ Formula. 4.3 Be able to find expected values. 4.4 Be able to find the standard deviation of a set of values. 4.5 Be able to find the binomial distribution and the normal distribution of a set of data. 4. Comprehend, analyze, and synthesize statistical data in order to make predictions. Attendance policy: Students are expected to attend classes regularly. If some special situation arises, which calls for your missing classes, then please keep me informed. If I am not notified and your absences exceed 12.5% of the number of classes, you will be administratively withdrawn immediately. Tardiness (lateness to class) policy: Every student is expected to be in class on time. If a student is late on the examination day, the student will not be given extra time. Home Work policy: Assignments will given every day but usually will not be collected. For a student to get the best out of this class, it is very important that the student 2 Math 1324 solves problems in the textbook. If a student fails to do assignments, it is not likely that the student will pass the examination. Exam Policy: Cheating is not allowed in the examination. If a student is caught cheating in an examination, the student will lose all the marks for that examination. College policies on cheating will be enforced. These are clearly outlined in the HCCS Student Handbook. Make-up policy: There will be no make-up of any test. An exception to this can be allowed if there is a case of medical emergency and with a valid proof. There will be no make-up of the final examination. Grading policy: Each of the first four examinations is worth 20%; and the final examination is worth 40% of the final course grade. The final course grade (call it FCG) will be calculated using the formula:FCG = Average of the best four grades (final counting double). Letter grade will be assigned to the FCG. Grade legend: 90% - 100% - A, 80% - 89% - B, 70% - 79% - C, 60% - 69% - D, below 60% - F. Final Examination : The final examination consists of 33 multiple-choice problems. The problems cover only the material required in this course. Americans With Disabilities Act (ADA): Students with Disabilities: Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester. Textbook: MATHEMATICS WITH APPLICATIONS; 1 0 TH Edition; Lial & Hungerford.Addison Wesley Withdrawal Policy: If you plan on withdrawing from your class, you MUSTcontact a HCC counselor or your professor prior to withdrawing (dropping) the class for approval and this must be done PRIOR to the withdrawal deadline to receive a “W” on your transcript. **Final withdrawal deadlines vary each semester and/or depending on class length, please visit the online registration calendars, HCC schedule of classes and catalog, any HCC Registration Office, or any HCC counselor to determine class withdrawal deadlines. Remember to allow a 24-hour response time when communicating via email and/or telephone with a professor and/or counselor. Do not submit a request to discuss withdrawal options less than a day before the deadline. If you do not withdraw before the deadline, you will receive the grade that you are making in the class as your final grade. 3 Math 1324 Repeat Course Fee: The State of Texas encourages students to complete college without having to repeat failed classes. To increase student success, students who repeat the same course more than twice, are required to pay extra tuition. The purpose of this extra tuition fee is to encourage students to pass their courses and to graduate. Effective fall 2006, HCC will charge a higher tuition rate to students registering the third or subsequent time for a course. If you are considering course withdrawal because you are not earning passing grades, confer with your instructor/counselor as early as possible about your study habits, reading and writing homework, test taking skills, attendance, course participation, and opportunities for tutoring or other assistance that might be available. Classroom Behavior: As your instructor and as a student in this class, it is our shared responsibility to develop and maintain a positive learning environment for everyone. Your instructor takes this responsibility very seriously and will inform members of the class if their behavior makes it difficult for him/her to carry out this task. As a fellow learner, you are asked to respect the learning needs of your classmates and assist your instructor achieve this critical goal. Academic Honesty: A student who is academically dishonest is, by definition, not showing that the coursework has been learned, and that student is claiming an advantage not available to other students. The instructor is responsible for measuring each student's individual achievements and also for ensuring that all students compete on a level playing field. Thus, in our system, the instructor has teaching, grading, and enforcement roles. You are expected to be familiar with the University's Policy on Academic Honesty, found in the catalog. Students are responsible for conducting themselves with honor and integrity in fulfilling course requirements. Penalties and/or disciplinary proceedings may be initiated by College System officials against a student accused of scholastic dishonesty. Resources and Supplemental instruction: Any student enrolled in Math 1324 at HCC has access to the tutoring labs where they may get additional help in understanding the theory or improving their skills. The math tutoring labs are staffed with student assistants who can aid students with math problems. Another helpful resource is the student solutions manual that may be purchased in the bookstore. Students with Disabilities: Students who require reasonable accommodations for disabilities are encouraged to report to Dr. Becky Hauri at 713-718-7910 to make necessary arrangements. Faculty is only authorized to provide accommodations by the Disability Support Service Office. 4 Math 1324 Use of Camera and/or Recording Devices: As a student active in the learning community of this course, it is your responsibility to be respectful of the learning atmosphere in your classroom. To show respect of your fellow students and instructor, you will turn off your phone and other electronic devices, and will not use these devices in the classroom unless you receive permission from the instructor. Use of recording devices, including camera phones and tape recorders, is prohibited in classrooms, laboratories, faculty offices, and other locations where instruction, tutoring, or testing occurs. Students with disabilities who need to use a recording device as a reasonable accommodation should contact the Office for Students with Disabilities for information regarding reasonable accommodations. Martin Luther king, Jr. Observance Holiday January 19, 2015 Presidents Day Holiday February 16, 2015 Spring Break March 16-March 22, 2015 Last Day to Drop Classes March 24, 2015 Course Outline: UNIT I Algebra Review 2.1 Graphs 2.2 Equations of Lines UNIT II Nonlinear Functions 3.4 Quadratic Functions 3.7 Rational Functions 4.1 Exponential Functions 4.3 Logarithmic Functions 4.4 Logarithmic and Exponential Equations UNIT III Systems of Linear Equations 6.1 Systems of Linear Equations 6.2 The Gauss-Jordan Method 6.3 Applications of Systems of Linear Equations 6.4 Basic Matrix Operations 5 Math 1324 6.5 Matrix Products UNIT IV Linear Programming 7.1 Graphing Linear Inequalities in Two Variables 7.2 Linear Programming: The Graphical Method 7.3 Applications of Linear Programming 7.4 The Simplex Method: Maximization 7.5 Maximization Applications UNIT V Sets and Probability 8.1 Sets 8.2 Applications of Venn Diagrams 8.3 Introduction to Probability 8.4 Basic Concepts of Probability 8.5 Conditional Probability and Independent Events UNIT VI Counting, Probability Distributions, and Further Topics in Probability 9.1 Probability Distributions and Expected Value 9.2 The Multiplication Principle, Permutations, and Combinations 9.3 Applications of Counting 9.4 Binomial Probability UNIT VII Mathematics of Finance 5.1 Simple Interest and Discount 5.2 Compound Interest 5.3 Annuities, Future Value, and Sinking Funds 5.4 Annuities, Present Value, and Amortization MATH 1324: Mathematics for Business 6 Course Objectives Math 1324 & Social Sciences Student Learning Outcomes 1. Solve business / financial problems by the use of systems of equations, systems of inequalities, and matrices. 1.1 Be able to graph systems of linear equations in two variables. 1.2 Be able to solve systems of linear equations using Gauss-Jordan elimination. 1.3 Know how to add, subtract, and multiply matrices. 1.4 Be able to graph systems of linear inequalities in two variables. 2. Formulate and solve linear programming problems by graphing and the Simplex Method. 2.1 Know the graphical method for solving a linear programming problem. 2.2 Know the simplex method for solving standard maximization and standard minimization problems. 3. Analyze information and make conclusions based on set data. 3.1 Be able to perform the basic set operations. 3.2 Be able to use the multiplication principle of counting. 3.3 Understand permutations and combinations. 3.4 Be able to use the basic counting techniques. 4. Demonstrate fundamental probability techniques and application of those techniques, including expected value, to solve problems. 4.1 Understand conditional probability. 5. Apply elementary functions, including linear, quadratic, polynomial, rational, logarithmic, and exponential functions to solving real-world problems. 5.1 Apply matrix skills and probability analyses to model applications to solve real-world problems. 6. Solve mathematics of finance problems. 6.1 Compute interest, annuities, and amortization of loans. 4.2 Be able to find expected values. 4.3 Be able to find the binomial distribution. Disclaimer: The rules, policies, terms and guidelines of this syllabus are subject to change and may be updated, corrected, or modified by the instructor, at any time, due to unforeseen circumstances, and changing needs of the class. The student shall be notified of any such changes in the provisions of this document. 7