MATH 1324-02 Analysis I TR 9:25 - 10:40 Spring 2009 Instructor: Randal Hoppens Phone: 830-4186 E-mail: rhoppens@blinn.edu Office A-31 Office Hours: MW TR 1:00 – 3:00 1:00 – 4:00 Course Description: Analysis I is the study of linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Prerequisites: MATH 1314 with a grade of “C” or better or an appropriate score on the math section of the SAT or ACT. Three class hours per week. Credit: Three semester hours. Core Course: This is a Core Course in the 42-Hour Core of Blinn College. As such, the students will develop proficiency in the appropriate Intellectual Competencies, Exemplary Educational Objectives, and Perspectives. See www.blinn.edu/corecurriculum Course Objectives: The student should maintain at least a 70% average on all course work covering linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Required Material Textbook: Lial, Greenwell, Ritchey, Finite Mathematics and Calculus with Applications, Eighth Edition, Addison Wesley, 2009. MathXL will be the required software for this course. Graphing Calculator: A graphing calculator is required in this course and I will be using the (TI – 84 or 86) in class. Other calculators may be used; however the student is responsible for learning how to operate them. Symbolic calculators such as the TI-89 and the TI-92 will not be allowed. The instructor reserves the right to limit the type and/or use of specific calculators and programs on exams. Grading Policy: Homework will be assigned throughout the course. You are encouraged to keep your homework in a loose-leaf folder, separate from your notes. Quizzes will be given and the appropriate homework will be collected for a daily grade, which will make up 20% of your grade. The four exam grades will make up 60% of your grade. The comprehensive final is worth 20% of your final grade. It is recommended that you keep a set of note cards containing important formulas and information in this course. Make-up Policy: Students are not assessed absences when representing Blinn College or observing a holy day but are responsible for class work missed. It is the student's responsibility to meet with the instructor prior to or immediately after any absences and make arrangements to turn in completed work. A makeup exam will be scheduled during the last week of the semester and will be comprehensive to take the place of a missing exam grade or to replace the lowest grade on an exam. Twenty percent of the daily grades will be dropped at the end of the semester. Accommodations for Students With Disabilities: Blinn College would like to help students with disabilities achieve their highest potential in college. In order to receive accommodations on exams or assignments, proper documentation must first be provided to the Office of Disability Services. This office is located on the bottom floor of the new Administration Building in room 104 (phone # 830-4157).You must then self-identify and conference with me during my posted office hours to begin receiving accommodations in the class. Attendance Policy: The College District believes that class attendance is essential for student success; therefore, students are required to promptly and regularly attend all their classes. Each class meeting builds the foundation for subsequent class meetings. Without full participation and regular class attendance, students shall find themselves at a severe disadvantage for achieving success in college. Class participation shall constitute at least ten percent of the final course grade. It is the responsibility of each faculty member, in consultation with the division chair, to determine how participation is achieved in his or her class. Participation in the Division of Mathematics is measured by quizzes and homework assignments, which count at least ten percent of the of the semester grade. If a student has the equivalent of one week’s worth of unexcused absences during the semester, s/he will be sent a message to her/his Blinn e-mail account by the College requiring the student to contact her/his instructor and schedule a conference immediately to discuss her/his attendance issues. Should the student accumulate the equivalent of two weeks’ worth of unexcused absences, s/he will be administratively withdrawn from class. For a TR class students will receive the first notification via Blinn student email after 2 days of unexcused absences and a 2nd notification via Blinn student email after 4 days of unexcused absences. If a student is dropped from a class prior to the “W” date, they will receive a “W” in the class. When the student is administratively dropped after the “W” date, students will receive a “WF” as stated in current policy. Students will be able to access their Student e-mail account by logging into BORIS. Civility Statement: Members of the Blinn College community, which includes faculty, staff, and other students, are expected to act honestly and responsibly in all aspects of campus life. Blinn College holds all members accountable for their actions and words. Therefore, all members should commit themselves to behave in a manner that recognizes personal respect and demonstrates concern for the personal dignity, rights, and freedoms of every member of the College community, including respect for College property and the physical and intellectual property of others. If a student is asked to leave the classroom because of uncivil behavior, the student may not return to that class until he or she arranges a conference with the instructor: it is the student’s responsibility to arrange for this conference. Electronic Device Policy: All the functions of all personal electronic devices designed for communication and/or entertainment (cell phones, pagers, beepers, iPods, and similar devices) must be turned off and kept out of sight in all Blinn College classrooms and associated laboratories. Any noncompliance with this policy will be addressed in accordance with the Blinn College civility policy. Additionally, any communication understood by the instructor to be in the nature of cheating will have consequences in accordance with this Blinn College policy section regarding academic dishonesty. Students exempted from this policy section include, active members of firefighting organizations, emergency medical services organizations, commissioned police officers, on-call employees of any political subdivision of the state of Texas, or agencies of the federal government. Exempted students are expected to set the emergency-use devices on silent or vibrate mode. Classroom Policy: No food, drinks, or tobacco products are allowed in the classroom. Cellular telephones and beepers/pagers must be disengaged while the student is in the Blinn College Library or any classroom/lab. Please do not prevent others from learning by talking or interrupting. Scholastic Dishonesty: The policy as stated in the 2008-2009 Student Handbook, will be followed. Academic Support: Learning Center Hours are as follows: Mon –Thurs. 8:00 am - 9:00 pm Fri. 8:00 am - 4:00 pm Sunday 5:00 pm - 9:00 pm Check for holiday closings Computers, videos, and tutors are available to assist students. A student ID must be presented upon entering the Learning Center. Rules are posted in the Learning Center and all students are expected to abide by them. You are encouraged to go to the Learning Center, study in groups, and/or see your instructor for help outside of class. Students that get help outside of class are more successful than those that do not. Math 1324 29 Days Finite Mathematics, 8th Edition, Lial, Greenwell, Ritchey TENATIVE SCHEDULE & TABLE OF CONTENTS Jan. Feb. Mar. Apr. May 20 22 22 27 29 3 3 5 10 12 17 19 24 26 3 5 10 10 12 12 24 26 26 31 2 7 9 9 14 16 21 23 28 30 4 5 11 2.1 2.2 2.3 2.4 3.1 3.2 3.3 4.1 4.2 4.3 5.1 5.2 5.3 7.1 7.2 7.3 7.4 7.5 7.6 8.1 8.2 8.3 8.4 8.5 9.1 9.2 9.3 9.3 Final Solution of Linear Systems by the Echelon Method Solution of Linear Systems by the Gauss-Jordan Method Addition and Subtraction of Matrices Multiplication of Matrices Graphing Linear Inequalities Solving Linear Programming Problems Graphically Applications of Linear Programming Slack Variables and the Pivot Major 1 (Sections 2.1-3.3) Maximization Problems Minimization Problems; Duality Simple and Compound Interest Future Value of an Annuity Present Value of an Annuity; Amortization Sets Major 2 (Sections 4.1-5.3) Applications of Venn Diagrams Introduction to Probability Basic Concepts of Probability Conditional Probability; Independent Events Bayes’ Theorem The Multiplication Principle; Permutations Combinations Major 3 (Sections 7.1-7.6) Probability Applications of Counting Principles Binomial Probability Probability Distributions; Expected Value Frequency Distributions; Measures of Central Tendency Measures of Variation The Normal Distribution The Normal Distribution Questions for major Major 4 (Sections 8.1-9.3) Questions from all majors Make-Up Test 4:00 – 6:00 Questions for Final Monday 1:30 – 3:30 (Bring a Scan-Tron) MATH 1324 Finite Mathematics, 8th ed. Lial, Greenwell, Ritchey HOMEWORK SYLLABUS SEC. PAGE PROBLEMS 2.1 2.2 2.3 2.4 65 80 91 103 2, 5*, 7, 13*, 23, 25*, 39, 43* 1, 3*, 5, 7*, 17, 21*, 23, 27*, 33, 45, 49* 7, 9*, 15, 19*, 21, 23*, 25, 29*, 31, 39*, 44 1, 5*, 9, 15, 17*, 21, 23*, 25, 29*, 43* 3.1 3.2 3.3 145 152 160 1, 5*, 9, 11, 13*, 17, 21, 23*, 27, 29*, 39* 2, 3*, 5, 8*, 9, 11* 7, 9*, 13, 17*, 21, 25* 4.1 4.2 4.3 175 185 199 5, 7*, 9, 11*, 13*, 19, 23*, 26 1, 3*, 7*, 11, 13, 21*, 27, 33 1, 3*, 7, 9*, 13, 16* 5.1 5.2 5.3 232 243 253 19, 21*, 23, 27, 29*, 43*, 49* 21, 25*, 27, 29, 39*, 43*, 51, 52*, 57 9, 11*, 13, 17, 21*, 35* 7.1 7.2 7.3 7.4 7.5 7.6 349 360 372 382 401 414 1, 3, 5, 8, 9, 11*, 15, 21*, 25, 26*, 33, 34*, 35, 38*, 39, 40*, 43, 45, 65*, 66* 1, 5*, 11, 21, 23*, 25, 27*, 29, 39*, 41, 45*, 59 15, 16*, 19, 21*, 25, 28*, 29, 31, 33*, 35, 39* 7, 9*, 10, 13*, 16, 17*, 20, 22, 24*, 28*, 29, 44, 56*, 59, 70* 1, 3, 5*, 7, 9*, 13*, 30, 33*, 35*, 45, 53, 55*, 57, 61, 75* 3*, 7*, 9*, 13* 8.1 8.2 8.3 8.4 8.5 439 449 463 472 485 1, 5*, 14, 20*, 23, 32, 37*, 42*, 43, 45* 3, 7, 12*, 17, 18*, 21, 23, 30, 33*, 35*, 38, 39*, 43, 44* 1, 5*, 6, 8*, 26, 31*, 32, 33, 36*, 47, 48, 51 1*, 25*, 37, 39*, 45, 51* 4*, 5, 9*, 13, 19*, 22, 24*, 30, 36, 43* 9.1 9.2 9.3 511 524 537 1*, 13, 15*, 23, 41*, 45* 3*, 7, 11*, 27, 29* 9, 11*, 13, 15, 23*, 25, 27*, 37*, 40*, 47, 55* QEP activities: Simplex & Duel Method, Conditional Probability & Expected Value, and Counting and Union. For the problems marked with *s you need to write the problem, show all steps and turn them in as part of a quiz grade.