MATH 1324-002
Analysis I
TR 10:50 - 12:05
Fall 2012
Instructor: Randal Hoppens Office A-31
Phone: 830-4186 Office Hours: MW 1:00 – 3:00
E-mail: TR 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 student learning comes.
Student Learning Outcomes as defined by the Master Course Syllabus
At the completion of the course, the student will:
· be able to solve and graph linear inequalities in one and two variables and solve business problems using linear programming methods.
· be able to solve systems of equations using Gauss-Jordan method.
· be able to identify different size matrices, perform matrix addition and subtraction, perform scalar and matrix multiplication.
· be able to identify linear programming problems in standard form, and be able to maximize and minimize business problems using the simplex method.
· be able to compute compound interest, annuities, sinking funds, and amortization.
· be able to identify sets, subsets, and Venn diagrams.
· be able to use tree diagrams, the multiplication principle, permutations, combinations, and fundamental probability principles to determine probabilities.
· be able to identify sample spaces and their compliments.
· be able to find probabilities of conditional and Bayes Theorem events.
· be able to find probabilities of Bernoulli trials, binomial distribution, and normal distribution.
· be able to construct probability distributions, histograms, and find the stated probabilities.
· be able to compute the mean, median, variance, and standard deviation.
Required Material Textbook: Lial, Hungerford, and Holcomb, Finite Mathematics with Applications, Tenth Edition, Addison Wesley, 2011. MyMathLab will be the required software for this course.
Course Outline: See Course Requirements and Calendar for Major Assignments and Exams below.
Civility Statement: Members of the Blinn College community, which includes faculty, staff and 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.
Civility Notification Statement: If a student is asked to leave the class room 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. (Academic Affairs)
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 will need to keep two notebooks, one for notes and one for homework. Quizzes will be given and the appropriate homework will be collected for a daily grade. Your final grade will be based on the following percents
MathXL - 15% Daily quizzes and homework – 15% 4 Majors – 50% Comprehensive Final - 20%
Grading %s are: A 90 – 100 B 80 – 89 C 70 – 79 D 60 – 69 F 0 – 59
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 before the work is returned to the class. 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 (2 day) 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 “Q” date, they will receive a “Q” in the class. When the student is administratively dropped after the “Q” date, students will receive a “QF” as stated in current policy. You are able to access your student email account in myBLINN. (New students myBLINN email address is of the form firstname.lastname##@buc.blinn.edu, where ## is the last 2 digits of your Blinn ID)
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 2012-2013 Student Handbook, will be followed.
Academic Support:
Learning Center Hours are as follows: Check for holiday closings
Mon – Thurs. 8:00 am - 9:00 pm (no exams after 7:00 pm)
Friday 8:00 am - 4:00 pm (no exams after 2:00 pm)
Sunday 5:00 pm - 9:00 pm (no exams after 7:00 pm)
Check for holiday closings at “Learning Center - Brenham” in Quick Links on the Blinn Homepage
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 Finite Mathematics with Applications, 10th Edition, Lial, Hungerford, Holcomb
TENATIVE SCHEDULE & TABLE OF CONTENTS
Aug. / 28 / 6.1 / Systems of Two Linear Equations in Two Variables6.2 / Larger Systems of Linear Equations
30 / 6.3 / Applications of Systems of Linear Equations
30 / 6.4 / Basic Matrix Operations
Sept. / 04 / 6.5 / Matrix Products
06 / 7.1 / Graphing Linear Inequalities in Two Variables
06 / 7.2 / Linear Programming: The Graphical Method
11 / 7.3 / Applications of Linear Programming
13 / 7.4 / The Simplex Method: Maximization
18 / Major 1 (Sections 61-7.3)
20 / 7.5 / Maximization Applications
20 / 7.6 / The Simplex Method: Duality and Minimization
25 / 5.1 / Simple Interest and Discount
5.2 / Compound Interest
27 / 5.3 / Annuities, Future Value, and Sinking funds
Oct. / 02 / 5.4 / Annuities, Present Value, and Amortization
Two Table Project: Quiz Two Table Project
04 / 8.1 / Sets
09 / Major 2 (Sections 7.4.1-5.4)
11 / 8.2 / Applications of Venn Diagrams
11 / 8.3 / Introduction to Probability
16 / 8.4 / Basic Concepts of Probability
16 / 8.5 / Conditional Probability and Independent Events
18 / 8.6 / Bayes’ Formula
23 / 9.1 / Probability Distributions and Expected Value
25 / 9.2 / The Multiplication Principle, Permutations, and Combinations
30 / Major 3 (Sections 8.1-8.6)
Nov. / 01 / 9.3 / Applications of Counting
06 / 9.4 / Binomial Probability
08 / 10.1 / Frequency Distributions
13 / 10.2 / Measures of Central Tendency
13 / 10.3 / Measures of Variation
15 / 10.4 / The Normal Distribution and Boxplots
16 / Q - Drop
20 / 10.4 / The Normal Distribution and Boxplots
27 / Questions for major
29 / Major 4 (Sections 9.1-10.4)
Dec. / 04 / Questions from all majors
05 / Make-Up Test 4:00 – 6:00
06 / Questions for Final
13 / Final / Thursday 8:00 – 10:00 (Bring a Scan-Tron)
MATH 1324
Finite Mathematics with Applications, 10th ed. HOMEWORK SYLLABUS
Lial, Hungerford, Holcomb
Work all problems below in MathXL. The problems from the textbook should be worked out on paper and ready to turn in as part of your daily quiz grade. The work must be shown in order to receive credit.
Section / Page / Problems6.1 / 317 / 1, 5, 7, 9, 15, 19, 26, 29
6.2 / 329 / 13, 15, 19, 21, 23, 31, 33, 39, 51, 67
6.3 / 338 / 1, 7, 14, 20, 21
6.4 / 349 / 1, 9, 13, 17, 19, 29, 31, 35
6.5 / 361 / 1, 5, 9, 11, 17, 27, 31, 33, 37, 39
7.1 / 395 / 5, 10, 14, 30, 3, 32, 35, 39, 51, 53
7.2 / 403 / 1, 3, 5, 7, 9, 11, 13, 15
7.3 / 409 / 1, 3, 5, 7, 14, 15, 18
7.4 / 424 / 1, 3, 5, 7, 9, 11, 13, 17, 19, 21, 23, 26
7.5 / 431 / 1, 3, 6, 8, 10, 11
7.6 / 443 / 1, 2, 5, 9, 12, 17
5.1 / 265 / 3, 7, 13, 15, 23, 33, 37
5.2 / 276 / 9, 13, 17, 19, 29, 31, 35, 45, 51, 59, 61, 67
5.3 / 287 / 3, 5, 7, 9, 13, 17
5.4 / 300 / 3, 5, 11, 13, 15, 25, 31, 33, 48, 55
8.1 / 473 / 1, 8, 13, 17, 21, 23, 29, 37, 39, 41, 43, 45
8.2 / 482 / 5, 7, 13, 17, 19, 21, 30, 33, 35, 37, 39, 40
8.3 / 493 / 8, 13, 17, 20, 24, 25, 27, 29, 37, 39, 42, 43, 45, 47
8.4 / 502 / 1, 5, 9, 11, 15, 17, 18, 23, 26, 27, 29, 31, 33, 35, 37, 45, 48, 64
8.5 / 517 / 1, 5, 7, 9, 20, 21, 25, 31, 35, 37, 39, 43, 45, 51
8.6 / 524 / 1, 3, 5, 7, 9
9.1 / 542 / 1, 9, 13, 17, 19, 21, 25, 39
9.2 / 557 / 25, 28, 30, 40, 43, 45, 47, 48, 50, 57, 59, 71
9.3 / 565 / 1, 7, 9, 13, 14, 25, 29, 33, 35, 37
9.4 / 571 / 7, 11, 13, 15, 24, 27, 29, 37
10.1 / 604 / 1, 5
10.2 / 607 / 3, 7, 9, 11, 13, 15, 23, 28
10.3 / 624 / 3, 9, 11, 23, 33
10.4 / 638 / 9, 11, 13, 15, 23, 27, 29, 31, 51