Survey of Mathematics with Applications - Math 1580.005
Spring 2011
Instructor: Xiaoxing Liu Office Location: GAB 413
Email:
Office hours: 1:00—2:20 pm (M W F) Class Meets: 10:00-10:50am (GAB 317)
Final date: May 13 (Friday) 8—10 am
Course Description: 1580 (1332). Survey of Mathematics with Applications. 3 hours. Topics include probability, statistics, algebra, logic and the mathematics of finance. Additional topics are selected from geometry, sets, cryptography, fair division, voting theory and graph theory. Emphasis on applications. Recreational and historical aspects of selected topics are also included. Technology is used extensively. MATH 1580 is not intended to prepare students for calculus, science, engineering or business courses. Prerequisite(s): MATH 1010 with a grade of C or better or consent of department. Satisfies the Mathematics requirement of the University Core Curriculum.
Learning Objectives:
· Students will demonstrate an understanding of basic financial mathematics
· Students will demonstrate an understanding of probability and statistics basics
· Students will demonstrate an understanding of voting methods, apportionment methods, their theory and uses
· Students will demonstrate an understanding of basic logic
· Students will demonstrate an understanding of graph theory basics
· Students will use technology to solve problems and communicate mathematics
Text:
MyMathlab (required) May be purchased in the bookstore or at coursecompass.com. Instructions for login will be provided the first day of class.
*Survey of Mathematics with Applications, 8/E EXPANDED, Angel, Abbott and Runde
The physical, real-live book is optional, but you have to read it. The e-book is included within MML which is required. The bookstore packages the physical text with MML and sells MML by itself. Please discuss this with me if you have any questions.
Content Coverage: 15.1-15.4, 11.1-11.3, 11.5, 11.6, 3.1-3.6, 13.1-13.8, 12.1-12.11, 14.1-14.4
Topic coverage in MML for Spring 2011:
Chapter 13 Statistics
13.1 Sampling Techniques
13.2 The Misuses of Statistics
13.3 Frequency Distributions
13.4 Statistical Graphs
13.5 Measures of Central Tendency
13.6 Measures of Dispersion
13.7 The Normal Curve
13.8 Linear Correlation and Regression
Chapter 12 Probability
12.1 The Nature of Probability
12.2 Theoretical Probability
12.3 Odds
12.4 Expected Value (Expectation)
12.5 Tree Diagrams
12.6 Or and And Problems
12.7 Conditional Probability
12.8 The Counting Principle and Permutations
*12.9 Combinations
*12.10 Solving Probability Problems By Using Combinations
**12.11 Binomial Probability
Chapter 11 Consumer Mathematics
11.1 Percent
11.2 Personal Loans and Simple Interest
11.3 Compound Interest
**11.4 Installment Buying
11.6 Ordinary Annuities, Sinking Funds, and Retirement Investments
11.5 Buying a House with a Mortgage
Chapter 3 Logic
3.1 Statements and Logical Connectives
3.2 Truth Tables for Negation, Conjunction, and Disjunction
3.3 Truth Tables for the Conditional and Biconditional
3.4 Equivalent Statements
3.5 Symbolic Arguments
3.6 Euler Diagrams and Syllogistic Arguments
Chapter 14 Graph Theory
14.1 Graphs, Paths, and Circuits
14.2 Euler Paths and Euler Circuits
14.3 Hamilton Paths and Hamilton Circuits
14.4 Trees
Chapter 15 Voting and Apportionment
15.1 Voting Methods
15.2 Flaws of Voting
15.3 Apportionment Methods
15.4 Flaws of the Apportionment Methods
Attendance Policy:
I am not going to require attendance initially, but I do reserve the right to require it if I find myself teaching to an empty room. Keep in mind that you need to be present at the start of class to turn in your HW! The class lectures will be the primary source of testable material, and you are strongly encouraged to attend (after all, statistics have shown that those who attend class tend to do better). Besides, you don’t want to miss out on information for exam date changes and the like!
Cheating:
It should go without saying, but cheating on HW’s and exams will not be tolerated. If I catch you cheating in any form or fashion (subject to my judgment), you will be at my mercy and you will be subject to any punishment I deem appropriate, up to and including receiving an F for the course or being referred to an appropriate ethics authority.
Student Behavior in the Classroom: Student behavior that interferes with an instructor’s ability to conduct a class or other students' opportunity to learn is unacceptable and disruptive and will not be tolerated in any instructional forum at UNT. Students engaging in unacceptable behavior will be directed to leave the classroom and the instructor may refer the student to the Center for Student Rights and Responsibilities to consider whether the student's conduct violated the Code of Student Conduct. The university's expectations for student conduct apply to all instructional forums, including university and electronic classroom, labs, discussion groups, field trips, etc. The Code of Student Conduct can be found at www.unt.edu/csrr
Make-up Policy: As I am dropping one of the exams, there will be no make-up exams offered.
Drop Policy: If the student is unable to complete this course, it is his/her responsibility to formally withdraw from the course. The student may do so through the Registrar’s Office after obtaining the necessary signatures. Consents for withdrawal and all necessary signatures may be obtained in the Math Department Office, GAB 435. The last day to drop a class with an automatic “W” is February 25th. The last day to drop a class with “W” or “WF” is March 29th. “WF” is averaged into your GPA as an “F.” If the student does not properly withdraw from the course but stops attending, s/he will receive a performance grade, usually an F.
Mathlab: Information about the Mathlab can be found at www.math.unt.edu/mathlab
Statement regarding disabled students: The University of North Texas complies with Section 504 of the 1973 Rehabilitation Act and with the Americans with Disabilities Act of 1990. The University of North Texas provides academic adjustments and auxiliary aids to individuals with disabilities, as defined under the law. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring accommodation, please see the instructor and/or contact the Office of Disability Accommodation at 940-565-4323 during the first week of class.
Students are responsible for meeting all university deadlines.
See the Schedule of Classes or University Catalog for details.
This syllabus is subject to change as the instructor deems necessary. Any changes will be announced during regular class time.
Internet Access:
Students may access MML via the internet at many of the UNT General Access Computer Labs (GACL) or via a home computer. Chilton 255 (24 hours / 5 days), Discovery Park (COI) B205, GAB 330, GAB 550, ISB 110, Terrill 220, Willis Library 134 (24 hours / 7 days) and Wooten 120 should be MML ready.
Web Access:
Students must use the MyMathLab website, URL: www.coursecompass.com. Necessary information for using this site will be provided in the first day of class.
The Student Evaluation of Teaching Effectiveness (SETE) is a requirement for all organized classes at UNT. This short survey will be made available to you at the end of the semester, providing you a chance to comment on how this class is taught. I am very interested in the feedback I get from students, as I work to continually improve my teaching. I consider the SETE to be an important part of your participation in this class.
Evaluation:
Exam 1,2 &3----20% each(regular exams represent 60% of your final grade)
Homework------20% total
Final exam------20%
Keep in mind: Of your exams, I will use your final grade to replace your lowest exam score if your final grade is better.
Grading scale : A: [90%,100%], B: [80%,90%), C: [70%,80%), D: [60%,70%), F: [0%,60%).
MONDAY / TUESDAY / WEDNESDAY / THURSDAY / FRIDAY1/17
MLK DAY
University Closed / 1/18
FIRST DAY OF CLASS / 1/19
15.1 Voting Methids
Last day to register for Spring 2011 / 1/20 / 1/21
15.2 Flaws of Voting
1/24
15.3 appointment methods
MATH LAB OPENS for the semester / 1/25 / 1/26
15.4 flaws of the apportionment methods / 1/27 / 1/28
11.1 percent
1/31
11.2 personal loans and simple interest
CENSUS DATE - Last day to drop course for refund; After this date instructor's written consent required / 1/1
/ 2/2
11.3 compound interest / 2/3
/ 2/4
11.6 ordinary annuities, sinking funds and retirement investments
2/7
11.6 ordinary annuities, sinking funds and retirement investments / 2/8 / 2/9
11.5 buying a house with mortgage / 2/10 / 2/11
Review for exam 1
2/14
Exam 1 / 2/15 / 2/16
3.1 statements and logical connectives / 2/17 / 2/18
3.2 Truth table
2/21
3.3 truth table / 2/22 / 2/23
3.4 equivalent statements / 2/24 / 2/25
3.5 symbolic argument
Last day to drop with an automatic “W”
2/28
3.6 Euler diagrams
Beginning this date instructor may drop students with grade of “WF” for nonattendance / 3/1
/ 3/2
13.1sampling techniques
13.2 the misuses of statistics
/ 3/3 / 3/4
13.3 frequency distributions
3/7
13.4 statistics graphs
13.5 measures of central tendency / 3/8 / 3/9
13.6 measures of dispersion
13.7 the normal curve
MIDSEMESTER / 3/10 / 3/11
13.8 linear correlation and regression
3/14
SPRING VACATION Classes do not meet / 3/15
SPRING VACATION Classes do not meet / 3/16
SPRING VACATION Classes do not meet / 3/17
SPRING VACATION Classes do not meet / 3/18
SPRING VACATION Classes do not meet
3/21
Review for exam 2 / 3/22 / 3/23
Review for exam 2 / 3/24 / 3/25
exam 2
3/28
12.1 the nature of probability
12.2 theoretical probability / 3/29
Last day to drop a course with consent of instructor / 3/30
12.3odds
12.4 expected value / 3/31 / 4/1
12.5 tree diagrams
4/4
12.6 or and and problems / 4/5 / 4/6
12.7 conditional probability / 4/7
/ 4/8
12.8 the counting principle and permutations
4/11
12.9 combinations
12.10 solving problems by using combinations
Beginning this date a student who qualifies may request a grade of “I” / 4/12 / 4/13
12.11 binomial probability / 4/14 / 4/15
14.1 graphs, paths and circuits
14.2euler paths and euler circuits
4/18
14.2euler paths and euler circuits / 4/19 / 4/20
14.3 Hamilton paths and Hamilton circuits / 4/21
/ 4/22
14.3 Hamilton paths and Hamilton circuits
Last day for an instructor to drop a student with a grade of “WF” for non-attendance
4/25
14.4 trees / 4/26 / 4/27
14.4 trees / 4/28 / 4/29
14.4 trees
5/2
Review for the final
PRE-FINAL WEEK / 5/3
PRE-FINAL WEEK / 5/4
Review for the final
PRE-FINAL WEEK / 5/5
PRE-FINAL WEEK / 5/6
4:00 pm – MATH LAB CLOSES for the semester
5/9
FINALS WEEK / 5/10
FINALS WEEK
/ 5/11
FINALS WEEK / 5/12
FINALS WEEK / 5/13
FINALS WEEK
TERM ENDS
Student Instructions for Registration and Login
Before you go online to register be sure you have:
- A valid e-mail address
- The MyMathLab Course ID from your instructor
- Your Course ID is: liu68515
- A student access code, which can be purchased at the bookstore or online Sample: MMLST-TAROK-THOLE-PICON-SHRIK-PRAWN
If you are using a computer off campus (at home or work) you will need to have administrative access so you can install the necessary plug-ins, and be connected to the internet. (If you’re not sure your computer meets the system requirements, go to www.mymathlab.com/system.html, visit the MyMathLab Installation Wizard in your course, or contact tech support at 1-800-677-6337).
If you are using a computer on campus the necessary plug-ins may already be installed in the lab. If you aren’t sure, check with the lab coordinator or your instructor.
Instructions:
1. Launch Internet Explorer, Firefox or Safari (see http://coursecompass.com/html/system_requirements.html for a complete list of system requirements).
2. Clear the address field and enter www.coursecompass.com.
3. Click the Register button for students.
4. Confirm that you are registering for your math course for the first time and click Next. If you are continuing a multi-semester course, re-taking a course, or switching sections please select the second option.
5. On the Product Selection page, enter the course ID your instructor gave you and click Find Course.
Your course information will appear. Be sure to check that your instructor’s course information is correct. If not, contact your instructor to verify the correct course ID.
6. If your student access code came packaged with your textbook, select Access Code. If you do not have an access code and want to purchase access to your course with a credit card, select Buy Now.
7. Type in your student access code using the tab key to move from one box to the next. Type letters in either all uppercase or all lowercase. Click Next after you have entered your code.
If you are buying access with a credit card, the on-screen instructions will guide you through the purchase process.
8. Please read all information on the License Agreement and Privacy Policy page. Click on Accept if you agree to the terms of use.
9. On the Access Information Screen, you’ll be asked whether you already have a Pearson Education Account.
10. If you have registered for other Pearson online products and already have a login name and password, select Yes. Boxes will appear for you to enter your login information.