Western Michigan University
Math 1160 – Finite Mathematics
Lecture / Recitation Sections
Syllabus
Spring 2011
Math 1160 Website:
Lecture Information:
Instructor/Coordinator:
Office:
Phone:
E-mail address:
Office Hours:
http://homepages.wmich.edu/~mschrein/
Mark Schreiner
5523 Everett Tower
387-4730
mark.schreiner@wmich.edu
Monday:
2:30 to 4:30 p.m.
Wednesday:
2:30 to 4:30 p.m.
Thursday:
2 to 3 p.m.
If your schedule does not allow you to be able to come to my office at the times that I
have listed above, please contact me and we can set up an appointment that will fit your
schedule.
Note: Office hours are subject to change. The class will be notified if changes occur.
Recitation Information:
You need to fill in the following information concerning your recitation (i.e. lab) and recitation instructor.
Recitation (Lab) CRN________________
Recitation Time: _____________________
Recitation Room: ________________________________________
Recitation Instructor’s Name_____________________________________________
Recitation Instructor’s E-Mail Address______________________________________
Course Information:
Course Description: This course is designed to give the student a background in the elements of finite mathematics. Included will be
the following topics: linear equations, linear inequalities, mathematical models, solving systems of linear equations, matrices, linear
programming, difference/recursive equations, the mathematics of finance, sets, Venn diagrams, counting techniques, introduction to
basic probability, conditional probability, and tree diagrams.
Prerequisite: A passing grade (C or better) in MATH 110 or 2 years of college preparatory mathematics and satisfactory score on
placement mechanism. ACT/SAT score of 19/460 or greater. MATH 111 is recommended.
Student Goals: To be able to read, understand, and communicate (both verbally and in writing) mathematics (linear functions,
matrices, difference/recursive equations, financial computations, basic set theory, counting techniques, and probability) so as to be able
to apply it in a business setting. These skills support some of the objectives as stated in the BBA program; mainly to understand
essential business knowledge and make effective business decisions using this knowledge.
General Education Proficiency: This course satisfies the requirement of the General Education Proficiency 3: College-Level
Mathematics or Quantitative Reasoning.
This course is an important prerequisite! You must pass Math 1160 with a C or better in order to be (1) admitted into any of the
Haworth College of Business programs, AND (2) before you take STAT 2160.
Course Material:
Textbook: Finite Mathematics & Its Applications, Custom Edition for W.M.U., 10th Edition, by Goldstein, Schneider, and
Siegel
Graphing Calculator: Any TI – 83 or TI – 84 calculator is REQUIRED. A TI – 86, TI – 92, or a TI – Voyage will suffice.
Legal Pad:
Bring an 8.5” x 11” legal pad to the lectures and recitation.
Communicate with Your Recitation Instructor: All communication concerning this course should be made with you recitation
instructor first.
Attendance: Attendance is required both in lecture and the recitation (lab) classes. There are concepts presented in the class that are
not presented in the textbook. Attendance will be taken in each recitation class and taken randomly in the lectures. Lecture attendance
will be taken with the use of class participation and attendance sheets. If you are going to be absent from class, you need to contact
your recitation instructor as soon as possible (preferably prior to the absence).
Recitation (“Lab”) Section: In addition to the large lectures on Monday and Wednesday, each student has registered for a recitation
section (a “Lab” according to the registration system) that meets on Friday (check your schedule for the time and location of your
recitation). The recitation is mandatory and it is your best opportunity to ask questions, so bring any questions that you have
concerning any part of the lecture that you need to have clarified, and any problems that you are having with any of the assignments.
You must learn the name of your recitation instructor and the time and location of your recitation section since quizzes, tests,
homework, and other items that pertain to your grade will be sorted by your recitation instructor's name. Failure to properly indicate
the correct recitation instructor may result in a "lost" grade for some work.
Letter Grades: Here is the basic idea of what the letter grade represents for Math 1160. Note that the descriptions emphasize that the
letter grade is based on your ability to clearly communicate (mostly in writing in the assignments, quizzes, tests, and
the exam) and demonstrate that you understand the mathematical concepts, notations, and prcedures needed to solve
problems in the assignments, quizzes, tests, and the exam.
The letter grade of an A:
You clearly communicate to your instructor (mostly in writing in the quizzes, tests, and the exam, and some
in the assignments) that you fully understand a great majority of the mathematical concepts presented in the
class and can use them to solve complicated problems. Your written solutions are well organized, easy to
read, easy to follow, and clearly communicates the correct mathematical concepts, notation, and steps
needed to arrive at the correct answer. In addition, you have complete all of the tests and quizzes, and
nearly all of the required assignments and quizzes that have been given throughout the semester.
The letter grade of a B:
You clearly communicate to your instructor (mostly in writing in the assignments, quizzes, tests, and the
exam) that you understand a majority of the concepts presented in the class and can use them to solve
problems that are moderately difficult. You write your solutions so that they are organized, relatively easy
to read, relatively easy to follow and communicates the correct mathematical concepts, notation, and steps
needed to arrive at the correct answer. The errors that you make tend to be simple arithmetic errors,
incorrect mathematical notation, or errors that demonstrate that you may not fully understand the
mathematical concept needed to solve a problem. In addition, you complete nearly all of the required
assignments and quizzes that have been given throughout the semester
The letter grade of a C
You communicate to your instructor (mostly in writing in the assignments, quizzes, tests, and the exam) that
you understand most of the mathematical concepts presented in the class and can use them to solve
problems that are somewhat easy. You do not necessarily show all the important mathematical steps and
concepts that you used to arrive at an answer. You make some basic mistakes when solving a problem and
you do not understand or use the correct mathematical notation in your solutions. You may be able to solve
basic problems correctly, but you either make simple errors, make an occasional error in the concept(s)
needed to solve a problem, do not use mathematical notation to indicate the concepts used in your solution,
or have a hard time using several different concepts to arrive at a solution to the problem. Written solutions
are not clearly organized, not clearly written out, and the steps and concepts used to arrive at your answers
are not apparent.
The letter grade of a D:
You communicate to your instructor (mostly in writing in the assignments, quizzes, tests, and the exam) that
you understand only the basic concepts presented in the class and can use them to solve basic problems.
You may be able to solve problems correctly, but you do not clearly communicate in your written solutions
how you arrived at your answers. Your solutions contain major errors in the concepts and principles that
you use to arrive at your answer. You have a hard time with problems that require three or more different
mathematical concepts to arrive at the solution. Written solutions are hard to decipher, have no
organization, are not clearly written out, and the steps that you use to arrive at your answers are not
apparent. You do not use the correct mathematical notation in your solution.
The letter grade of an E:
You communicate to your instructor (mostly in writing in the assignments, quizzes, tests, and the exam) that
you do not understand the majority of the concepts and your solutions to problems do not communicate that
you fully understand the concept(s) needed to arrive at the correct answer. You may be able to solve very
basic problem, but problems requiring three or more different concepts are very difficult. Your written
solution are very hard to decipher, have no organization, are not clearly written out and it is almost
impossible to understand the steps that you used to arrive at your answer.
Grading Scale: The following is the grading scale for Math 1160
Letter Grade
A
BA
B
CB
C
DC
D
E
Grade Breakdown: 2%
5%
18%
25%
25%
25%
From
91 %
87 %
81 %
77 %
70 %
66 %
60 %
0%
-
Up to (but less than)
100 %
91 %
87 %
81 %
77 %
70 %
66 %
60 %
Attendance
Homework Assignments
Quizzes
Test 1
Test 2
Final Exam
Online Grades: Shortly after the first test, grades will be posted online (using a random number assigned to you that your recitation
instructor will give to you). Posted grades allow you to keep track of your current grade and it allows you to see if your scores have
been entered correctly. It is important to keep all papers that have been handed back to you so you can point out if an error in recording
your grade has been made.
Incomplete: An incomplete will only be given according to University and Departmental policy. An incomplete is not a substitute
for a failing grade. It is given only after completing a major portion of the coursework with a passing grade, and circumstances
beyond your control prevent you from completing the coursework.
Withdraws: The last day to withdraw from any class without academic penalty is Monday, March 21, 2011.
Late Withdraws: A late withdraw will only be given according to University policy (See Undergraduate Catalog for details). A late
withdraw is not a substitute for a failing grade. It is given only when you have a passing grade in the class and circumstances beyond
your control arise. I will not issue late withdraws during the last week of classes and during final exam week.
Academic Integrity / Ethics: You are responsible for making yourself aware of and understanding the policies and procedures in the
Undergraduate Catalog that pertain to Academic Integrity. These policies include cheating, fabrication, falsification, forgery, multiple
submission, plagiarism, complicity, and computer misuse. If there is reason to believe you have been involved in academic dishonesty,
you will be referred to the Office of Student Conduct. If you are charged with academic dishonesty, the Office of Student Conduct will
contact you concerning the charges that have been filed. You will be given the opportunity to review the charges. If you believe you
are not responsible, you will have the opportunity for a hearing. You should consult with your instructor if you are uncertain about an
issue of academic honesty prior to the submission of an assignment, quiz, or test.
Homework Assignments: When writing out the solutions to the assigned homework, it is your responsibility to communicate/show to
your instructor that you understand the mathematical concepts, notations, and processes that are used to solve the assigned exercises.
Write out the solution in great detail so that your instructor and other Math 1160 students from the class will understand how you
arrived at your solution. Include little short notes explaining what you are doing; these are very helpful for the exercises that require
several steps in order to reach an answer. Here are some guidelines (and comments) concerning the homework assignments.
Guidelines for Homework Assignments:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Read: Read the appropriate section(s) before attempting any of the exercises. Pay attention to the example given in
the textbook and in class. Note the notation that is used.
Pencil: The assignments are to be written in pencil only.
Clean edged 8.5”x11” paper only: Make sure that all four sides of the paper are smooth (i.e. no ragged edges).
Stapled pages: If your assignment has multiple pages, you must staple the pages together prior to turning it in.
Space within and between the solutions to the exercises: Leave some space between exercises so comments can
be written in between the problems. Also leave space within the solution to an exercise so that the recitation
instructor can write comments and point out where errors occur.
Neatness:
A. Your handwriting should be legible.
B. Graphs should be accurately drawn and large enough so that important details within the graph can be easily
seen.
C. The solutions should be clear and easy for the recitation instructor to follow.
Organization:
A. The problems should be in the order of the assigned exercises.
B. For more complex exercises, your solutions should be written out in a logical order so that the recitation
instructor can understand the steps that you used to arrive at your answer.
Show how you arrived at your answer: It is your responsibility to show that you understand the concept that the
problem is covering. In most cases, just giving the correct answer will not suffice; you will need to show the steps
that you used to arrive at your answer. The solutions should be similar to the format of the solutions to the examples
in the textbook. Write out short phrases that inform the instructor what you are doing.
Write the general formula out before evaluating: When you use a formula in your solution, write out the formula
in general terms (i.e. with the letters representing the variables) before substituting the values in the formula and
evaluating.
Clearly identify your answers: In most cases, clearly identify the final answers to the exercises. In most cases,
placing a box around the final answer will be sufficient.
Use short word phrases: When solving exercises that require several steps, use short word phrases to indicate what
you are doing and what principle or concept that you are using.
Use the correct mathematical notation in your solution: Write out the formula correctly and don’t abuse the use
of the equal sign. Only use the equal sign when statements are equal to each other.
Assignment Grade: The grade on the assignment will not be based just your answer, but how well you
communicate the understanding of the concepts. Presentation of your solutions will have a significant effect on the
assignment grade.
Late assignments will only be accepted upon the approval of your recitation instructor; who has the right not to
grade any late assignments for any reason.
Your recitation instructor has the right not to grade an assignment if it doesn't meet the above guidelines.
Quizzes:
Short Quizzes: There will be several short quizzes given during the recitation. Your recitation instructor has the right not
give a make-up quiz that you missed in recitation after two weeks from when you returned to class from the missed quiz.
Take Home Quizzes:
1.
There will be roughly 6 take home quizzes (which are comprehensive) throughout the semester.
2.
You must be present in your recitation class to receive a take home quiz. If you are not able to make it to
recitation, you may arrange with your instructor to receive it if you have a legitimate excuse for not being in
recitation when the take home quiz is passed out.
3.
The content of the take home quiz varies between recitation sections, so your instructor will only accept the
quizzes that they passed out in their recitation section.
4.
As with assignments, you need to clearly communicate, in writing (using the correct notation, concepts, and
steps), that you understand the mathematics (concepts, notation, and steps) needed to solve the problems.
5.
Your recitation instructor has the right not accept late take home quizzes without a valid excuse.
6.
Your take home quiz should follow the same 15 guideline as the homework assignment ( see listed above).
Tests:
1.
2.
3.
4.
There will be two one-hour tests that will contain fill in the blank questions and questions and problems where you
will have to write out your answer/solutions.
The following is information concerning the two tests.
a. Test 1 will cover chapters 1, 2, and 3, it is tentatively set for Friday, February 11, and will be administered in
your recitation classroom.
b. Test 2 will cover chapters 10 and 11, it is tentatively set for Friday, March 18, and will be administered in your
recitation classroom.
If you miss a single test, you must immediately fill out a MATH 1160 Makeup Test Application Form (that you
can download from the website) and turn it in to your recitation instructor shortly after the missed test. If you have an
excuse that is determined by the Math 1160 coordinator to be a valid excuse, the makeup test will be administered
during the last final exam period on Friday, April 29 at 12:30 p.m. No applications for a makeup tests will not be
accepted after April 22.
For those who have missed more than one test, you must negotiate a plan for the completion of the class with the
MATH 1160 coordinator immediately after the second test.
The Final Exam: A two-hour final exam will be given at the end of the semester and it will mainly cover chapters 5, 6, 10, and 11.
Like the two tests given during the semester, it will contain fill in the blank questions and questions and problems where you will have
to write out your answer/solutions. The only electronic device that is allowed for the tests and exam is the TI-83 or TI-84 calculator (or
a calculator approved by the instructor); calculators that are on wireless phones and palm pilot devices are not allowed. If during a test
or an exam, you use an electronic device that is not approved by the instructor, the instructor has the right to immediately terminate
your test or exam. The final exam schedule based on the lecture times. You can only take the final exam at the listed date and time
based on YOUR scheduled lecture section of Math 1160. Here are the scheduled times for the final exam for the spring 2011
semester:
1.
The 11 a.m. Lecture – The final exam is on Wednesday, April 27, from 10:15 a.m. to 12:15 p.m. (Note: the
italicized time of the final exam is a correction) and is administered in the room where the lectures are given
(2452 Knauss).
2.
The 1p.m. Lecture – The final exam is on Wednesday, April 27, from 2:45 to 4:45 p.m. . (Note: the italicized date
and time of the final exam are a correction) and is administered in the room where the lectures are given (2000
Schnieder).
A missed final exam will have to be made up at another time, but a penalty of 5% of the total number of points that the exam is worth
will be subtracted from your score if the reason for the missed exam is non-documentable and is not beyond your control.
General Note: Keep all homework assignments, quizzes, and tests filed together so that you can study from them and correct any
errors that are made if an incorrect score is entered.
MyMathLab: Due to some possible legal concerns that W.M.U. has with some aspects of publisher online resources, the MyMathLab
assignments will not be a part of the course this semester. MyMathLab will be available to those students (which have the MyMathLab
access code that come with some textbooks) who would like to use it as an online resource (for the multimedia presentations and for
additional practice for some of the exercises listed in the homework assignments). Information concerning MyMathLab will be given
out during the second week of class.
Math 1160 Tutor Lab: There is a Math 1160 Tutor Lab available during the semester in which you can receive some help with MML
assignments and homework exercises that you are having problems with; questions concerning quiz problems will not be answered.
The information concerning the location and hours of the Math 1160 Tutor Lab will be posted on the Math 1160 website. The Math
1160 Tutor lab will be open by the end of the second week of classes and will run up to the week of final exams. It is important to note
that the Math 1160 Tutor Lab is not a substitute for a missed class; it is designed to give guidance on the homework exercises that are
giving you problems. When entering the Math 1160 Tutor Lab, you should have already read the textbook and attempted the problems
in the assignment and have specific questions and problems that you need some help on.
NOTE: Your recitation instructor has the right to alter or add additional policies to the syllabus. If they do, they will post a
addendum syllabus on their website that explains any of the alterations and/or additional policies.
The policies listed above may be changed at any time due to certain circumstances. The class will be informed of any changes.
Math 1160 Basic Schedule:
(This schedule below is tentative and is designed to give you an idea of when (and what) topics are being covered in the classes, when homework assignments, quizzes,
and test will be due or given. Other assignments, projects, or quizzes will be announced in class and on the “Announcement and Due Date” portion of the Math 1160
webpage. The “Announcement and Due Date” portion of the Math 1160 webpage contains the most accurate information concerning information for upcoming classes.
The schedule below may change due to circumstances If any changes do occur, your instructor will contact you about the changes that have occurred.)
Week 1 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, January 10 – Lecture
Topic(s):
Sections 1.1 and 1.4 (Linear equations, graphs of linear equations and the slope of a line)
Wednesday, January 12 – Lecture
Topic(s):
Sections 1.2 and 1.3 (Graphing linear inequalities and the intersection of two lines)
Friday, January 14 – Recitation
Due:
Homework Assignment #1
Short Quiz #1 over section 1.1
Week 2 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, January 17 – Lecture
No Classes – Martin Luther King Day
Wednesday, January 19 – Lecture
Topic(s):
Chapter 3, sections 1 and 2, (Linear programming)
Friday, January 21 – Recitation
Due:
Homework Assignment #2
Short Quiz #2 over section 1.2 and 1.3
Week 3 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, January 24 – Lecture
Topic(s):
Chapter 3, sections 1 and 2, (Linear programming)
Wednesday, January 26 – Lecture
Topic(s):
Section 2.1 (Gauss-Jordan elimination method)
Friday, January 28 – Recitation
Due:
Homework Assignment #3
Short Quiz #3 over Chapter 3, sections 1 and 2.
Take Home Quiz #1 will be passed out today to the students attending the recitation.
Week 4 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, January 31 – Lecture
Topic(s):
Sections 2.2 and 2.3 (Solving a system of linear equations II and arithmetic operations of matrices)
Wednesday, February 2 – Lecture
Topic(s):
Sections 2.3 and 2.4 (Arithmetic operations of matrices and the inverse matrix)
Due:
Take Home Quiz #1 is due at the beginning of lecture.
Friday, February 4 – Recitation
Due:
Homework Assignment #4
Short Quiz #4 over sections 2.1 and 2.2
Week 5 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, February 7 – Lecture
Topic(s):
Section 2.6 (Input-output analysis)
Wednesday, February 9 – Lecture
Topic(s):
Wrap Up and Review
Friday, February 11 – Recitation
TEST #1 – Over chapters 1, 2, and 3 - Will be administered in your recitation.
Due:
Homework Assignment #5
Take Home Quiz #2 will be passed out today to the students attending the recitation.
Week 6 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, February 14 – Lecture
Topic(s):
Sections 11.1 and 11.2 (Difference equations and the solutions of a difference equation)
Wednesday, February 16 – Lecture
Topic(s):
Due:
Sections 11.2 and 10.1 (Difference equations and the solutions of a difference equation and the Simple
Interest and the basics of the Mathematics of Finance)
Take Home Quiz #2 is due at the beginning of lecture.
Friday, February 18 – Recitation
Due:
Homework Assignment #6
Short Quiz #5 over sections 11.1 and 11.2
Week 7 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, February 21 – Lecture
Topic(s):
Section 10.1 (Financial mathematics – Compound interest and effective rate of interest)
Wednesday, February 23 – Lecture
Topic(s):
Section 10.2 (Increasing annuities)
Short Quiz #6 over 10.1
Friday, February 25 – Recitation
No Classes – “Spirit Day”
SPRING BREAK: February 28 through March 4
Week 8 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, March 7 – Lecture
Topic(s):
Section 10.2 (Decreasing annuities)
Wednesday, March 9– Lecture
Topic(s):
Section 10.3 (Loans)
Friday, March 11 – Recitation
Due:
Homework Assignment #7
Short Quiz #7 over sections 10.1
Week 9 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, March 14 – Lecture
Topic(s):
Section 2.6 (Input-output analysis)
Wednesday, March 16 – Lecture
Topic(s):
Wrap Up and Review
Friday, March 18 – Recitation
TEST #2 – Over chapters 10 and 11 - Will be administered in your recitation.
Due:
Homework Assignment #8
Take Home Quiz #3 will be passed out today to the students attending the recitation.
Week 10 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, March 21 – Lecture
Last day to withdraw from any class without academic penalty (i.e. receive a “W” grade).
Topic(s):
Sections 5.1 and 5.2 (Sets and the fundamental principle of counting)
Wednesday, March 23 – Lecture
Topic(s):
Due:
Sections 5.2 and 5.3 (Fundamental principle of counting and Venn diagrams and counting)
Take Home Quiz #3 is due at the beginning of lecture.
Friday, March 25 – Recitation
Due:
Homework Assignment #9
Short Quiz #8 over sections 5.1
Take Home Quiz #4 will be passed out today to the students attending the recitation.
Week 11 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, March 28 – Lecture
Topic(s):
Sections 5.4 and 5.5 (The multiplication principle, permutations, and combinations)
Wednesday, March 30 – Lecture
Topic(s):
Due:
Sections 5.5 and 5.6 (Permutations, combinations, and further counting techniques)
Take Home Quiz #4 is due at the beginning of lecture.
Friday, April 1 – Recitation
Due:
Homework Assignment #10
Short Quiz #8 over sections 5.2 and 5.3
Take Home Quiz #5 will be passed out today to the students attending the recitation.
Week 12 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, April 4 – Lecture
Topic(s):
Section 6.2 (Experiments, outcomes, sample spaces, and events)
Wednesday, April 6– Lecture
Topic(s):
Due:
Section 6.3 (Assignment of Probabilities)
Take Home Quiz #5 is due at the beginning of lecture.
Friday, April 8 – Recitation
Due:
Homework Assignment #11
Short Quiz #8 over sections 5.4 and 5.5
Week 13 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, April 11 – Lecture
Topic(s):
Section 6.4 (Calculating probabilities of an event)
Wednesday, April 13– Lecture
Topic(s):
Section 6.5 (Conditional probabilities and independence)
Friday, April 15 – Recitation
Due:
Homework Assignment #12
Short Quiz #9 over sections 6.3
Take Home Quiz #6 will be passed out today to the students attending the recitation.
Week 14 ----------------------------------------------------------------------------------------------------------------------------------------------Monday, April 18 – Lecture
Topic(s):
Section 6.2 (Experiments, outcomes, sample spaces, and events)
Wednesday, April 20– Lecture
Topic(s):
Due:
Section 6.3 (Assignment of Probabilities)
Take Home Quiz #6 is due at the beginning of lecture.
Friday, April 22 – Recitation
Due:
Homework Assignment #13
Short Quiz #10 over sections 6.4 and 6.5
Final Exam Schedule:-----------------------------------------------------------------------------------------------------------------------------------
Wednesday, April, 27 - Final Exams
Final Exam for the 11 a.m. Lecture.
Time: From 10:15 a.m. to 12:15 p.m.
Location: The lecture classroom: 2452 Knauss Hall! NOT in your recitation room!
Final Exam for the 1 p.m. Lecture.
Time: From 2:45 to 4:45 p.m.
Location: The lecture classroom: 2000 Schneider Hall! NOT in you recitation room!
Make Up Test Schedule:--------------------------------------------------------------------------------------------------------------------------------
Friday, April, 29 - Make Up for Test 1 and 2.
Time:
From 12:30 to 1:30 p.m.
Location: The location is to be announced!