EASTERN CONNECTICUT STATE UNIVERSITY
DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE
MATHEMATICS 135P – MATH FOR LIBERAL ARTS PLUS
FALL/SPRING YEAR
INSTRUCTOR INFORMATION
Name:
Type Instructor Name Here
Title:
Type Instructor Title Here
Office:
Type Instructor’s Building and Room Location Here
Phone:
Type Instructor’s Office Number Here
Dept. Phone:
(860) 465-4510
Dept. Fax:
(860) 465-4614
Eastern Email:
Type Instructor’s Eastern Email Address Here
Office Hours:
Type Weekday Here
Type Weekday Here
COMMUNICATION TOOLS
All students will send email using their Eastern email account only tool. Instructors add
as needed.
COURSE INFORMATION
Title:
Math for Liberal Arts Plus
Credit:
Four Hours (all of which count towards graduation)
SECTION TYPE NUMBER HERE
Class Meetings:
Type Day of course Here
Type Time of course Here
Location:
Type Name of Building and Room number Here
Final Exam:
Type Day and time of final exam Here
COURSE PRE-REQUISITES
Placement at this level or Completion of MAT 099
COURSE DESCRIPTION
This course offers integrated just-in-time Intermediate Algebra support. Mathematics will
be applied to solving practical problems in a variety of disciplines, enhanced by algebraic
content and technology skills. Mathematical topics include voting theory, financial
mathematics, linear programming, identification numbers, and statistics. Additional topics
MAT 135P Syllabus Page 1 of 14
may include fair division. This course is for non-STEM disciplines only and thus cannot be
used to satisfy the Precalculus Mathematics Plus (MAT 155P) or Precalculus Mathematics
(MAT 155) prerequisite for Calculus I with Technology (MAT 243).
REQUIRED COURSE TEXTBOOKS
1. Math Skills Textbook: A customized free and open online textbook Beginning and
Intermediate Algebra by Tyler Wallace. To view and/or downloaded this free textbook,
go to the link for the MAT 135P Resources Page is located on the Math Foundations
Program website at http://www1.easternct.edu/mathematics/math-foundationsprogram/ .
2. Applications Textbook: Custom Edition textbook by Comap, CP Eastern Connecticut
State For All Practical Purposes 9th edition. ISBN-13: 978-1-4641-9078-0 / ISBN-10:1
– 4641 – 9078 – X.
REQUIRED COURSE TOOLS
1.
The use of the TI-83, 83 Plus, or 84 graphing calculators or equivalent (no cell phone
calculators) is required.
2.
The link for the MAT 135P Resources Page is located on the Math Foundations Program
website at http://www1.easternct.edu/mathematics/math-foundations-program/ .
MAT 135P Resources Page has been created to aid with your academic success. This
webpage contains the following content areas:
a. Math Skills Summaries: contains summaries of the math skills needs for each
application topic that this course will cover, including the optional topic of Fair
Division.
b. Applications Summaries: contains summaries for each application topic this
course will cover, including the optional topic of Fair Division.
c. Course Textbooks: contains a link to the free online textbook and the companion
web site for the textbook.
d. Links to Videos and Online Worksheets: contains numerous links for watching
math videos.
e. Graphing Calculators Information: contains links for finding assistance with
MAT 135P Syllabus Page 2 of 14
using your graphing calculator.
f.
Math in the Real World: contains links to formulas used in various disciplines.
g. Free Software: contains links to free math software.
EASTERN LIBERAL ARTS CURRICULUM (LAC) POLICY
All students must satisfy their LAC Tier I Mathematics requirement for their respective
degree program of study within their first 30 credits earned at Eastern. The LAC Tier I Math
courses are Math 135, 135P, 139P, 155P, 155, and 243. Students who fail any of these
courses in any given semester must take the course again, the following semester.
If a
student fails to complete these courses within the first 30 credits earned at Eastern, he/she
will not be allowed to register for additional courses unless his/her registration includes the
required LAC Tier I Mathematics course.
Upon completion of this requirement students will be able to:
1. Use mathematical thinking as a model of deductive reasoning;
2. Understand the importance of variation – both how a single quantity can vary and
how one quantity varies in relation to another (i.e., functional relationships);
3. Understand the important mathematical idea of growth (linear, quadratic,
exponential, etc.);
4. Apply quantitative reasoning to problems encountered in other academic areas; and
5. Use appropriate technology (e.g. graphing calculators, spreadsheets, mathematical
manipulation software,) to solve quantitative problems.
DEPARTMENTAL MATHEMATICS CLASS ATTENDANCE POLICY
It is Department policy that a student with more than 6 absences of class meetings for
the semester will receive a grade of “F” for the course. In addition, I reserve the
right to lower grades in lesser cases of poor attendance. You are responsible for all material
covered in class or given for homework, independently of your attendance of a class.
Attendance is essential and will be recorded!
MAT 135P Syllabus Page 3 of 14
DEPARTMENTAL MATHEMATICS ACHIEVEMENT CENTER PARTICIPATION POLICY
You are required to visit the Mathematics Achievement Center (MAC) for a
minimum of 18 hours during the semester. MAC participation will be counted as 10%
of your final course grade. Your grade will be based on the percentage of the required 18
hours that you complete. Note that, this is approximately one hour and thirty minutes per
week, which is less than half of the time a student should be studying for a 4-credit course.
For example, if you complete 16 hours then your MAC participation grade will be
16
= 89%.
18
During your time in the MAC, you are expected to work on material related to this math
course. You are required to complete the first 9 hours by the close of the MAC on INSERT
WEEKDAY, MONDAY, DATE, YEAR and the remaining 9 hours by the closing of the MAC on
INSERT WEEKDAY, MONDAY, DATE, YEAR. Note that your midterm grade calculation will be
based on completing the first 9 hours in the MAC by the deadline mentioned above.
Student MAC hours will only be recorded when the MAC is officially open. Students are not
allowed to miss class in order to attend the MAC. The center, which is located in the Library
in room 107, will provide a wide variety of services which will aid you in the successful
completion of this math course. Please reference the Mathematics Achievement Center
website at http://www1.easternct.edu/mathematics/department-index/mathematicsachievement-center/ .
COURSE OUTLINE
The goal of this course is to show students where math is applied in their daily lives. Each
applied math topic will be supported by corresponding math skills lectures and homework.
Math skills consist of the arithmetic, algebraic and technology skills required for students to
be successful with the mechanics of the math calculations.
COURSE OBJECTIVES
Just-In-Time Intermediate Algebra Objectives
In this course, students will:
1. Perform arithmetic operations on integers and fractions.
2. Apply the order of operations to simplify algebraic expressions
3. Evaluate algebraic expressions.
4. Solve linear equations in one variable.
MAT 135P Syllabus Page 4 of 14
5. Solve a formula for a specified variable.
6. Construct and solve basic percent problems.
7. Construct and solve number problems.
8. Construct and solve geometry problems.
9. Construct and solve triangle problems.
10. Construct and solve miscellaneous problems.
11. Multiply and divide expressions using scientific notation and exponent properties.
12. Multiplication and division of numbers written in scientific notation.
13. Perform arithmetic operations on polynomials.
14. Use properties of exponents.
15. Create a table of values from an algebraic equation.
16. Plot ordered pairs.
17. Determine if given ordered pairs are solutions of linear equations in two variables.
18. Complete table of values for linear equations in two variables.
19. Construct graphs by plotting points for linear equations in one variable and two
variables.
20. Find the x-intercept and y-intercept.
21. Construct a graph using the x-intercept and y-intercept.
22. Find the slope given two points.
23. Construct a graph using the slope and y-intercept.
24. Find the equation of a line given a slope and y-intercept, a point and slope, and two
points.
25. Construct a graph of a linear inequality in two variables.
26. Solve systems of equation by graphing, using the substitution method and the
addition/elimination method.
Voting Objectives
We will look at various techniques of voting. In this course, students will:
1. Analyze and interpret preference list ballots.
2. Explain three desired properties of the majority rule.
3. Apply the plurality voting method to determine the winner in an election whose
preference list ballots are given.
4. Explain the Condorcet winner criterion.
5. Rearrange preference list ballots to accommodate the elimination of one or more
candidates.
MAT 135P Syllabus Page 5 of 14
6. Structure two alternative contests from a preference schedule by rearranging preference
list ballots; then determine whether a Condorcet winner exists.
7. Apply the Borda count method to determine the winner from preference list ballots.
8. Apply the sequential pairwise voting method to determine the winner from preference
list ballots.
Identification Numbers Objectives
We will compose and validate identification numbers. In this course, students will:
1. Understand the purpose of a check digit and be able to determine one for various
schemes.
2. Given an identification number and the scheme used to determine it, be able to decide if
the number is a valid number for the scheme.
3. Given an identification number and the scheme, use it to decipher the information such
as birth, date and sex.
4. Be able to convert a given ZIP code to its corresponding bar code, and vice versa.
5. Be able to convert a given UPC number to its corresponding bar code.
Finance Objectives
We will cover the basics of finance, which include topics about saving and borrowing money.
In this course, students will:
1. Apply the simple interest formula to calculate the balance of a savings account.
2. Apply the compound interest formula to calculate the balance of a savings account.
3. Describe the difference between arithmetic and geometric growth.
4. Apply the interest formula for continuous compound interest to calculate the balance of
a savings account.
5. Use the savings formula to determine required deposits into a sinking fund.
6. Know the basic loan terms principal and interest.
7. Be able to solve the simple interest formula to find the amount of a loan over time.
8. Understand the compound interest formula and use it to find the amount of a loan over
time.
9. Use the amortization formula to determine the payments required to fully amortize a
loan.
10. Understand annuity functions and be able to use the annuity formula.
Linear Programming Objectives
MAT 135P Syllabus Page 6 of 14
We will study the basics of linear programming and the topic of maximizing and minimizing
problems. In this course, students will:
1. From its associated chart, write the constraints of a linear programming problem as
linear inequalities.
2. List two implied constraints in every linear programming problem.
3. Formulate a profit equation for a linear programming problem when given the per-units
profits.
4. Draw the graph of a line in a coordinate-axis system.
5. Graph a linear inequality in a coordinate-axis system.
6. Determine by a substitution process whether a point with given coordinates is contained
in the graph of a linear inequality.
7. Indicate the feasible region for a linear programming problem by shading the graphical
intersection of its constraints.
8. Locate the corner points of a feasible region from its graph.
9. Evaluate the profit function at each corner point of a feasible region.
10. Apply the corner point theorem to determine the maximum profit for a linear
programming problem.
11. Interpret the corner point producing the profit maximum as the solution to the
corresponding linear programming problem.
Statistics Objectives
We will study basic descriptive statistics, which is the branch of statistics that includes the
methods for organizing and summarizing data. In this course, students will:
1. Develop an understanding of the concept of a distribution.
2. Learn how to display distributions using pie Charts, bar Charts, histograms and stemand-leaf plots.
3. Learn how to measure the center of a distribution by the mean and the median.
4. Learn how to measure the spread of a distribution by using the range, quartiles, and
standard deviation.
5. Learn how to construct boxplots.
6. Learn how to construct scatterplots.
7. Learn methods for finding the equation of a line that “best fits” the data.
Fair Division Objectives (OPTIONAL TOPIC)
MAT 135P Syllabus Page 7 of 14
We will cover topics about strategies to divide items. In this course, students will:
1. Describe the goal of a fair division problem.
2. Use the adjusted winner procedure to determine the division of a set of objects among
two players.
3. Use the Knaster inheritance procedure to determine the division of a set of objects
among more than two players.
COURSE WORK
I.
Math Skills
Math skills work may include homework, quizzes, exams, and/or projects.
II.
Applications
Applications work may include homework, quizzes, exams, and/or projects.
III.
Departmental Final Exam
The departmental final exam will cover math skills and application topics.
MISSED COURSE WORK POLICY
I.
Math Skills
Input your policy here. You are strongly encouraged to have a stern policy.
II.
Applications
Input your policy here. You are strongly encouraged to have a stern policy.
III.
Departmental Final Exam
The final exam is comprehensive and must be taken on its University
assigned date and time.
FINAL COURSE GRADE
Your progress in this course will be evaluated as follows:
Departmental MAC Participation……………….
10% This cannot be altered
Math Skills………………………………………………….
% Determined by instructor
Applications ………………………………………………
recommend % is ≥ the Math Skills %
Departmental Final Exam…………………………
30% The common portion of the final exam
must equal at least 50% of the final exam
MAT 135P Syllabus Page 8 of 14
grade category
The Course Grading Scale is as follows:
94
90
87
84
80
77
74
70
65
60
0
-
100
93
89
86
83
79
76
73
69
64
59
A
AB+
B
BC+
C
CD+
D
F
EFFECTIVE STUDY HABITS
Here are some techniques that many people use to achieve success.
I.
Effort
It is imperative for college students to put forth significant effort throughout
the entire semester. A student serious about success should be willing to
spend about eight hours a week outside of class time on this course.
II.
Technique
With the proper technique, your effort will allow you to optimize your
success. A positive attitude, study support group, and study skills will also
aid with your success.
III.
Lifestyle Factors
Success in school requires focus. Maintaining the required continuity of effort
is easier if you are eating properly, exercising and sleeping enough.
OFFICE OF ACCESSABILITY SERVICES
If you are a student with a disability and believe you will need accommodations for this
class, it is your responsibility to contact the Office of AccessAbility Services at (860) 4650189. To avoid any delay in the receipt of accommodations, you should contact the Office
of AccessAbility Services as soon as possible.
Please note that accommodations are not
retroactive, and that I cannot provide accommodations based upon disability until I have
MAT 135P Syllabus Page 9 of 14
received an accommodation letter from the Office of AccessAbility Services.
Your
cooperation is appreciated.
STUDENT BEHAVIOR AND ACADEMIC MISCONDUCT POLICY
The use of cell phones, texting devices, beepers, or music devices is inappropriate in class.
They should be turned off (or on vibrate for emergencies) and stored off the class desk. No
food or beverage is allowed during class.
No cheating on any graded material will be tolerated. Violations of academic integrity will
be penalized in one of the following ways; failing grade on assignment, failing grade in
course, and/or student meeting with the department chair.
Students should read and understand Eastern's Academic Misconduct Policy, which can be
found in the student handbook or at:
http://www.easternct.edu/judicialaffairs/academicmisconduct/. All violations will be
handled under the procedures established in this policy.
WEATHER HOTLINE
Eastern has a Weather Hotline telephone service so you can obtain information on delays,
changes or class cancellations due to inclement weather or emergencies. Unless specifically
stated, assume that Eastern is open. In the event weather conditions necessitate a decision
regarding the opening of the university, the hotline will have information available no later
than 6:15 A.M. The hotline numbers are (860) 465-4444 and (800) 578-1449 (toll free).
You can also check on–line on Eastern’s Homepage.
EASTERN’S WEATHER CLOSING POLICY
"In the event of a delayed opening of the University, any class that would have at
least 45 minutes of meeting time remaining after the announced opening time will meet
starting at the announced opening time. Any class meeting that would have fewer than 45
minutes of meeting time after the announced opening time will not meet. For example, if
opening the campus is delayed until 10 a.m., classes running from 9:30-10:45 a.m. would
meet from 10-10:45 a.m.
In the event of an early closing of the University, any class that would have at least 45
minutes of meeting time prior to the announced closing time will meet until the announced
closing time. Any class meeting that would have fewer than 45 minutes of meeting time
MAT 135P Syllabus Page 10 of 14
before the announced closing time will not meet. For example, if we were to close the
University early at 3 p.m., classes running from 2-3:15 p.m. would meet from 2-3 p.m."
INSTRUCTORS SELECT AND ONLY USE THE TABLE FOR THE CURRENT TERM OF
INSTRUCTION
A FEW IMPORTANT DATES
FALL YEAR
First Day of Classes
MONTH DATE (WEEKDAY)
Labor Day Observed-No Classes
MONTH DATE (WEEKDAY)
Midterm Grade Dues
MONTH DATE (WEEKDAY)
Credit/No- Credit Deadline
MONTH DATE (WEEKDAY)
Class Withdrawal Deadline
MONTH DATE (WEEKDAY)
Thanksgiving Recess-No Classes
MONTH DATE (WEEKDAY)
Last Day of Classes
MONTH DATE (WEEKDAY)
Final Exams
MONTH DATE (WEEKDAY)
Final Grades Due
MONTH DATE (WEEKDAY)
A FEW IMPORTANT DATES
SPRING YEAR
First Day of Classes
MONTH DATE (WEEKDAY)
Martin Luther King Day Holiday - No Classes
MONTH DATE (WEEKDAY)
Lincoln’s Birthday Observed – No Classes
MONTH DATE (WEEKDAY)
Washington’s Birthday Observed – No Classes
MONTH DATE (WEEKDAY)
Midterm Grade Dues
MONTH DATE (WEEKDAY)
Credit/No- Credit Deadline
MONTH DATE (WEEKDAY)
Class Withdrawal Deadline
MONTH DATE (WEEKDAY)
Spring Recess-No Classes
MONTH DATE (WEEKDAY)
Last Day of Classes
MONTH DATE (WEEKDAY)
Final Exams
MONTH DATE (WEEKDAY)
Final Grades Due
MONTH DATE (WEEKDAY)
DISCLAMER
The instructor maintains the right to adjust the course syllabus as needed. The syllabus
provides a tentative framework.
MAT 135P Syllabus Page 11 of 14
COMMON FORMULAS MATH 135P MATH FOR LIBERAL ARTS PLUS
Math Skills Formulas For Linear Programming And Statistics
Slope of a line containing the points (x1, y1) and (x2, y2) is given by:
y2  y1
x2  x1
y  mx  b
Slope-Intercept form of a line:
Point-Slope form of a line:
m
y  y1  m( x  x1 )
Applications Formulas For Finance
Simple Interest Formula: I  Prt
A  P  I  P  Prt  P(1  rt )
mt


Compound Interest Formula: A  P  1 
Continuous Interest Formula:
r
n
  P 1  i 
m
A  Pert
  r mt 
 1    1 
 1  i n  1 
m



d
Savings Formula: A  d

r


i




m




r




i
m
 A
Payment Formula: d  A 

n
  r mt 
 1  i   1 
 1    1
 m 

Present Value Formula:
P
A
 r
1  
 m
mt

A
1  i 
n


r




i
m

P
Amortization Payment Formula: d  P
n 
  r  mt 
1  1  i  
1   1   
  m 
MAT 135P Syllabus Page 12 of 14
Applications Formulas For Statistics
Standard Deviation Formula:
n

 x  x 
i 1
2
i
n 1
Formula for Correlation:

The regression line’s slope m is given by:
1 n  xi  x   yi  y 



n  1 i 1  sx   s y 
m  r  Sxy
S
The regression line’s y-intercept b is given by:
b  y  mx
Equation of the least squares regression line:
ŷ  mx  b
MAT 135P Syllabus Page 13 of 14
Tentative Schedule for Math 135P
You do not need to give this to students you may just use this as a template
Week 1:
Course Introduction and Review of course syllabus
Voting Math Skills: Pre-Algebra (recommend 1 class meeting)
Voting Applications (recommend 5 class meetings)
Week 2:
Voting Applications (recommend 5 class meetings)
Finance Math Skills: Pre-Algebra (recommend 1 class meeting)
Finance Math Skills: Solving Linear Equations(recommend 4 class meetings)
Week 3:
Finance Math Skills: Solving Linear Equations (recommend 4 class meetings)
Finance Math Skills: Polynomials (recommend 5 class meetings)
Week 4:
Finance Math Skills: Polynomials (recommend 5 class meetings)
Finance Applications (recommend 11 class meetings)
Week 5:
Finance Applications (recommend 11 class meetings)
Week 6:
Finance Applications (recommend 11 class meetings)
Identification Numbers Math Skills (recommend refresh 1/2 class meeting)
Week 7:
Identification Numbers Applications (recommend 6 class meetings)
Week 8:
Identification Numbers Applications (recommend 6 class meetings)
Week 9:
Linear Programming
meeting)
Linear Programming
meetings)
Linear Programming
meeting)
Linear Programming
class meetings)
Math Skills: Graphing Linear Equations (recommend 1 class
Math Skills: Systems of Linear Equations (recommend 1 class
Math Skills: Graphing Linear Inequalities (recommend 1/2 class
Math Skills: Systems of Linear Inequalities (recommend 1/2
Week 10:
Linear Programming Applications (recommend 4 class meetings)
Week 11:
Statistics Applications (recommend 11 class meetings)
Week 12:
Statistics Applications (recommend 11 class meetings)
Week 13:
Statistics Applications (recommend 11 class meetings)
Week 14:
Statistics Applications (recommend 11 class meetings)
Thanksgiving Recess
Week 15:
Review Material/Catch up as needed or Cover optional topic Fair Division
Fair Division Math Skills: Linear Equations in one Variable (recommend 1 class
meeting)
Fair Division Applications (recommend 3 class meetings)
Week 16:
Review for Final
MAT 135P Syllabus Page 14 of 14