Math 195Q: 
                                        
Introductory College Algebra and
                                       Mathematical Modeling

                                                                    Spring 2006


I would advise you Sir, to study algebra, if you are not already                                        Coping with Math anxiety
an adept in it: your head will be less muddy, and  you will leave                                      -- a great article for you
off tormenting your neighbors about paper  and packthread....  
              
                                                        Samuel Johnson                                          teaching  Instructor's Resources
                                                                                                                                           --  Group Projects and Handouts

                                                                                                                                        
panther Student's  Handouts  
  Picture Gallery (2006 Group Project-- The Largest Box)                                                   --  Take with you for your next Q course
                                                                                                                                          
                                                                                                                                     
Sarah Glaz

glaz@math.uconn.edux
(click on link and remove end x)

Office: MSB 202
Phone: (860) 486 9153
Office Hours: T, Th  1:45 - 2:45 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course anytime on the days I am on campus --
                                Monday, Tuesday, and Thursday.
                                                                                                                                                   
General Information:

Math 195Q is a course designed to serve as preparation for all the other Q courses offered at UConn. It emphasizes two components, the mastery
of which are equally important for success in any course employing mathematics. The first component is made up of  the collection  of fundamental
algebraic concepts and their manipulations. Most of this material is taught in High Schools and Community Colleges under the name Intermediate
Algebra or Algebra II. Math 195Q covers this material using a college algebra approach. The second component consists of using these algebraic
concepts for solving multi-step problems from other disciplines. This practice is called Mathematical Modeling, and is the part of the course that gives
Math 195Q its unique interesting flavor, liveliness and usefulness beyond a usual Intermediate Algebra course. Students will work on mathematical
modeling projects in small groups. Math 195Q is offered this year for the first time, as an experimental course, and is intended to become a permanent
replacement of Math 101. Math 195Q earns students 3 Q credits which count towards graduation.

Who Should Take Math Math 195Q?

All students whose high school algebra needs reinforcement. In particular, students who did not take a course in Intermediate
Algebra prior to enrollment at UConn, or had taken such a course and obtained a grade of C or lower, or had not taken a course
in mathematics for a number of years, are strongly advised to take Math 195Q, before attempting to enroll in any other Q Course.
It is a small investment of your time, that will earn you 3 Q credits which count towards graduation, and repay you with a successful
completion of your other Q courses at UConn.

Class Meeting Times/Place:  Tuesday, Thursday 12:30 - 1:45  MSB 315
                                                                      and Monday 3 - 4:35    MSB 411
Additional class (attendance optional): A  two-hour review session before the Final Exam. Time/place TBA. 

Textbook:
  Intermediate Algebra, by K. Elayn Martin-Gay, 4th edition
                        Available at UConn's bookstore in a package which includes a Student Solution Manual and supplementary CDs of selected lessons

Other Requirements:  A simple Scientific Calculator, for example TI-30Xa.

Expectations:

You are expected to attend all classes. To encourage attendance there will be occasional assignments due at the end of the class, or one-question quizzes
at the beginning of the class. You are responsible for everything that happens in class. If you miss a class, you are expected to find out what happened
either from me or from your classmates. You are also expected to work outside of class about 4 hours per week. Most of all, I hope that as the course
progresses you will get excited about what you are learning and delight in your own, perhaps unexpected, ability to solve mathematical problems.

Homework:

Homework will be assigned after every section, collected every Tuesdays, and returned the following class. Homework assignments will consist of
exercises selected from the Practice Exercises in the Syllabus table below, and  projects provided as handouts in class. There will be individual
assignments and group assignments. Group assignments will be graded, individual assignments will carry exam points (this will be explained in class).
The majority of homework assignments will be done outside of class, but we will devote 30 to 50 minutes every Monday to questions related to
difficulties in the homework. You are encouraged to work with other students in this class on all your homework assignments.

Calculator Policy:

No calculators are allowed during exams or quizzes. All calculations required in these instances can reasonably be done by hand. Calculators will be
used for mathematical modeling group projects using real data, and other in-class and homework assignments where hand calculations may be
too time consuming.

Tutoring Options:

I welcome and encourage you to come to me with any difficulties arising in this class. If you have difficulties coming to my office hours, talk to me, and we
will find another time when we can meet. If you feel you need additional help, there are a variety of other tutoring options:

On-Campus Free Tutoring:        Available at the Q Center, the Math Center,  through the Peer Tutoring Program, and as private tutoring.  
                                                          
Prentice Hall Tutoring Center:  Free text-specific online and phone tutoring Sunday - Thursday. Access Code in your textbook package.

On-Line Helpful Web Sites:       A few recommended Web Sites that provide help in the form of simple explanations, useful examples,
                                                             sample exam questions, and on-line answering of your questions:
                                                             Companion Web Site: Your Textbook companion site.                            
                                                             Ask Dr. Math:  At the Math Forum @Drexel University.                            
                                                             Math for morons like us:  From the ThinkQuest Library.

Exams Schedule:

There will be three in-semester, in-class exams and a Final Exam. None is strictly cumulative, but there will be overlap of material between the exams.
NO MAKE-UP EXAMS unless there is a very serious emergency for which you provide proof.

Exam 1: Tuesday, February 14, 12:30 - 1:45, Location: MSB 315
Exam 2: Thursday, March 16, 12:30 - 1:45, Location: MSB 315
Exam 3: Thursday, April 6, 12:30 - 1:45, Location: MSB 315
Final Exam: Thursday, May 4, 10:30 - 12:30, Location: MSB 315

For help with location of the Final Exam Building click on The Campus Map.

Grading Policy:

Homework, Quizzes, and Group Projects: about 12%.  Each Exam (including the Final Exam): about 22%.

Syllabus:

Expect the course to cover 2 to 4 sections from the textbook, and 1 or 2 Group Projects each week. The suggested Practice Exercises in the table below
are designed to provide you with plenty of practice for a thorough understanding of the concepts taught in class. The actual homework assignments may vary
according to progress in class. If you miss a class, and cannot find out which of the Practice Exercises were assigned as homework, do all the Practice
Exercises suggested in the table for the missed sections. In addition, a number of fun and interesting projects highlighting applications of the material will be
handed out in class every week-- usually on Mondays. Those will be selected from the activities labeled Group Projects in the table below. You will work
on them together in small groups during class time, and complete them as out-of-classroom homework projects. Instructors of  Math 195Q or Math 101
may find the Group Projects by clicking on the Instructor's Resources icon at the top of the page. If you forgot the password send an e-mail to Sarah Glaz.

                         Review Session Before Final Exam (attendance optional):  TBA
                                                   Before-Final Office Hours: TBA

Section
Topic
 Practice Exercises
Introduction

Math-autobio
Chapter 1

1.2
Algebraic expressions and sets of numbers
page 15-17: odd 1-9, odd 15-90
1.3
Operations with real numbers
page 27-30: odd 1-84
Review
Fractions, percentages, unit conversion (Chapter 1 handouts)
Conversion Rectangle Trick homework handout
1.4
Properties of real numbers
page 40-42: odd 1-97
Group Project
Are irrationals rational?

Group Project
Calculate your BMI

Group Project
Analyze newspaper circulation

Chapter 2


2.1
Linear equations in one variable
page 60-61: odd 1-20, odd 23-30, 35
2.2
Introduction to problem solving
page 68-73: odd 1-12
2.3
Formulas and problem solving
page 79-81: 1-5, odd 49-54
2.4 Linear Inequalities and problem solving page 92-94: odd 1-16, odd 17-32, odd 57-74
2.6
Absolute value equations
page 108-109: odd 1-72
Group Project
Algebraic poetry -- Lilavati's swarm

Group Project
Algebraic poetry  -- The rose-red city

Group Project
Calculate your income

Exam  1


Chapter 3


3.1
Graphing equations (include material from 3.3)
page 140-141: odd 1-10, odd 17-46
3.2
Introduction to functions
page 151-156: odd 1-12, odd 23-36, 55-62
3.4
The slope of a line
page 177-180: 1,5,25,27,29,37,39,odd 45-70, 82-87
3.5
Equations of lines
page 189-192: 1,3,7,9,13,15,21,25,27,40-52
Group Project
Hurricane season  (and Tracking Chart)

Group Project
Three swimmers

Group Project
Cigarette ads

Group Project
Life expectancy

Chapter 4


4.1
Linear equations in two variables page 225-227: odd 1-14, odd 35-48
Group Project
Which Honda should you buy?

Group Project
Photos of all sizes

Exam 2


Chapter 5


5.1
Exponents
page 282-284: odd 1- 62
5.2
More exponents
page 289-291: odd 1-56
5.3
Polynomials and polynomial functions
page 300-303: 17-24, 29,31,37,39,43,71
5.4
Multiplying polynomials
page 311-313: 1,5,7,19,25,27,35,43
5.5
The greatest common factor
page 318-320: odd 1-16
5.6
Factoring trinomials (use quadratic formula for roots from 8.2) page 327-329: odd 17 - 89
5.7
Factoring special products
page 334-335: odd 1-16
5.8  (partial)
Solving quadratic equations (via quadratic formula and roots)
page 350-353: 1,3,5,9,17,81
Group Project
The largest box

Group Project
Factoring trinomials completely

Group Project
Free falling from bridges

Chapter 6


6.1
Multiplying and dividing rational expressions
page 372-375: 1,3,5,7, odd 19-38, odd 41-50
6.2
Adding and subtracting rational expressions
page 381-383:  1,3, odd 11-24, odd 27-34
Group Project
Calculate your lottery winning

Group Project
Modeling electricity

Exam 3


Chapter 7


7.1
Radicals and radical functions
page 453-454: odd 1-54
7.2
Rational exponents
page 462-463: odd 1-62
7.6 (partial)
Radical Equations
page 492-493: odd 1-58
Group Project
Skid marks

Group Project
The period of a pendulum

Chapter 9


9.3
Exponential functions
page 611: odd 1-36
9.4
Logarithmic functions
page 620: odd 1-70
9.5
Properties of  logarithms page 626: odd  1-18
9.7 (partial)
Exponential and logarithmic equations
page 640: odd 1-46
Group Project
The black bear population

Group Project
Puzzled by Logs?

Optional Topics


5.1
Scientific notation
page 282-284: odd 63-94
5.2
More scientific notation
page 289-291: odd 57-77
Group Project
Very large and very small numbers

4.2
Linear Equations in Three variables
page 233-234: odd 1-32
Group Project
Tacos anyone?

9.6
Logarithms and Change of  Base
page 633: odd 17-68
Group Project
How long it takes to double your money?

Final Exam





This page is maintained by Sarah Glaz   
Last modified: Spring 2006