Ma123: Fall 2002Sections 001-006

Dr. Paul Eakin: Instructor www.msc.uky.edu/paul

Kyle McCormick: Recitation Leader (001-003)

Zhiqiang Cai: Recitation Leader (004-006)

Principal Course Features

• 4 tests: 3 midterm and final– Each test 100 points

• 90 from uniform exam (curved)• 10 from homework (not curved)

– 50 points instructor grade• (See section leader syllabus)

– Total 450 points in course

• Web-based homework

• Mathskeller

Web Based Homework Systemwww.mathclass.com

• Requires WHS account– Already exists if pre-registered– Initial login and password are student number– Need to create your account if not pre-enrolled

• Easy• People in Mathskeller will help you do it

• Individual homework– Similar to common set used for class discussion– Must be done by expiration date to get credit– Counts 10% of test grades

Mathskellerwww.mathskeller.com

• In basement of the classroom building– Double red doors near loading dock

• Access to and help with web homework

• Free printing of homework assignments

• Where instructors and section leaders have office hours

• Free tutoring for exams and homework

• General math study area

The WHS Homework System

1. Start by going tohttp://www.mathclass.com orhttp://www.mathclass.orgboth point to the same site.

If registered your accountalready exists:

initial login = student numberinitial password=student number

If you log in using your student number as login and password

1. Select Account Modificationand enter your correct email addressYour email is then your login

2. Select Password Modificationand change your password

Use at least 8 characters with atLeast two letters of different cases,A number, and a punctuation mark orsymbol

2. SelectRegister and follow instructions

(People in Mathskeller will help you do this )

If you are not already RegisteredYou will need to create your own account

1. Move mouse overWeb Homework

Class syllabus/homepage:Organization of your recitation section, how your instructor grade will be determined

Class Announcements:prepared and maintained by your section leader

Course syllabus/homepage: Things that apply to all sections of MA123

Exam dates, rooms, grade computation, etc.

Announcements Page

Homework

1. At the Assignments link select the class then select an assignment:

The Personal Version is your homework for that assignment. This is the work you must do to get homework credit for the assignment

The Common Version will be the same every time the bar is pressed. Thus “problem 3” on the common version is well defined. The system return the answer to a problem only after the expiration date for the assignment.

Recommended Approach to the Homework

• Start on an assignment as early as possible• Print your personal assignments and the common assignments

out (its free in Mathskeller)– Put them in a notebook– Collect solutions with the problems in the notebook

• Get together (e.g. in Mathskeller) with others in class to work on homework together

• Get homework assistance from teachers and tutors in Mathskeller

• Submit answers frequently – use the “comments” windows when you get results to ask teachers about specific problems

First AssignmentExpires Tuesday, Sept. 3

Topics

• Quadratic Formula and Applications Polynomial multiplication

• Definition of Function

• Composition of Functions

• Piecewise defined functions (notation)

• Domain of Functions

• Graphs and their interpretation

• Text: Chapter 0, all sections

Functions

If A and B are sets of numbers a function

f: A -> B is a rule which assigns to each element of x in A a unique element f(x) in B.

The set A is called the domain of f. When not given explicitly the domain of f is the largest set of numbers for which the rule makes sense

Example:

( )

The Graph of a Function

• If f is a function then the graph of f is the set of all ordered pairs (x, f(x)) where x is in the domain of f.

• Since ordered pairs can be thought of as coordinates of points on a plane the graph can be thought of as a subset of the plane

• Any specific visualization is a sketch of the graph

Zeroes (roots) of Functions

and Roots of Equations • If f is a function the

zeroes or roots of f are all of the elements r in its domain such that f ( r ) = 0

• Alternatively the roots of f are all solutions to the equation f(x) = 0

• Roots of

• Solutions to

• Places where graph crosses the x-axis

Functions whose Roots can be found exactly

• Linear functions– f(x) = ax + b– Graph = straight line– Root = -b/a if a not 0

• Quadratic Functions–

– Graph is parabola– Roots given by

quadratic formula

Quadratic Equation

There are “quadratic equation-type” formulas for:

• Cubic

• Quartic

• Known over 500 years

• Complicated, Not commonly used

• There cannot be such a formula for any higher degree equation

Piecewise Defined Functions and their Graphs

• F(x) =

Lecture for Wed, Sept 4

• Material from:

• 02 Review of Functional Models

• 03 Review of Lines and Linear Equations

• These expire Tuesday, Sept 10