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MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other people in the class. Pick up a syllabus.

MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

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Page 1: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

MA112 – Section 106Lab-Enhanced Precalculus Algebra

10:10 a.m. – 11:00 a.m. MWFDr. Maria Byrne

As you enter, please introduce yourself to a couple other people in the class. Pick up a syllabus.

Page 2: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Today We Will

• Go over syllabus.

• Take pre-test.

Page 3: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Today We Will

• Go over syllabus.

• Take pre-test.

For next Wednesday: read R1 in book.

Page 4: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Your Instructor

• Instructor: Dr. Audi Byrne

Page 5: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Dr. Audi ByrnePhD in mathematics from the University of Notre Dame

Page 6: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Dr. Audi ByrneResearch area in biomathematics.

(Dynamical systems and modeling. )

Cellular automata

Multi-cellular Systems

Stochastic Processes

Page 7: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Contacting Your Instructor

Dr. Audi Byrne

• Office: ILB 452

• Office Hours: 12:20am-1:10am daily And by appointment.

• E-mail: [email protected]

Page 8: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Byrne South Alabama

Course Information

• Course webpage:• www.southalabama.edu

ttp:::www:sout l m : u: m t st t:p rson: lh ha aba aeda h a e ap s: :rn :::::::: tm_ age b eh

Page 9: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

                         

             

Audi Byrne•Rank: Assistant Professor of Mathematics

•Education: PhD, University of Notre Dame, 2004 •Research interests: Math modeling, bio-math •[email protected] •link to personal home page •Teaching schedule: Summer 2010 Not teaching

•Office Hours: Summer 2010 By appointment

•Office: ILB 452 251-460-6264 ext 7162

Page 10: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Lab-Enhanced MA112

Per week:

• 3 Traditional Lectures: 50 minutes, Monday, Wednesday and Friday

(10:10 a.m. – 11:00 a.m.)

• 1 Lab Session:50 minutes on Friday

(11:15 a.m. – 12:05 a.m.)

Page 11: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Benefits of MyMathlab for Students

At the University of Alabama:• http://www.youtube.com/watch?v=eLrEu4Eq3fs

Page 12: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Student Testimonials

“Using MyMathLab to do homework was quite easy. Doing my homework online gave much practice for the test given in class. What I truly like about MML is that it tells how to work out each problem and what formulas to use. By using MML I found myself better prepared for the multiple choice final exam.”

Page 13: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Student Testimonials

“I like that MyMathLab lays out all of the things that you need to study. It keeps things in order, keeps you on track, and helps you learn how to solve all of the problems needed to pass the course. I never would have thought that I could have this much help in math while taking it online, but I really think that MyMathLab is a great resource and everyone should use it.”

Page 14: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Student Testimonials

“I was able to work at my own pace. I didn’t feel like I was pressured to keep up with anyone, and I didn’t feel like I was being held back by anyone.”

Page 15: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Textbook

A custom edition taken from Precalculus: Graphs & Models, Fourth Edition by Marvin L. Bittinger, Judith A. Beecher, David J. Ellenbogen and Judith A. Penna (2008) .

You must purchase the book in order to acquire the student access code to MyMathlab, or buy it online with a credit card.

Page 16: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Semester at a Glance

• Module 1 – What is a function?• Module 2 – Linear Functions• Module 3 – Operations with Functions

Midterm on Friday, October 1st

• Module 4 – Quadratic Functions• Module 5 – Polynomial Functions• Module 6 – Rational Functions• Module 7 – Exponential and Logarithmic Functions

Final on Saturday, December 11th

Page 17: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

7 Modules

Page 18: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Grading

Homew ork10%

Quizzes20%

Mid-term30%

Final40%

Page 19: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Tutoring lab:

The department offers a tutoring lab in Room 456 to all student taking mathematics and statistics classes. There is no lab fee. Please check the bulletin board outside ILB 325 for details.

Page 20: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Disabilities

If you have a specific disability that may qualify you for academic accommodations:

Visit the Office of Special Student Services.

Page 21: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Don’t Drop Without Dropping By

The last drop day for the course is October 29th. If you get to the point where you are considering dropping the course, please speak with me, the department chair (Dr. Carter) or the assistant to the chair (Dr. Brick) before dropping.

Page 22: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Homework

• Buy your book (binder or e-book) if you haven’t already. If you haven’t registered to MyMathlab, make sure you bring your student access code to lab on Friday.

• Read Section R.1 The Real Number Line

Page 23: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

1-Minute Group Question

In small groups of 2 or more, introduce yourselves and ask each other any questions you have about the course.

(If no ones knows, you’ll have a chance to ask the instructor.)

Page 24: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Motivation…

Page 25: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Motivation…

• The University Experience

Page 26: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Now time for the

Pre-test

Page 27: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Next time…

• Why learn Precalculus Algebra?

• The real number line.

Page 28: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Why study precalculus?(Why learn algebra?)

• Precalculus = Algebra.

• Needed preparation for precalculus and very useful in its own right.

• Algebra: Understanding and describing relationships between quantities, especially in ways that help you find solutions to problems.

Page 29: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Algebra: Understanding and describing relationships between quantities, especially in ways that help you find solutions to problems.

Relationships between quantities:• # of eggs and # of cartons• Cost of tuition and # of semesters

attended.• Monthly gas bill and average temperature

over the month.

Page 30: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

# of eggs and # of cartons

• In words:However many cartons you have, you have twelve

times that many eggs.

• Algebra: (algebraic equation)Let the number of cartons be represented by the

letter C. Let the number of eggs be represented by the

letter E. Then we have: E = 12 C.

Page 31: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

# of eggs and # of cartons

• Algebra: (graph)

# Eggs verses # Cartons

0

20

40

60

80

0 1 2 3 4 5

Number of Cartons

Nu

mb

er o

f E

gg

s

Eggs

Page 32: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Algebra: Understanding and describing relationships between quantities, especially in ways that help you find solutions to problems.

• Suppose you have 20 feet of fencing. What is the largest area you can enclose?

• If one side has length L, the other side must be 10-L. The area will be L(10-L).

Page 33: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other
Page 34: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other
Page 35: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other
Page 36: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other
Page 37: MA112 – Section 106 Lab-Enhanced Precalculus Algebra 10:10 a.m. – 11:00 a.m. MWF Dr. Maria Byrne As you enter, please introduce yourself to a couple other

Optimal Length of One Side

Area of the Yard Vs Length 'L'

0

10

20

30

0 2 4 6 8 10

Length 'L'

Are

a o

f th

e Y

ard