Math 108 Sec A

Math Modeling for the Liberal Arts

Spring 2004 Carter

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April 19 in the Library

Class Syllabus	Departmental Syllabus	Assignments
Course Calendar	Department of Mathematics and Computer Science	Math Center
Test 1 from Previous Years Test 2 from Previous Years Previous Tests 3 & 4	Handouts Get the Lead Out Solutions literals sheet	HW - Classification - Absences

Proud of their parabolas! Was it asking too much for someone to get a calculator with a graph in this picture?

Announcements

Course Topic Summary

Friday is the LAST day that I will accept homework. I forgot to give out your graded homework; I have it in my office if anyone wants it before Friday.

Test Friday – 4/30/04

Problem session Thursday, 2 p.m.

CBL & aluminum foil, exponential functions, horizontal asymptotes, reading graphs

Regression from plots – linear, exponential, quadratic

Solving when equations have multiple variables

Computing grades, determining what score is necessary on a final to get a certain grade

Viewpoints and perspective –

parallel lines converge to a vanishing point;

ratios necessary to make 2-D drawings appear to be 3-D

(library & Lessons 2 & 3 from handouts)

Fibonacci numbers and the golden ratio, golden rectangles

Parabolas and waves in the real world

Infinitesimal (noun) – 1: a function that can be made arbitrarily close to zero; 2: an infinitesimal quantity.

Infinitesimal (adj.) - 1: capable of being made arbitrarily close to zero; 2: immeasurably or incalculably small (Webster’s)

Phone Number Exercise

1. Key in the first 3 digits of your calculator. (Don’t include area code.)

2. Multiply by 80.

3. Add 1.

4. Multiply by 250.

5. Add the last 4 digits of your phone number.

6 Add the last 4 digits of your phone number again.

7. Subtract 250.

8. Divide by 2.

Test 1 – Friday, 2/6/04

Sequences and difference equations

Arithmetic Growth – diff. Equ., Functional Equ., Plots

Linear relationships

Linear Modeling

EMM 2- 4

Walking a Straight Line,

Cigarette, Physicians, Manatee hand-outs

Test 2 3/3/04

Quadratic Growth, quadratic functions, quadratic equations, graphs, applications

Linear material from the last test is possible!

Collected Homework Handouts

HW 1 & 2 CBL Walking Lines (& Ball Drop exercises)

HW 5 quadratic graphs, equations, applications

Some class activities involve modules from Hands-On Activities for Algebra at College. This is an NSF-sponsored project of Professors James Sandefur and Rosalie Dance. Modules from this project can be found at the link.

Other Handouts

Applied Quadratic Growth Practice Problems

Pooled Testing

Spring 2004 Course Calendar

	Monday	Wednesday	Friday
Jan. 11		Course Intro CBL’s & Lines	Difference Equations, Patterns
Jan. 18	MLK Day	Arithmetic Growth	Linear Difference Equ, Functional Equ., & Plots
Jan. 25	Linear Models, Ch. 4 EMM	Plotting Data Sets; Linear Models by observation	Linear Regression Manatee Model
Feb. 2			Test 1
Feb. 9	Quadratic growth sequences, difference equ.	Quadratic growth functional equations	Quadratic Growth Models
Feb. 16	Parabolas, quadratic equations, quad. Formula; marker throw	Applications	Pooled testing
Feb. 23	Pooled testing;	Alcohol & Your Body Asymptotes of rational functions	Alcohol & Your Body
Mar. 1		Test 2 Quadratic growth models, parabolas	XXXXXXXXXXXXXX
Spring Break
Mar. 15	Geometric Growth; Common ratio (growth factor), % increase, diff. equ;functional equ	Ch. 9 Applications	Ch. 10
Mar. 22	Skills work exp. & logs.	Caffeine in the Body	Get the Lead Out
Mar. 29	Smokin’		Test 3 Rat’l Fns, Geometric Growth, Exponential Fns.
Apr. 5	Coffee to Go!		Good Friday
Apr. 12	Data Sets	Data Sets	Fibonacci Sequence & the Golden Ratio
Apr. 19	Viewpoints	Viewpoints/Fibonacci	Masters of Illusion
Apr. 26	Viewpoints – similar triangles & perspective	Bouncing balls, music, & CBL’s	Test 4 CBL & exponential fns; data sets; literals; Fibonacci & golden ratio; perspective
May 3	Last Day of Class	EXAMS	Final Exam Science 114 1:00 – 3:00
	XXX	XXX	Graduation