Math 147 PreCalculus Section 008 William P. Clement Center for Geophysical Investigation of the Shallow Subsurface Boise State University.

Math 147Math 147PreCalculusPreCalculusSection 008Section 008

William P. ClementWilliam P. Clement

Center for Geophysical Investigation of the Shallow Center for Geophysical Investigation of the Shallow SubsurfaceSubsurface

Boise State UniversityBoise State University

Learning CommunityYou must be enrolled inMath 147, section 008

andandEngineering 110

EngineeringEngineering

"For Dr. Petroski, acceptance of uncertainty and possible failure - he calls it "coping with the imponderable" - is what separates the "given world" of the scientist from the "built world" of the engineer." (From the May 2, 2006 New York Times article about Henry Petroski of Duke University (page D3))

Fellow of the American Society of Civil Engineers Member of the American Academy of Arts and SciencesMember of the National Academy of Engineering.

From the Course CatalogFrom the Course Catalog

PreCalculusMath 175

Section 0085 Credits

Monday, Tuesday, Wednesday, Thursday, and Friday3:40 to 4:30

ET 103

ProfessorProfessorWilliam P. Clement

Associate Research ProfessorCenter for Geophysical Investigation of the Shallow

Subsurface (CGISS)Math/Geosciences 206B

http://cgiss.boisestate.edu/[email protected]

426-4307Office hours: Friday’s Engineering 110

Available in my office, MG206B most of the time except during exercise hour (11:30-2:00)

Who Am I?Who Am I?I am a geophysicist – a geoscientist who uses physical

principles to understand the structure and processes of the Earth.

I use FM frequency radio signals to produce images of the upper 20 meters of the Earth.

I have been a research professor at Boise State University since 1997.

Hopefully, my background as a scientist will provide context to this course.

Geophysical TomographyGeophysical Tomography

Borehole Tomography Borehole Tomography ExperimentExperiment

BoreholeBoreholeTomographyTomography

We know the physics of the problem and the data and we try to find the model parameters.

Invaluable HelpInvaluable Help

Randi [email protected]

Office hours: 4:40 to 5:30 (right after class)- Monday and Wednesday- Room MEC103

Course Aims and ObjectivesCourse Aims and ObjectivesPrecalculus: foundation for calculus (Math 170

and 175)Concepts and methods fundamental to:

MathEngineering

Much of engineering math is taught hereLearn it now

- avoid later struggle- enjoy engineering

Course Aims and ObjectivesCourse Aims and ObjectivesDetermine how you learn best:

- Visually- Listening- Reading- Combination

What is important is that you:learn how to learnlearn how to enjoy learning

Course Aims and ObjectivesCourse Aims and Objectives

Processing information is the key to learning.

I can transfer lots of information to you (tell you the information), but until you process it, until you work with it, you will not develop a deep understanding the information.

Class Format and ProcedureClass Format and Procedure

Math 147- lecture course - self-learning through ALEKS

on your own (mostly)in ENGR 110

Learning CommunityYou must be registered for both courses to participate You must be registered for both courses to participate

in this section (section 008) of Math 147in this section (section 008) of Math 147.

Class Format and ProcedureClass Format and Procedure

Quizzes and exams Fridays during Engineering 110

Homework working through ALEKS

- on your own- Friday’s Engineering 110 class

- after quiz or exam

My View on MathematicsMy View on Mathematics

I view mathematics as a language.

Mathematics is often the best way to present engineering and scientific theory.

Learning mathematics is not the end goal of this course.

The goal is to be sufficiently comfortable with The goal is to be sufficiently comfortable with mathematics so that you can focus on new mathematics so that you can focus on new engineering concepts without being confused by the engineering concepts without being confused by the mathematics.mathematics.

Your Challenge in MathematicsYour Challenge in Mathematics

But being comfortable with something means using it frequently and understanding its nuances.

You must spend significant time practicing simple, repetitive problems to fully understand the beauty of mathematics.

What You Really Care About:What You Really Care About:GradingGrading

Homework and Quizzes – 30%Exams (5 during semester) – 55%Final exam – 15%

GradingGradingQuizzes and exams will be delivered through ALEKS

during Friday’s Engineering 110 class

For the exams only, you will write down your work- for credit for the exam (i.e., you took it)- for partial credit

Missed exams or quizzes: Do not miss them!- Drop 1 (one) quiz (i.e., your missed one)- Exams – let me know beforehand

better have incredible excuse

Class WebsiteClass Website

http://cgiss.boisestate.edu/~billc/Math147

I also have a link to this page from my homepage.

To get the Graphing Calculator Manual

Go to: http://math.boisestate.edu/~bkennyFollow the link:Graphing Calculator Manual with Exercises

Graphing Calculator ManualGraphing Calculator Manual

Behaviors and GradesBehaviors and Grades

1. Attendance (commitment)2. Preparation3. Curiosity4. Attitude (dedication)5. Talent (ability)6. Retention7. Effort (time commitment)8. Communication Skills9. Results (performance)

Behaviors and GradesBehaviors and Grades

• Observations• What Happened• Take-away Points

Behaviors and GradesBehaviors and Grades

Come Prepared!! Stay on pace; work daily

Ask Questions!! Be interested

Understand Concepts!!Be an active learner!!

Any Questions??Any Questions??

Bloom’s Learning TaxonomyBloom’s Learning TaxonomyKnowledge: arrange, define, duplicate, label, list,

memorize, name, order, recognize, relate, recall, repeat, reproduce state.

Comprehension: classify, describe, discuss, explain, express, identify, indicate, locate, recognize, report, restate, review, select, translate.

Application: apply, choose, demonstrate, dramatize, employ, illustrate, interpret, operate, practice, schedule, sketch, solve, use, write.

Bloom’s Learning TaxonomyBloom’s Learning TaxonomyAnalysis: analyze, appraise, calculate, categorize,

compare, contrast, criticize, differentiate, discriminate, distinguish, examine, experiment, question, test.

Synthesis: arrange, assemble, collect, compose, construct, create, design, develop, formulate, manage, organize, plan, prepare, propose, set up, write.

Evaluation: appraise, argue, assess, attach, choose compare, defend estimate, judge, predict, rate, core, select, support, value, evaluate.

Any Questions??Any Questions??

Course Aims and ObjectivesCourse Aims and ObjectivesPrecalculus lays the foundation for successful

completion of Math 170 and 175. The concepts and methods learned in this course will form the fundamental basis for further studies in math and, most importantly for you, in engineering. Much of the math you will do in engineering is taught in this course. Learn it now so you can avoid struggle in upper level classes later.

Course Aims and ObjectivesCourse Aims and ObjectivesYou need to determine how you learn best, for

example, by seeing the information, hearing the information, or reading the information. You might do best with a combination of different methods. What is important is that you learn how to learn and you learn how to enjoy learning.

Course Aims and ObjectivesCourse Aims and ObjectivesProcessing information is the key to learning. I

can transfer lots of information to you (tell you the information), but until you process it, until you work with it, you will not develop a deep understanding the information.

Formats and ProceduresFormats and ProceduresI expect you to attend class and to participate by being

actively involved in class. The simplest way to be involved is to think about why a topic or method is being presented. What is the purpose of posing or solving the problem this way.

Ask questions if you do not understand something. Do not be afraid to ask a question. If you do not know the answer, many other students will not know the answer too! If someone is brave enough to ask a question, I expect you to honor their bravery by showing respect to your classmate.

Formats and ProceduresFormats and ProceduresI view mathematics as a language that more concisely

and accurately conveys and describes engineering and scientific concepts. Mathematics is often the best way to present engineering and scientific theory. Thus, learning mathematics is not the end goal of this course. The goal is to be sufficiently comfortable with mathematics so that you can focus on new engineering concepts without being confused by the mathematics. But being comfortable with something means using it frequently and understanding its nuances. You must spend significant time practicing simple, repetitive problems to fully understand the beauty of mathematics.

Formats and ProceduresFormats and ProceduresMath 147 is primarily a lecture course combined with

self-learning through ALEKS. This course is part of a Learning Community which includes Engineering 110. You must be registered for both courses to participate in this section (section 008) of Math 147. Attendance in both courses is beneficial to successfully passing Math 147.

Quizzes or exams will be delivered most Fridays during Engineering 110. Homework for Math 147 consists of working through ALEKS on your own and during Friday’s Engineering 110 class after the quiz or exam.

t1=s1*d11+s2*d12+s3*0+s4*0

t2=s1*0+s2*0+s3*d23+s4*d24

t3=s1*d31+s2*0+s3*0+s4*d34

d31=sqrt(1*1+1*1)Pythagorean theorem1 km

s1 s2

s3 s4

1 km

1 km

1 km

Simple experimentSimple experiment

t1 = s1*d11 + s2*d12 +s3*d13 + s4*d14

t2 = s1*d21 + s2*d22 +s3*d23 + s4*d24

t3 = s1*d31 + s2*d32 +s3*d33 + s4*d34

t4 = s1*d41 + s2*d42 +s3*d44 + s4*d44

t5 = s1*d51 + s2*d52 +s3*d55 + s4*d54

System of EquationsSystem of Equations

3x + 5y = 6

2x + 3y = 2Simple Algebra problem

Gaussian elimination

t1 l11 l12 l13 l14 s1

t2 l21 l22 l23 l24 s2

t3 = l31 l32 l33 l34 s3

t4 l41 l42 l43 l44 s4

t5 l51 l52 l53 l54

Matrix FormMatrix Form

T=Ls