Math 147 PreCalculus Section 008

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Math 147PreCalculusSection 008

• William P. Clement
• Center for Geophysical Investigation of the
  Shallow Subsurface
• Boise State University

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Learning CommunityYou must be enrolled inMath
147, section 008 andEngineering 110
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Engineering
"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 Sciences Member of
the National Academy of Engineering.
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From the Course Catalog
PreCalculus Math 175 Section 008 5
Credits Monday, Tuesday, Wednesday, Thursday, and
Friday 340 to 430 ET 103
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Professor
William P. Clement Associate Research
Professor Center for Geophysical Investigation
of the Shallow Subsurface (CGISS) Math/Geoscience
s 206B http//cgiss.boisestate.edu/billc billc_at_
cgiss.boisestate.edu 426-4307 Office hours
Fridays Engineering 110 Available in my office,
MG206B most of the time except during exercise
hour (1130-200)
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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.
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Geophysical Tomography
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Borehole Tomography Experiment
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Borehole Tomography

We know the physics of the problem and the data
and we try to find the model parameters.
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Invaluable Help
Randi Walters randiwalters_at_mail.boisestate.edu O
ffice hours 440 to 530 (right after class) -
Monday and Wednesday - Room MEC103
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Course Aims and Objectives
Precalculus foundation for calculus (Math 170
and 175) Concepts and methods fundamental to
Math Engineering Much of engineering math is
taught here Learn it now - avoid later
struggle - enjoy engineering
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Course Aims and Objectives
Determine how you learn best - Visually -
Listening - Reading - Combination What is
important is that you learn how to
learn learn how to enjoy learning
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Course 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.
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Class Format and Procedure
Math 147 - lecture course - self-learning
through ALEKS on your own (mostly) in ENGR
110 Learning Community You must be registered
for both courses to participate in this section
(section 008) of Math 147.
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Class Format and Procedure
Quizzes and exams Fridays during Engineering
110 Homework working through ALEKS - on your
own - Fridays Engineering 110 class - after
quiz or exam
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My 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 mathematics so that
you can focus on new engineering concepts without
being confused by the mathematics.
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Your 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.
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What You Really Care AboutGrading
Homework and Quizzes 30 Exams (5 during
semester) 55 Final exam 15
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Grading
Quizzes and exams will be delivered through ALEKS
during Fridays 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
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Class Website
http//cgiss.boisestate.edu/billc/Math147 I
also have a link to this page from my homepage.
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Graphing Calculator Manual

• To get the Graphing Calculator Manual
• Go to http//math.boisestate.edu/bkenny
• Follow the link
• Graphing Calculator Manual with Exercises

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Behaviors and Grades

• Attendance (commitment)
• Preparation
• Curiosity
• Attitude (dedication)
• Talent (ability)
• Retention
• Effort (time commitment)
• Communication Skills
• Results (performance)

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Behaviors and Grades

• Observations
• What Happened
• Take-away Points

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Behaviors and Grades
Come Prepared!! Stay on pace work daily Ask
Questions!! Be interested Understand
Concepts!! Be an active learner!!
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Any Questions??
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Blooms Learning Taxonomy
Knowledge 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.
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Blooms Learning Taxonomy
Analysis 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.
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Any Questions??
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Course Aims and Objectives
Precalculus 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.
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Course Aims and Objectives
You 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.
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Course 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.
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Formats and Procedures
I 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.
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Formats and Procedures
I 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.
34
Formats and Procedures
Math 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 Fridays Engineering 110 class after
the quiz or exam.
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Simple experiment
1 km
t1s1d11s2d12s30s40
1 km
t2s10s20s3d23s4d24
t3s1d31s20s30s4d34
d31sqrt(1111) Pythagorean theorem
1 km
1 km
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System of Equations
t1 s1d11 s2d12 s3d13 s4d14 t2 s1d21
s2d22 s3d23 s4d24 t3 s1d31 s2d32
s3d33 s4d34 t4 s1d41 s2d42 s3d44
s4d44 t5 s1d51 s2d52 s3d55 s4d54
3x 5y 6 2x 3y 2
Simple Algebra problem Gaussian elimination
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Matrix Form
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
TLs