MATH 343 Elementary Linear Algebra

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MATH 343Elementary Linear Algebra

• A Great and Enjoyable Class!!!!
• WELCOME

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Math 343 7  
Elementary Linear Algebra
Winter Semester 2004  
  Professor Vianey Villamizar Class
1200 - 1250 p.m. MWF C261 ESC Office 366
TMCB Email/Phone vianey_at_math.byu.edu /
422-1754 Web page www.math.byu.edu/vianey
Office Hours M-W 500-600 (office), Fr
200-300 (Math lab) or by appointment.
Grader Jed Bailey jpb47_at_email.byu.edu
Text Elementary Linear Algebra, Eighth
Edition, H. Anton and C. Rorres, Wiley
2000.  

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South America
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Education and Experience

• EDUCATION
• Bs, Ms Universidad Central de Venezuela (Caracas,
  Venezuela)
• PhD Rensselaer Polytechnic Institute (Troy, New
  York)
• TEACHING AND RESEARCH
• Rensselaer Polytechnic Institute (1 year)
• Northwestern University, Evanston, Illinois (2
  years)
• Universidad Central de Venezuela (10 years)
• New Jersey Institute of Technology, Newark, New
  Jersey (1 year)
• Brigham Young University (3 years)

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Education and Experience

• At BYU, I have taught
• Math 334. Ordinary Differential Equs.
• Math 311. Num. Analysis
• Math 214. Multivariable Calculus.
• Math 511. Num. Soln. Of Partial Diff. Equs
• Research interest
• Numerical and Asymptotic Methods Applied to
  Linear and Nonlinear Partial Differential and
  Integral Equations
• Wave Propagation Acoustic, Electromagnetic, and
  Elastic Scattering.
• Modelling and Numerical Solution of Oil
• Pipeline Transient Fluid Equation.

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History of BYU

• It has been said the Saints will be saviors upon
  Mount Zion, that they are destined to redeem the
  world. Redeem the world from what? From the
  thralldom of sin, ignorance, and degradation! In
  order to do this, Zion will have to take the lead
  in everything and consequently also in education
  
• Karl G. Maeser

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BYU Mission

• The mission of Brigham Young University
  founded, supported, and guided by The Church of
  Jesus Christ of Latter-day Saints is
• To assist individuals in their quest for
  perfection and eternal life.

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Aims of a BYU Education

• Spiritually Strengthening.
• Intellectually Enlarging.
• Character Building, Leading to
• Lifelong Learning and Service

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Syllabus
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Homework

• You are strongly encouraged to work on homework
  problems everyday. You should be willing to put
  in at least two hours outside the classroom for
  each hour of class.
• Late homework wont be accepted. To make up for
  this, your four lowest homework grades will be
  dropped

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Exams

• The best way to prepare for the exams is to go
  over the homework problems and the examples
  worked in class (they constitute your best study
  guide) and then try to solve related problems
  that you havent seen before.
• If you can reach the point where you can do fresh
  problems without help in all sections, I can
  anticipate that you will be able to successfully
  solve all problems on the midterms and final
  exam.

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Test Difficulty

• Best advice 1 Corinthians 1013
• God is faithful, who will not suffer you to be
  tempted above that ye are able but will with the
  temptation also make a way to escape, that ye may
  be able to bear it.
• Application to Math 214
• God is faithful, who will not suffer you to be
  tested above that ye are able but will with the
  exam also make a way for you to study hard, that
  ye may be able to obtain a good grade.

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Levels of Learning

• Level 1 Remember.
• Level 2 Understand.
• Level 3 Apply
• Level 4 Analyze
• Level 5 Evaluate
• Level 6 Create

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Learning at the University Level

• High School Level
• Reproduce Class
• Class is everything
• Instructor programs students
• Almost no readings
• Slow-paced style

• University Level
• Apply what is learned to new situations
• Much learning occurs outside classroom
• Instructor guides students
• Read for comprehension. Many hours.
• Fast-paced style

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Teaching and Learning Mathematics

• A goal more important than teaching a set of
  theorems is to develop in students the ability to
  understand and manipulate the objects of linear
  algebra.
• Mathematics can be learned only by doing.
• Dont expect to read mathematics the way you read
  a novel. If you zip through a page in less than
  an hour you are probably going too fast.
• Linear Algebra Done Right
• by Sheldon Axler

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Adversary

• Who is your adversary in this class?
• Prof. Vianey Villamizar
• Yourself
• The Material

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Last Year Students Comments

• 005 I was worried at first about taking this
  class from Professor Vilimazar, but I was
  pleasantly suprised. He did an excellent job of
  explaining things, seemed genuinely concerned
  that we learn the material, and was always
  avaliable to help. He is by far the best math
  Professor I have had at BYU. Thanks for a great
  learning experience.
• 002 I didn't rate this class very high because I
  haven't been able to focus on the material and
  therefore didn't enjoy it. I guess that's mainly
  my fault...
• 005 Dr. Villamizar is a very considerate and
  helpful teacher. His testimony radiates in his
  teaching and his actions. I am also impressed
  with the way he sets the class up, especially the
  homework system he employs. I'll admit, though,
  that I had a hard time following the concepts in
  class, and spent a lot of time "home-schooling"
  myself in this course.
• 005 Frankly, I would NOT recommend him to even my
  worst enemies.
• I also feel that he makes the course more
  difficult than it needs to be
• 002 Great class. I was inspired by his love of
  the material. At first I found the class very
  tasking, but his enthusiasm gradually won me over
  and I found myself enjoying the assignments and
  lectures.

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Motivation to Learn

• Love of Learning
• The more I consider what learning is, the more I
  see it as a sacred privilege, an act of wonder. I
  believe that when we are learning we feel most
  alive. When we are learning we feel closest to
  God Russ Osguthorpe, 1996

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My Challenge

• Love of Learners
• If we want to influence learners for good, we
  should not merely love to teach we should love
  each person we teach.
• Teaching, No greater Call, 1999

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Pres. G. B. Hinckley 1992

• This institution is unique. It is remarkable. It
  is a continuing experiment on a great premise
  that a large complex university can be
  first-class academically while nurturing an
  environment of faith in God and the practice of
  Christian principle.
• You are testing whether academic excellence and
  belief in the Divine can walk hand in hand.
• And the wonderful thing is that you are
  succeeding in showing that this is possible. Not
  only that it is possible , but that it is
  desirable and the products of this effort show in
  your lives qualities that are not otherwise
  attainable. BYU Devotional Oct 13, 1992

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Pres. G. B. Hinckley

• Here we are doing what is not done in any other
  major university of which I am aware.
• We are demonstrating that faith in the almighty
  can accompany and enrich scholarship in the
  secular. It is more than an experiment. It is an
  accomplishment.