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MATH 311 Introduction to Numerical Methods

MATH 311 Introduction to Numerical Methods. A Great and Enjoyable Class!!!! WELCOME. Math 311 – 1. Elementary Linear Algebra. Fall Semester 2004. Professor: Vianey Villamizar Class: 3:00 - 3:50 p.m. MWF 175 JSB Office: 366 TMCB Email/Phone: vianey@math.byu.edu / 422-1754

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MATH 311 Introduction to Numerical Methods

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  1. MATH 311Introduction to Numerical Methods A Great and Enjoyable Class!!!! WELCOME

  2. Math 311 – 1 Elementary Linear Algebra Fall Semester 2004 Professor: Vianey Villamizar Class: 3:00 - 3:50 p.m. MWF 175 JSB Office: 366 TMCB Email/Phone: vianey@math.byu.edu / 422-1754 Web page: www.math.byu.edu/~vianey Office Hours: M-W 5:00-6:00 (office), Fr 4:00-5:00 (Math lab) or by appointment. Text: Numerical Analysis, Seventh Edition, R. Burden and J. Faires, Brooks/Cole 2001

  3. South America

  4. 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 (4 years)

  5. 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 • Math 343. Elementary Linear Algebra • Research interest: • Numerical and Asymptotic Methods Applied to Linear and Nonlinear Partial Differential and Integral Equations • Wave Propagation: Acoustic, Electromagnetic, and Elastic Scattering.

  6. 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

  7. 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. “

  8. Aims of a BYU Education • Spiritually Strengthening. • Intellectually Enlarging. • Character Building, Leading to • Lifelong Learning and Service

  9. 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

  10. Syllabus

  11. 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 won’t be accepted. To make up for this, your four lowest homework grades will be dropped

  12. 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 haven’t 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.

  13. Test Difficulty • Best advice: 1 Corinthians 10:13 …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.

  14. Levels of Learning • Level 1: Remember. • Level 2: Understand. • Level 3: Apply • Level 4: Analyze • Level 5: Evaluate • Level 6: Create

  15. 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 Learning at the University Level

  16. 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. • Don’t 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

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

  18. Previous Years 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.

  19. 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

  20. 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

  21. 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.

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