Ivan Blank
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Address for
snail mail: Ivan Blank Kansas State University Dept. of Mathematics 138 Cardwell Hall Manhattan, KS 66506-2602 Office: Cardwell Hall 27 Phone: (785) 532-0536 (A bad way to reach me.) E-mail: blanki@ZZZmath.ksu.edu (A good way to reach me.) (Take out the "ZZZ" which is just there to avoid email from robots.) Office Hours: Always on First Day Handouts Check individual course pages |
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Links to Course Pages
Elementary Numerical
Analysis: Math 655
Mathematics for Elementary
School Teachers: Math 320 C
Mathematics for Elementary
School Teachers: Math 320 C. Old page.
Introduction to
Contemporary Mathematics: Math 160 D
Resources for Students
Vector Calc Notes (pdf version) Vector Calc Notes (ps version)First Order ODE Notes (pdf version) First Order ODE Notes (ps version)
Second Order ODE Notes (pdf version) Second Order ODE Notes (ps version)
Curve Formulas (pdf version) Curve Formulas (ps version)
Some Old Cheat Sheets
Cheat Sheet (pdf version) Cheat Sheet (ps version)Advanced Engineering Mathematics Students
Practice Final (pdf version) Practice Final (ps version)Partial Answer Key (pdf version) Partial Answer Key (ps version)
The answer key for the practice final is incomplete. I will add more answers if I have time.
Fourier Series Notes (pdf version) Fourier Series Notes (ps version)
Cheat Sheet for Midterm (pdf version) Cheat Sheet for Midterm (ps version)
Practice Midterm (pdf version) Practice Midterm (ps version)
Answer Key (pdf version) Answer Key (ps version)
Research Interests
• Free Boundary Problems• Elliptic and Parabolic Partial Differential Equations
• Composite Materials
Here is my Curriculum Vitae. (pdf)
Papers
• Sharp results for the regularity and stability of the free boundary in the obstacle problemIndiana University Mathematics Journal Vol. 50, No. 3 (2001), p. 1077--1112. (pdf)
• Boundary regularity and compactness for overdetermined problems (joint with Henrik Shahgholian)
Annali Scuola Normale Superiore di Pisa - Classe di Scienze Vol. 2, No. 4 (2003), p. 787--802. (pdf)
• Eliminating mixed asymptotics in obstacle type free boundary problems
Communications in Partial Differential Equations Vol. 29, No. 7-8 (2004), p. 1167--1186. (pdf)
• A partial classification of the blowups of the singularities in a composite membrane problem
Contemporary Mathematics, 370(2005), p. 11--15. (pdf)
• Convergence of Rothe's method for fully nonlinear parabolic equations (joint with Penelope Smith)
Journal of Geometric Analysis Vol. 15, No. 3 (2005), p. 363--372. (pdf)
• The Hele-Shaw problem as a "Mesa" limit of Stefan problems:
Existence, uniqueness, and regularity of the free boundary (joint with Marianne Korten and Charles Moore)
To appear in TAMS. (pdf)
• Existence, uniqueness, and regularity of the free boundary in the Hele-Shaw problem
with a degenerate phase (joint with Marianne Korten and Charles Moore)
Contemporary Mathematics, 428(2007), p. 33--42. (pdf)
Funding
• Summer 2000: Lift off grant from the Clay Institute. ($12,000)• June 1, 2005 - May 31, 2008: NSF Grant, DMS - 0501770.
Free Boundary Problems Arising in Material Science. ($84,000)
Advisees
• Lacey Huebel: Master's Degree Summer 2007. Final Report: Analysis of solid tumor growth models: Mechanisms of volume loss and slowed growth rate• Taiji Tsutsui: REU Student Summer 2007. Final Report: An introduction to partial differential equations and a problem from composite materials
• Kyle Kinkade: Master's Degree Summer 2008. Final Report: Divergence Form Equations Arising in Models For Inhomogeneous Materials
Education
• Mathematically Correct
is a "web site devoted to the concerns raised by parents and scientists
about the invasion of our schools by the New-New Math and the need to restore
basic skills to math education."
• H.O.L.D.
or Honest Open Logical Debate on math reform is an organization which is also
in favor of more traditional pedagogy in mathematics.
• If want a crash course in some of the history of
the reform movements which have plagued Mathematics over the past century, then
I would suggest A Brief
History of American K-12 Mathematics Education in the 20th Century by David
Klein. (It took me a couple of hours to read, but it is very well written and
very well documented. It should be required reading for all parents and all
educators!)
• A much faster read can be found in James
Milgram's Testimony to the Senate. (Milgram is a professor of Mathematics
at Stanford.)
• For a more general introduction to the decay
within American education I would suggest reading Dumbing Down Our Kids: Why
American Children Feel Good about Themselves but Can't Read, Write, or Add, by
Charles J. Sykes.
Math & Science Links
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MathSciNet
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AMS |
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The Clay Institute |
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Other Math Department Websites Site 1 or Site 2
Other Links
Humar is my own
particular brand of humor. Do not click here if you cannot take a joke!
(Perhaps I should steal a line from South
Park and state that due to
its content, this page should not be viewed by anyone!)
For links to a zillion sites with news,
dictionaries, encyclopedias, and generally information you may want, I suggest
that you click Here.
If you're making a webpage, then this page
on html
may be helpful.
