Expository Lectures

University of Utah § Department of Mathematics

Expository Lectures by Andrejs Treibergs

$Fluid Boundary Layer Velocities$

USAC Lecture: ODE for Boundary Layer

http://www.math.utah.edu/~treiberg/Boundary_Layer.pdf

$Penrose tiling by thick and thin rhombs$

USAC Lecture: Penrose Tiling

http://www.math.utah.edu/~treiberg/PenroseSlides.pdf

$Polygon Illustrating Pick's Theorem$

USAC Lecture: Area of Lattice Point Polygons

http://www.math.utah.edu/~treiberg/PickSlides.pdf

$Picture of von Koch Curve illustrating self-similarity$

USAC Lecture: Fractals, Self-Similarity and Hausdorff Dimension

http://www.math.utah.edu/~treiberg/FractalSlides.pdf

$Picture of Parallel Line Segments Illustrating Rey-Pastor-Santalo Theorem$

USAC Lecture: Helly's Theorem with Applications in Combinatorial Geometry

http://www.math.utah.edu/~treiberg/HellySlides.pdf

$Picture of Bottom half of Catenoid$

USAC Lecture: Minimal Surfaces Nonparametric Theory

http://www.math.utah.edu/~treiberg/MinimalSurfacesSlides.pdf

$Picture of Curvilinear Triangle on a Surface$

USAC Lecture: Geometry meets Analysis: Gauss Bonnet Theorem

http://www.math.utah.edu/~treiberg/GaussBonnetSlides.pdf

$Picture of Jensen's Inequality$

USAC Lecture: Inequalities of Analysis

http://www.math.utah.edu/~treiberg/InequalitiesSlides.pdf

$Deformation of Surface Patch$

USAC Lecture: Mapping the Earth

http://www.math.utah.edu/~treiberg/MappingtheEarthSlides.pdf

$Deformation of Surface Patch$

USAC Lecture: Deforming Surfaces

http://www.math.utah.edu/~treiberg/DeformingSurfacesSlides.pdf

$Bricard Octahedron Flexing$

USAC Lecture: Bending Polyhedra

http://www.math.utah.edu/~treiberg/BendingPolyhedraSlides.pdf

$Generalized Cone$

USAC Lecture: Geometry of Bending

http://www.math.utah.edu/~treiberg/BendingSlides.pdf

$Pyramid from Face to Origin in Polyhedron$

USAC Lecture: Constructing Polyhedra

http://www.math.utah.edu/~treiberg/PolyhedraSlides.pdf

$Grim Reaper$

USAC Lecture: Heat Equation & Curvature Flow

http://www.math.utah.edu/~treiberg/CurvFlowSlides.pdf

$Elastic rings of equal length$

Applied Mathematics Lecture: Elastic Rings and Nanotubes

http://www.math.utah.edu/~treiberg/ElasticNano2010.pdf

$Arc of circle is shorter of two curves of equal area$

ERD Lecture on Calculus of Variations I: The Direct Method

http://www.math.utah.edu/~treiberg/DirectMethodSlides.pdf

$Stereographic Projection onto the Two Sphere$

ERD Lecture on Geometry of Surfaces I & II

http://www.math.utah.edu/~treiberg/ERD_1-22-2010.pdf

$Minkowski Linear Combination of Two Sets$

USAC Lecture on Mixed Area and the Isoperimetric Inequality.

http://www.math.utah.edu/~treiberg/MixedAreaSlides.pdf

$Counting eigenvalues of the flat torus$

GSAC Lecture on Heraring the Shape of a Manifold.

http://www.math.utah.edu/~treiberg/HearManifoldSlides.pdf

$Needle dropped onto floor with parallel cracks$

REU Lecture on Integral Geometry & Geometric Probability

http://www.math.utah.edu/~treiberg/IntGeomSlides.pdf

$Convex hulls of sets of ideal points of the poincare disk$

ERD Lecture on Intrinsic Geometry

http://www.math.utah.edu/~treiberg/IntrinsicSlides.pdf

$Steiner Symmetrization and Applications$

Steiner Symmetrization and Applications

http://www.math.utah.edu/~treiberg/Steiner/SteinerSlides.pdf

$The Stong Isoperimetric Inequality of Bonnesen$

The Stong Isoperimetric Inequality of Bonnesen

http://www.math.utah.edu/~treiberg/isoperim/Bonn.pdf

$The hyperbolic plane and its immersions into R3$

The Hyperbolic Plane and its Immersions into R³

http://www.math.utah.edu/~treiberg/Hilbert/Hilber.ps

Inequalities that imply the isoperimetric inequality.

The Geometry of Perspective Drawing on the Computer

Last updated 8 - 3 - 22.