|
| |
ITM WORKSHOPS
|
Title: |
Curving the Real Line and the Plane: Curves
and Surfaces in the Three-dimensional Space |
|
Instructor: |
Dr.Marcelo
Llarull, Associate Professor
Department of Mathematics |
| Description: |
This an elementary introduction to the geometry of curves and surfaces in
R3,
one the branches of Mathematics that makes a direct appeal to intuition.
How can a curve be obtained form a straight line? Can any surface in R3
be obtained by shaping a rectangle from the plane? How do the
inhabitants of the surface know if they are on a sphere or on the plane?
What are the "straight lines" on a surface? This is a presentation
of some of the most basic and important concepts in Differential Geometry in
an attempt to answer some of those questions. |
|
Title: |
Applications of Graphs |
|
Instructor: |
Dr.Sandeep
Maheshwari, Associate Professor
Department of Mathematics |
| Description: |
This workshop focuses on application of graph theory
techniques to model and solve numerous exciting and interesting problems. This area is a
major component of discrete mathematics and provides a rich collection of interesting and
exciting real-life problems from social, economic, biological and environmental
disciplines. Among the topics included are the Euler’s and Hamilton circuits,
shortest path and maximum flow problems, graph coloring, etc. Popular models of food
chains, tournament graphs, one-way street, postman delivery, trash pickup problem will be
discussed. Emphasis will be placed on the formulation aspect; solution algorithms will be
provided and some of them will be implemented using computers. |
|
Title: |
Optimization via Graphical Visualization |
|
Instructor: |
Dr.
Sandeep
Maheshwari, Associate Professor
Department of Mathematics. |
|
Description: |
This course will provide the bridge between the algebraic/functional
optimization (maximization and minimization) methods and the graphical visualization of
these procedures. Methods and algorithms for optimization will be developed using
graphical reasoning with numerous examples. Among the topics included will be
maxima/minima of functions (calculus level) of single as well as multiple variables,
unconstrained optimization (search methods such as gradient and Newton’s method) and
some constrained optimization methods. Implementation will provide exposition to novel
uses of linear algebra (matrices); appropriate computer software and graphing calculators
will be used. |
|
Title: |
The Nuts and Bolts of Counting |
|
Instructor: |
Dr.
Melkamu
Zeleke, Assistant Professor
Department of Mathematics |
|
Description: |
This workshop focuses on exploration of basic counting techniques and
their applications. The topics include permutations and combinations (with or without
repetition), recurrence relations, and inclusion-exclusion principle. Emphasis will be
given to application of these techniques of counting to popular counting problems such as
Rabbits on an Island, The Tower of Hanoi, and The Hatcheck Problem. Appropriate computer
software will be used.
|
|
|