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### MATH3912 - Projects

The Junior Seminar is, for the most part, based on
projects that students need to complete, either individually or as a
group. Here you find a list of projects, who is responsible for completing
them, and - if available - their presentations.

### First Presentations

The following topics represent condensed reviews of topics you should already
be familiar with, selected from *Interpolation and Approximation* by Philip
J. Davis. You need to expand on a topic, add plenty of examples, and create a
"paper" plus a class presentation in LaTeX (10 – 20 minutes) on the subject in question.

For a summary of **definitions** and major theorems, **part 1**, check
here for the TeX version or
here for the PDF version.

For a summary of **definitions** and major theorems, **part 2**, check
here for the TeX version or
here for the PDF version.

- [pdf] [tex]
** **Megan ZWOLINSKI: *Determinants and Solutions of Linear Systems of Equations
*(1.1 and 1.2)
- [pdf] [tex]
** **Kristen ZYBURA: *Linear Vector Spaces* (1.3)

* ***Homework 1** [pdf]
[tex] - [pdf] [tex]
** **Jillian GAGLIONE: *Hierarchy of Functions *(1.4)

* Homework 2* [pdf]
[tex] - [pdf] [tex]
** **Lorianne RICCO: *Lipschitz Functions* (1.5)

* Homework 3* [pdf]
[tex] - [pfd]
[tex] Ericka SUNNERVILLE:
*Differentiable Functions* (1.6)

**Homework 4 **[pdf]
[tex] - [pdf]
[tex] Antoinne JACKSON:
*Infinitely Differentiable Functions* (1.7)
- [pdf] [tex] Manny DEVERA:
*Real Analytic Functions* (1.8)
- [pdf] [tex] Mercedes LUECK:
*Functions Analytic in the Complex Plane and Entire
Functions* (1.10 and 1.11)
- [pdf] [tex] Micky:
*Polynomials* (1.11)
- [pdf] [tex] Kerri PISANO:
*Linear Functionals and Conjugate Space* (1.12)

** Homework 5 **[pdf]
[tex] - [pdf] [tex] Paul RANDALL:
*Miscellaneous*
- Malik Bailey:
*TBA*

**Bert WACHSMUTH**: LaTeX and Computer Tech Support