# Applied Mathematics Program

**The Applied Mathematics Major**

**Program description:**

- Applied Mathematics is the mathematics major taken by a student who is already enrolled in another major (such as engineering, physics, chemistry, etc) which has a definite propensity towards mathematical modeling.
- With the additional Applied Mathematics degree, an engineer, physicist, chemist, etc. may have an increased ability to pursue advanced study at the graduate level, or research and development activities in industry, government labs or federally funded contractors, software firms, etc.

The Applied Mathematics major is a great asset and a predictor of success for graduate school; with this major in addition to the specialty major, the student will find the challenges of graduate school much easier to address and overcome, thus fully enjoying the time spent in prestigious graduate programs in his/her core discipline.

**Extra-curricular professional activities and student success:**

- Several Applied Mathematics majors (or Secondary Mathematics majors) received the prestigious
*Goldwater scholarship*. - Presenting at state and/or national mathematics conferences.
- Gaining increased experience through co-op, part-time or internship activities.
- Participating in summer research programs (REU).
- Problem solving from mathematical journals and having their solutions recognized or published.
- Being co-authors in faculty-student publications.

**A selection of past student research topics (which still remain open for further exploration): **Square roots in a prime field, Primitive roots, Direct products in molecular spectroscopy, Special congruences, The quantum harmonic oscillator and the Hermite polynomials, Greatest prime factor – sequences and magmas, Traffic flow simulation, Digitized audio signals modulated with random noise, Quaternions in aerospace science, Maxwell’s equations, Einstein's field equations, Solitary waves, Markov chains and the heat bath Monte Carlo algorithm for the Ising model, The circular vibrating membrane, Fourier series with applications, k-paradoxical graphs, Complex variables: annular and annular-like functions, The Jacobi symbol and cryptography, Counting with transfer matrices, Randomness properties of elliptic curves, Fractal exploration: a look at Mandelbrot and Julia sets in 2 and 3 dimensions, Cellular automata, The logical analysis of paradoxes.

**Other possible student research topics:** Biomathematics - DNA and the theory of twisted curves and surfaces, Topics in cryptography, Low correlation sequences and their applications, Binary sequences and linear complexity, Computational complexity - fast integer multiplication, Game theory – the theory of competitive games, Topics in coding theory, Analogs of Conway’s Game of Life, Water waves propagation in storms, Sudoku and linear programming, Weather masses flow in the northern hemisphere, Theory of oil diffusion through porous soil, Hailstones in tornadoes, Quadratic Diophantine equations and computer architecture.

**Brief:** *Number theory and cryptography, Sequences, Applications to physics, Applications to engineering, Applications to chemistry, Applications to computer science, Applications to business, Algorithms and simulation, Biomathematics, Environmental science, law*

**Placement upon graduation:**

- GRADUATE SCHOOLS: University of Wisconsin-Madison, Northwestern University, Pennsylvania State University, Purdue University, University of Illinois at Urbana-Champaign, Ohio State University, Indiana University of Pennsylvania, Louisiana State University, Wright State University
- INDUSTRY: Epic Systems Software, MITRE Corporation Cyber Security, Westinghouse Electric Company, D.L. Steiner Electrical Engineering consulting, Strand Associates