## Department of Mathematics and Philosophy

### Lia Petracovici

Department of Mathematics and Philosophy

#### Associate Professor

**Education:**

Ph.D. (2003), University of Illinois (Complex Dynamics, Aimo Hinkkanen)

M.S. (1996), Truman State University (Mathematics)

B.S. (1989), Babes-Bolyai University, Romania (Mathematics)

**Contact Information:**

(309) 298-1346

482 Morgan Hall

l-petracovici@wiu.edu

**Fall 2019 Office Hours:**

Monday, Wednesday, Friday: 11:00 am-12:00 pm

Wednesday: 9:00 am-10:00 am

**Courses Taught:**

Math 101: Concepts of Mathematics

Math 123: Modeling with Mathematical Functions

Math 128: Precalculus Algebra

Math 129: Precalculus Trigonometry

Math 134: Calculus II

Math 137: Applied Calculus I

Math 138: Applied Calculus II

Math 211: Euclidean Geometry

Math 231: Calculus III

Math 255: Discrete Mathematics for Computer Science

Math 311: Linear Algebra

Math 333: Ordinary Differential Equations

Math 407: Number Theory Concepts in School Mathematics

Math 433: Complex Variables and Applications

Math 435: Introduction to Real Variables

Math 551: Methods of Classical Analysis

Stat 171: General Elementary Statistics

Stat 276: Introduction to Probability and Statistics

**Research Interests:**

**Research:** My main interests lie in the areas of analysis and dynamical systems. In particular, I am interested in the local dynamics of holomorphic systems.

**Research with graduate students:** I welcome inquiries about research opportunities in areas close to my interests from motivated graduate students in our program.

**Research with undergraduate students:** I am interested in guiding research projects that explore topics beyond the curriculum, or investigate applications of concepts studied in courses such as differential equations or complex analysis. In some cases, we will work on an actual problem (or a special case that is more accessible); in others, we will learn about the background and the reasons why a problem is interesting.

**Selected Publicatons:**

- Petracovici, B.,
**Petracovici, L.**, & Zaharescu, A. (2009). Divisors, measures, and critical functions.*Proceedings of the Indian Academy of Sciences: Mathematical Sciences, Vol. 119*, no. 3, 351-368. -
**Petracovici, L**. (2006). Non-accessible critical points of certain rational functions with Cremer points.*Annales Academiae Scientiarum Fennicae, Mathematica, Vol. 31,*no. 1, 3-11. -
**Petracovici, L.**(2005). Cremer fixed points and small cycles. Transactions of the American Mathematical Society, Vol. 357, no. 9, 3481-3491. - Petracovici, B.,
**Petracovici, L.**, & Zaharescu, A. (2004). A new distance between Galois orbits over a number field.*Mathematical Sciences Research Journal, Vol. 8,*1-15.

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