UNL

UNL campus

Alexandra Seceleanu

Alexandra Seceleanu

Assistant Professor

Teaching | Research and Publications | Selected Talks | Software | Links

 

Curriculum vitae

 

Contact Information

E-mail:

aseceleanu@unl.edu

Office:

338 Avery Hall

Phone:

(402) 472-7253

Mailing
Address:

Department of Mathematics
203 Avery Hall
Lincoln, NE 68588


Teaching

 

I have been awarded a 2013-2014 Certificate of Recognition for Contribution to Students by the UNL Teaching Council and UNL Parents Association.

 

Spring 2017

·     Math 314H – Honors Applied Linear Algebra

Fundamental concepts of linear algebra from the point of view of matrix manipulation, with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, determinants, eigenvalues, orthogonality and quadratic forms.

·     Math 818 - Modern Algebra II

Topics from field theory including Galois theory and finite fields and from linear transformations including characteristic roots, matrices, canonical forms, trace and transpose, and determinants.

Spring 2016

·     Math 918 - Topics in Algebra: The Geometry of Syzygies

An introduction to graded free resolutions viewed from a geometric perspective, following the book by the same title by David Eisenbud.

Fall 2015

·     Math 310 - Introduction to Modern Algebra

An introduction to proofs course designed for mathematics majors and pre-service secondary education majors, covering mathematical induction, elementary number theory, the Fundamental Theorem of Arithmetic, modular arithmetic and elementary notions about rings.

·     Math 314 - Applied Linear Algebra (Matrix Theory)

Fundamental concepts of linear algebra from the point of view of matrix manipulation, with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, determinants, eigenvalues, orthogonality.

Spring 2015

·     Math 310 - Introduction to Modern Algebra

An introduction to proofs course designed for mathematics majors and pre-service secondary education majors, covering mathematical induction, elementary number theory, the Fundamental Theorem of Arithmetic, modular arithmetic and elementary notions about rings.

Fall 2014

 

·     Math 189H - The Joy of Numbers (freshman honors seminar)

A guided exploration into number theory from Euclid’s proof of the infinitude of primes to applications in public key cryptography.

·     Math 310 - Introduction to Modern Algebra

An introduction to proofs course designed for mathematics majors and pre-service secondary education majors, covering mathematical induction, elementary number theory, the Fundamental Theorem of Arithmetic, modular arithmetic and elementary notions about rings.

Summer 2014

 

·     Math 896 – Introduction to Mathematical Literature (graduate seminar)

A hands-on introduction to reading and presenting mathematics for beginning graduate students.

Spring 2014

 

·     Math 314 - Applied Linear Algebra (Matrix Theory)

Fundamental concepts of linear algebra from the point of view of matrix manipulation, with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, determinants, eigenvalues, orthogonality and quadratic forms.

Fall 2013

 

·     Math 918 - Computational Algebra (graduate topics in algebra course)

An introduction to Gröbner bases and their many applications in algebra and geometry, with several homological and combinatorial detours.

 

 

·     Math 435 – Math in the City.  See also previous topics (2006-2012) of this class.

A capstone course in mathematical modeling for issues of current interest. Run in collaboration with the Nebraska Natural Resources Districts. Below are the slides from two presentation I gave regarding my experience with the course:

Spring 2013

 

·     Math 417 - Introduction to Modern Algebra I

An introduction to abstract group theory and some of its applications.

·     Math 208 – Calculus III

Calculus of several variables including vectors and surfaces, parametric equations and motion, functions of several variables, partial differentiation, maximum-minimum, Lagrange multipliers, multiple integration, vector fields, path integrals, Green's Theorem, and applications.

Spring 2012

 

·     Math 310 - Introduction to Modern Algebra

An introduction to proofs course designed for mathematics majors and pre-service secondary education majors, covering mathematical induction, elementary number theory, the Fundamental Theorem of Arithmetic, modular arithmetic and elementary notions about rings.

Fall 2011

 

·     Math 314 - Applied Linear Algebra (Matrix Theory)

Fundamental concepts of linear algebra from the point of view of matrix manipulation with emphasis on concepts that are most important in applications. Includes solving systems of linear equations, vector spaces, determinants, eigenvalues, orthogonality and quadratic forms.

·     Putnam Training Seminar