Carl Lutzer Headshot

Carl Lutzer

Director Honors Program
Honors Program
Academic Affairs
Professor, School of Mathematical Sciences

585-475-5133
Office Hours
M: 3-3:50 pm T: 10-10:50 am W: 3-3:50 pm R: 10-10:50 am
Office Location
Office Mailing Address
2354 Gosnell Building

Carl Lutzer

Director Honors Program
Honors Program
Academic Affairs
Professor, School of Mathematical Sciences

Education

BS, Michigan State University; MA, Ph.D., University of Kentucky

585-475-5133

Personal Links
Areas of Expertise

Currently Teaching

MATH-241
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-241H
3 Credits
This honors course introduces the basic concepts and techniques of linear algebra. Concepts are addressed at a higher level than the standard course in linear algebra, and the topic list is somewhat broader. Topics include linear independence and span, linear functions, solving systems of linear equations using Gaussian elimination, the arithmetic and algebra of matrices, basic properties and interpretation of determinants, vector spaces, the fundamental subspaces of a linear function, eigenvalues and eigenvectors, change of basis, similarity and diagonalization. Students will learn to communicate explanations of mathematical facts and techniques by participating in a collaborative workshop format, and will learn to use MATLAB to solve matrix equations.
MATH-221H
4 Credits
This course is an honors version of MATH-221. It includes an introduction to vectors, surfaces, and multivariable functions. It covers limits, partial derivatives and differentiability, multiple integrals, Stokes’ Theorem, Green’s Theorem, the Divergence Theorem, and applications. Unlike MATH-221, students in this course will often be expected to learn elementary skills and concepts from their text so that in-class discussion can focus primarily on extending techniques, interpreting results, and exploring mathematical topics in greater depth; homework exercises and projects given in this class will require greater synthesis of concepts and skills, on average, than those in MATH-221. Students earning credit for this course cannot earn credit for MATH-219 or MATH-221.