# Carl Lutzer

## Director Honors Program

Honors Program

Academic Affairs

Professor, School of Mathematical Sciences

585-475-5133

Office Hours

Mondays: 3-5pm (zoom) Tuesdays: 4-5pm (office) Wednesdays: 4-5pm (office)

Office Location

Office Mailing Address

2256 Gosnell Hall

# 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

## Bio

Dr. Carl Lutzer completed his B.S. in Mathematics at Michigan State University in 1993, a M.A. in Mathematics at the University of Kentucky in 1995, and a Ph.D. in Mathematics at the University of Kentucky in 2000, after which he started his career at RIT.

585-475-5133

Areas of Expertise

Partial Differential Equations

Mathematical Modeling

## Currently Teaching

MATH-219

Multivariable Calculus

3 Credits

This course is principally a study of the calculus of functions of two or more variables, but also includes the study of vectors, vector-valued functions and their derivatives. The course covers limits, partial derivatives, multiple integrals, and includes applications in physics. Credit cannot be granted for both this course and MATH-221.

MATH-220

Vector Calculus

1 Credits

This course introduces students to the concepts, techniques, and central theorems of vector calculus. It includes a study of line integrals, conservative vector fields, the flux of vector fields across curves and surfaces, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem. Credit may not be earned for this class if it is earned in COS-MATH-221.

MATH-221H

Honors Multivariable and Vector Calculus

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.

MATH-241

Linear Algebra

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

Honors Linear Algebra

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-495

Undergraduate Research in Mathematical Sciences

1 - 3 Credits

This course is a faculty-directed project that could be considered original in nature. The level of work is appropriate for students in their final two years of undergraduate study.