Dual Enrollment

MATH 1554

MATH 1554 is a four-credit course that introduces students to linear algebra. Students will explore fundamental concepts of this subject that has an essential role in applications of linear algebra to many areas of industry, science, and engineering. We will explore systems of linear equations and a systematic method for solving them, subspaces, determinants, eigenvalues, orthogonality, and the singular value decomposition. Applications of linear algebra to computer graphics, economics, Google PageRank, and least-squares. 
 

MATH 2551

MATH 2551 is a four-credit course that extends concepts that students encountered in linear algebra and differential and integral calculus to functions of several variables. This course explores the calculus of vector functions, derivatives, and integrals of functions of several variables, and integral theorems that are widely used in engineering and physics. Applications that are explored include constrained optimization, center of mass, Jacobians, line integrals, circulation, and flux.
 

MATH 3012

MATH 3012 is a three-credit course that explores counting methods, solving linear recurrences, graph and network models, related algorithms, and combinatorial designs. Applications that are explored include sorting, spanning trees, shortest paths, Eulerian circuits, graph coloring, planarity testing and network flows. Students will explore fundamental concepts and algorithms in computer science and engineering that have applications in complex practical problems in areas such as scheduling, vehicle routing, supply-chain optimization, and resource allocation. A final project gives students an opportunity to explore the application of applied combinatorics to a topic of their choice.
 

MATH 2552

MATH 2552 is a four-credit course that focuses on the techniques used to model and analyze relationships between changing quantities. As rates of change are often represented mathematically by derivatives, such models often involve equations relating an unknown function and one or more of its derivatives. Such equations are differential equations, which are the focus of this course. Students will apply techniques of solving differential equations to solve first and higher order differential equations that model spring-mass systems, heat flow, mechanics, and population biology. A final project gives students an opportunity to explore the application of differential equations to a topic of their choice.