Differential Equations (MAT387) - This course studies methods for solving ordinary differential equations of first second and higher order. It includes applications, series, systems and numerical techniques. Differential equations are an excellent vehicle for displaying the interrelations between mathematics and the physical sciences. The student can see ways in which the solutions to specific problems have benefited from work of a more abstract nature.
Introduction to Analysis (MAT389) - The real number system. Sequences, limits, and continuous functions in R and R. The concept of a metric space. Uniform convergence, interchange of limit operations. Infinite series. Mean value theorem and applications. The Riemann integral.
Abstract Algebra (MAT392) - This course studies groups, rings, integral domains, fields and the development of various number systems. This course will provide the student with an introduction to the topics of abstract algebra so as to better understand its role in modern mathematics and its applications to other fields. In addition, this course will further develop the student’s problem-solving skills and ability to follow and to construct a rigorous mathematical proof.
Complex Analysis (MAT394) - This is an upper division course covering the following topics: the real number system , Sequences, limits, and continuous functions in R; the concept of a metric space, uniform convergence and the interchange of limit operations. Infinite series, Mean value theorem and applications, and the Riemann integral will also be studied in this one-semester class.
Linear Algebra (MAT396) - This course studies systems of linear equations, vector spaces, linear transformations and matrices. It includes applications and theories. Linear algebra is valuable in illustrating a number of mathematical thinking processes that arise not only in linear algebra, but also in many other mathematical subjects. Understanding these thinking processes greatly reduces the time and frustration involved in learning advanced mathematics as well as in solving mathematical problems in general. It is also useful in solving a variety of problems arising in physics, chemistry, statistics, business and other areas.