At Widener, undergraduates who major in mathematics are trained in abstract thinking and logical argument, with an emphasis on analysis and problem-solving.
Students can choose from three degree tracks (traditional, secondary education, math/computer science), all starting with core courses before moving into upper-division study that explores more specific topics related to the track chosen.
See below a selection of courses taken by mathematics majors.
MATH 241 Multivariable Calculus
The course covers parametric curves and vectors in the plane and three-space, differentiation of vector functions, motion in space, curvature, functions of several variables, partial derivatives, directional derivatives and gradient, double and triple integrals, area and volume, integration in cylindrical and spherical coordinates, vector fields, line integrals, Green’s theorem, surface integrals, and Stoke’s theorem.
MATH 242 Elementary Differential Equations
Analytical, numerical, and graphical approaches to the solution of linear and nonlinear first order ordinary differential equations are discussed. Solution methods for second and higher order linear equations are treated together with selected applications.
MATH 273 Introduction to Probability
This course introduces the basic concepts of probability, including elementary events, sample spaces, independence, conditional probability, Bayes’ formula, expectation, and random variables. Both discrete and continuous random variables are considered, with examples drawn from games, genetics, coding theory, elementary decision theory, and queuing theory.
MATH 322 Topics in Discrete Mathematics
This course concentrates on algorithmic thinking and proofs. Topics include sets and functions, relations and orders, counting techniques, analysis of algorithms, induction, recurrence relations, elements of the theory of numbers, and graph theory.
MATH 331 Linear Algebra
An introductory treatment of linear algebra, including systems of linear equations, matrices, determinants, vector spaces, linear independence, bases, linear maps, eigenvalues and eigenvectors, together with selected applications.
MATH 341 Advanced Calculus I
This course covers the fundamentals of real analysis: the axioms of the real number system, convergence of sequences and series, the topology of Euclidean spaces, continuity, uniform continuity, and differentiability.
MATH 351 Topics in Geometry
The content varies from year to year to accommodate special interests of instructors and students. Topics may include an axiomatic treatment of synthetic geometry, projective geometry, classical differential geometry, and convex sets.
MATH 352 Point Set Topology
A study of the topology of the real line and of higher dimensional Euclidean spaces serves as a model for the study of metric spaces; these in turn lead to general topological spaces. Particular attention is paid to the notions of compactness, connectedness, completeness, and continuity.
MATH 373 Mathematical Statistics
After a preliminary study of probability spaces, the notions of random sampling theory are introduced. The binomial and the normal distributions are examined in detail, leading to techniques for estimating parameters, determining confidence intervals, and testing hypotheses.
For more information about courses and requirements for mathematics, including the degree tracks, please refer to page 66 in our course catalog.