Mark R. Woodard grew up the son of an IUP mathematics professor in Indiana, Pa., where he studied mathematics and computer science as an undergraduate, while spending lots of time in the natatorium. Next, he headed to Bloomington, Indiana (the other Indiana University) for an M.S. and a Ph.D. Dr. Woodard then came to Furman, where he has been since 1989 with the exception of a short sabbatical in Philadelphia visiting Bryn Mawr, and a year in the West Indies on a Fulbright. He enjoys teaching a variety of courses, but especially the advanced algebra and geometry courses. He has been the chair of the mathematics department since 2011.

Name Title Description


Finite Mathematics

Topics include: set theory, combinatorics, probability, statistics, matrix algebra, linear programming, Markov chains, graph theory, and mathematics of finance. A student cannot receive credit for this course after credit has been received for MTH-260 or any mathematics course numbered greater than MTH-302.


Integrated Precalc/Calc I

Introduction to the theory and methods of differential calculus. Topics include functions, graphs, limits, continuity and derivatives. May not be enrolled on a pass-fail basis.


Integrated Precalc/Calc II

Introduction to applications of the derivative and the theory and applications of the definite integral. Topics include: trigonometric functions and their derivatives, applications of derivatives, antiderivatives, the definite integral and applications of the integral.


Calc for Life & Social Science

Introduction to the methods of differential and integral calculus with an emphasis on applications in the management, life, and social sciences. Topics include limits and continuity, differentiation and integration of functions of one variable, exponential and logarithmic functions, and applications.


Analytic Geometry/Calculus I

First course in the standard calculus sequence. Introduction to the theory, methods, and applications of differential calculus and an introduction to the definite integral. Topics include: algebraic and trigonometric functions, limits and continuity, rules for differentiation, applications of the derivative, antiderivatives, and the definition and basic properties of the definite integral.


Analytic Geometry/Calculus II

The second course in the standard calculus sequence. An introduction to the logarithmic and exponential functions, the applications of the definite integral, techniques of integration, indeterminate forms, improper integrals, numerical methods, and infinite series.


Vectors and Matrices

Introduction to the theory of vectors and matrices. Among the topics included are: vectors, vector operations, the geometry of Euclidean space, systems of equations, matrices, matrix operations, special transformations, eigenvalues, and applications of matrix theory.


Vector Calculus

Introduction to multivariate and vector calculus. Topics include vector functions and the differential and integral calculus of functions of several variables including Green?s Theorem and Stokes? Theorem.


Modern Geometry

Development of Euclidean and non-Euclidean geometries. Topics include axiom systems, models, congruence theorems, parallel postulates, and the philosophical and historical background to geometry.


Linear Algebra & Matrix Theory

Study of finite dimensional real vector spaces, linear transformations, determinants, inner product spaces, eigenvalues and eigenvectors.


Topics in Algebra

An in-depth investigation of selected topics in abstract algebra.

Mark R. Woodard is interested in low-dimensional topology and knot theory. He is often found writing the solutions manuals for the Briggs/Cochran Calculus series of textbooks.

Indiana University
Indiana University
Indiana University of Pennsylvania

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