The topological structure of the real line, compactness, connectedness, functions, continuity, uniform continuity, differentiability, sequences and series of functions, uniform convergence, introduction to Lebesgue measure and integration. Prerequisites: MTH 211 and MTH 212, or permission of the instructor. MTH 153 is strongly encouraged.

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics.

Techniques of integration, geometric applications of the integral, differential equations and modeling, infinite series and approximation of functions. Written communication and applications to other sciences and social sciences motivate course content. Prerequisite: MTH 111 or the equivalent.

Techniques of integration, geometric applications of the integral, differential equations and modeling, infinite series and approximation of functions. Written communication and applications to other sciences and social sciences motivate course content. Prerequisite: MTH 111 or the equivalent.

Rates of change, differentiation, applications of derivatives including differential equations and the fundamental theorem of the calculus. Written communication and applications to other sciences and social sciences motivate course content.