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(S) Classic text selected by profesors in the program. Prerequisite: HUMN 351 or permission of faculty.

Prerequisites: HUMN351
Hours
1

(S) The senior "capstone" seminar for History and Religious Studies majors (but any students may take the course).

Hours
3

(F, S)This course is designed to familiarize students with the questions asked by disciplines of the Social Sciences. Thematic in approach, this course will examine common questions as well as the requisite theories and approaches employed by sociologists, anthropologists, political scientists, cultural geographers, psychologists, Appalachian Studies scholars, criminal justice specialists, and economists.

Hours
3

(S) Emphasis on the concepts of place, region, spatial interaction, landscape interpretation and landscape evolution. Deals with the graphic media of geography - maps, graphs, scale models. Case studies illustrate geographic principles to familiarize students with various parts of the world. For future teachers as well as students of the natural and social sciences.

Hours
3

(F, S) The purpose of this course is to enhance basic mathematical skills and to prepare students for subsequent mathematics courses. This course is a prerequisite for those who do not qualify for enrollment in MATH 110, MATH 131, or MATH 133. The topics of the course will include, but are not limited to: fractions, decimals, and percents; operations with real numbers, including hierarchy of operations; exponents, roots, and radicals; polynomial arithmetic with emphasis on factoring; solving linear equations and linear inequalities; formula manipulation; and word problems involving any of these topics. The three hours credit for this transitional course counts for fulltime status but not toward graduation requirements.

Prerequisites: Tested out of MATH 099
Hours
3

The purpose of this course is to enhance basic mathematical skills and to prepare students for subsequent mathematics courses. This course is a prerequisite for those who do not qualify for enrollment in Math 110, Math 131, or Math 133. Students entering Union College (any freshman or those transfer students without a transferable mathematics course) with a Math ACT score of 18 or less will be placed in this course. The topics of the course will include, but are not limited to: fractions, decimals, and percents; operations with real numbers, including hierarchy of operations, exponents, roots, and radicals; polynomial arithmetic with emphasis on factoring; solving linear equations and linear inequalities; formula manipulation; and word problems involving any of these topics. This course does not satisfy General Education Requirements in mathematics. This course may not be used to satisfy distributional requirements for any other major program or area.

Hours
3

(F, S) Selected topics from consumer mathematics, set theory, counting methods, probability, statistics, systems of linear equations, graphs and solutions of linear and quadratic equations using graphical methods. Modeling and problem solving techniques will be illustrated to give students an understanding of the nature and applications of mathematics. Designed as a terminal couse for the non-major.

Hours
3

(F, S, Sum) Material from MATH 101 is assumed. This course contains topics selected from: applications of linear and quadratic equations; solving inequalities; solving inequalities, including quadratic inequalities; graphing equations; graphs of functions; combining functions and finding inverse functions; exponential and logarithmic functions; polynomial functions; and systems of equations.

Hours
3

(F) Right triangle ratios, trigonometric functions, graphing trigonometric functions, identities, inverse trigonometric functions, laws of Sines and Cosines, polar coordinates and complex numbers, analytic geometry.

Hours
3

(F) The purpose is to develop understanding by emphasizing mathematical concepts and connections. The course is based on NCTM standards. Students use manipulatives in the study of concepts and procedures for whole numbers, fractions, ratios, integers and real numbers. Problem solving, math journals, alternative assessment, structure, calculators. This course no longer fulfills the Liberal Education Math requirement in the Liberal Education Core. Prerequisite: fulfillment of the Liberal Education Core Math requirement.

Prerequisites: MATH110, or MATH131, or MATH241
Hours
3

(S) The purpose is to develop understanding by emphasizing mathematical concepts and connections. The course is based on NCTM standards. Students use manipulatives in the study of concepts and procedures for statistics, probability, measurement, and geometry and algebraic concepts. Classification, change, symmetry, transformations, tessellation, math portfolios, computers. Prerequisite: MATH 203.

Prerequisites: MATH203
Hours
3

(F, S) Review of algebra, limits, the derivative, differentiation of algebraic and trigonometric functions, applications of the derivative, extrema, and the antiderivative. Prerequisite: MATH 131 and 133 or permission of instructor.

Prerequisites: MATH131, or MATH133
Hours
4

(F, S) The integral, applications of the integral, logarithmic and exponential functions, trigonometric functions, hyperbolic functions, techniques of integration L'Hospital's Rule and indeterminate forms, and improper integrals. Prerequisite: MATH 241.

Prerequisites: MATH241
Hours
4

(S) Topics selected from polar coordinates, vectors, solid analytic geometry, partial differentiation, multiple integration, infinite series, and differential equations. Prerequisite: MATH 242.

Prerequisites: MATH242
Hours
4

(F) Mathematical Proof: conjunctions, disjunction, implications, truth tables. Proofs using traingles, polygons, and circles. Transformations, area, space geometry, and non-Euclidean geometries. Prerequisite: MATH 131, 133 or 204.

Prerequisites: MATH131, or MATH133, or MATH204
Hours
3

(F) Logic, methods of proof, sets, relations, functions, equivalences, combinatorics, induction, recursion, elementary number theory, linear programming, and an introduction to mathematical modeling. Prerequisite: MATH 131 or permission of the instructor. (Even years only).

Prerequisites: MATH131
Hours
3

(F) Vector algebra in Euclidean spaces, lines and planes in space, matrices and linear equations, abstract vector spaces. Prerequisites: MATH 131 or permision of the instructor. (Odd Years Only).

Prerequisites: MATH131
Hours
3

(S) Vector spaces, subspaces, linear independence, linear transformations, determinants, inner product spaces, orthogonality, and unitary transformations. Prerequisite: MATH 331. (Odd Years Only).

Prerequisites: MATH331
Hours
3

(S) An introduction to abstract algebra including groups, subgroups, quotient groups, isomorphism theorems, rings, and ideals. Prerequisite: MATH 241 or permission of the instructor.

Prerequisites: MATH241
Hours
3

(F) Theoretical probability using point set approach, probability as a frequency ratio; probability for finite sample spaces; conditional probability; joint and continuous distributions, binomial distribution; Baye's theorem; statistical applications of probability; theory of sampling and variance. Prerequisites: or co-requisite MATH 242.

Prerequisites: MATH242
Hours
3

(F) Complex numbers, analytic functions, elementary functions of a complex variable. Cauchy's formula, Liouville's theorem, Laurent's series, residues, contour integration, conformal mapping, physical applications. Prerequisite: MATH 243. (Even Years Only).

Prerequisites: MATH243
Hours
3

(F) Sets and functions, topological ideas, LUB property, real sequences, continuity, mean value theorems, integration, definite integrals, Taylor's theorems, improper integrals, convergence of infinite series, power series, improper integrals with parameter. Prerequisite: MATH 243 (Odd years only.)

Prerequisites: MATH243
Hours
3

(S) Differential equations of first order and first degree, differential equations of first order and higher degree, differential operators and linear differential equations, reduction of order. Prerequisite: MATH 242. (on demand)

Prerequisites: MATH242
Hours
3

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