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Course Criteria
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3.00 Credits
In-depth study of works not covered in earlier courses. Prerequisite: LT 301 or 302 or permission of instructor. (U) (3 credits)
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3.00 Credits
Directed reading in Latin. Consult head of department before registering. (U/G) (1, 2, 3)
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3.00 Credits
This course provides students with the necessary mathematical background to successfully complete a calculus course or a course that has calculus as a major topic. Topics include solving equations and inequalities, exponents, factoring, complex numbers, and functions: linear, quadratic, polynomial, rational, exponential, logarithmic, and trigonometric. Students who have successfuly completed any other mathematics course (MA106 or above) will not be given credit for MA 102.? Must not be taken pass/fail. Prerequisite: high school algebra and appropriate score on the Butler mathematics placement test. (U) (3 credits)
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3.00 Credits
The beginning calculus course for properly prepared students. Topics include differentiation, integration, elementary differential equations, exponential and logarithmic functions, trigonometric functions. Applications are emphasized. Prerequisite: MA 102 or equivalent. (U) (5)
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3.00 Credits
Calculus and Analytic Geometry II-Continuation of MA 106. Topics include methods of integration, improper integrals, infinite series, conic sections and polar coordinates. Prerequisite: MA 106. (U) (4 credits)
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3.00 Credits
This course introduces students to the concepts and methods of calculus and the mathematics of finance.? Topics include interest, future and present annuity values, differentiation, integration, exponential and logarithmic functions, elementary differential equations, functions of several variables, partial derivatives and extrema of functions of several variables. Prerequisite: MA 101 or equivalent. (U) (3 credits)
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3.00 Credits
Introduces students to the concepts and methods of higher mathematics with an emphasis on techniques of mathematical proof. Topics include foundations of logic, set theory, relations, partial orders, well-ordering, isomorphisms, induction, equivalence relations, and functions. Corequisite or prerequisite: MA 106 or equivalent. (U) (3 credits)
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3.00 Credits
Proofs by induction, simple diagonalization proofs, combinatorial theory, relations and functions, inclusion/exclusion principle, derangements, recurrence relations and generating functions. Prerequisite: MA 106. (U) (3 credits)
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3.00 Credits
Graphs and subgraphs, planar graphs, graph coloring and chromatic polynomials, trees, weighted trees and prefix codes, transport networks, matching theory. Prerequisite: MA 205. (U) (3 credits)
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3.00 Credits
Continuation of MA107. Topics include vector calculus, multivariable calculus, partial differentiation, multiple integration, line integrals and Green's Theorem. Prerequisite: MA 107. (U) (3 credits)
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