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Course Criteria
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4.00 Credits
Prereq: Trigonometry (high-school) and MAC 1105. Major topics: polynomial, rational, and other algebraic functions, their properties and graphs, polynomial and rational inequalities, exponential and morganatic functions , their properties and graphs, conic sections, binomial Theorem 6.Trigonometric functions, their properties and graphs, inverse trigonometric functions, their properties and graphs, trigonometric identities, conditional trigonometric equations, solutions of triangles, vector algebra, parametric equations, polar coordinates, applications.
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3.00 Credits
Prereq: MAC 1105. Major topics: limits, continuity, differential techniques of logarithmic and exponential functions, application of derivatives, curve sketching; integration and appli-cations.
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4.00 Credits
Prereq: MAC 1147 or the combination of MAC 1114 and MAC 1105. Major topics: limits; continuity; differentiation techniques; introduction to integration; curve sketching; areas between curves; theory augmented by applications from a variety of disciplines.
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4.00 Credits
Prereq: MAC 2311. Major topics: techniques of integration, approximate integration and Simpson's Rule, application of the integral to volumes, moments, centroids, etc., conic sections, parametric equations and polar coordinates, infinite series.
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5.00 Credits
Prereq: MAC 2312. Major topics: solid analytic geometry, vectors in 3-space, partial derivatives and applications, multiple integrals, line and surface integrals, topics from plane solid analytic geometry, directional derivatives and curvature, differential calculus of functions of several variables.
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3.00 Credits
Major topics: matrix operations; systems of linear equations and inequalities; linear programming and the simplex method; symbolic logic; probability theory; counting techniques; elementary graph theory; descriptive statistics.
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3.00 Credits
Prereq: MAC 2313. Programming skills required. Major topics: solutions to scalar nonlinear and finite difference equations; numerical differentiation and integration; numerical solution of initial values problems for ordinary differential equations, error and convergence; general interpolation problems, interpolation and quadrature, numerical solutions of algebraic and transcendental equations.
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3.00 Credits
Prereq: MAC 2313. Major topics: permutations and combinations, binomial coefficients, inclusion-exclusion, linear recurrence relations, generating functions, block designs, difference sets, existence and non-existence theorems, systems of distinct representatives, introduction to graphs.
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3.00 Credits
Prereq: Three semesters of mathematics. Mathematics content and methodology related to currently recommended curricula, grades K-7.
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4.00 Credits
Prereq: MAC 2313. Major topics: Curriculum materials and methods used in teaching in middle and secondary schools.
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