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Course Criteria
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4.00 Credits
Further topics in single-variable calculus, including techniques of integration; applications of integration; convergence of sequences and series; parameterized curves; and polar coordinates. Prerequisites: MATH F251X.
Prerequisite:
MATH F251X UF C- OR MATH F200X UF C- OR FABP X
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4.00 Credits
Multivariable calculus. Topics include vectors in 2- and 3-dimensions; differential calculus of functions of several variables; multiple integration; vector calculus, including Green's and Stokes' Theorem; and applications. Prerequisites: MATH F252X.
Prerequisite:
MATH F252X UF C- OR MATH F201X UF C- OR FBCP X
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3.00 Credits
Emphasis on proof techniques with topics including logic, sets, cardinality, relations, functions, equivalence, induction, number theory, congruence classes and elementary counting. In addition, a rigorous treatment of topics from calculus or a selection of additional topics from discrete mathematics may be included. Prerequisites: MATH F252X (may be taken concurrently). Offered Spring
Prerequisite:
(MATH F251X UF C- OR MATH F200X UF C- ) (AND MATH F252X UF C- Concurrent OR MATH F201X UF C- )
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1.00 - 6.00 Credits
No course description available.
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3.00 - 12.00 Credits
No course description available.
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3.00 Credits
Nature and origin of differential equations, first order equations and solutions, linear differential equations with constant coefficients, systems of equations, power series solutions, operational methods, and applications. Prerequisites: MATH F253X.
Prerequisite:
MATH F202X UF C- OR MATH F253X UF C-
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3.00 Credits
Topics selected from such fields as Euclidean and non-Euclidean plane geometry, affine geometry, projective geometry, and topology. Prerequisites: MATH F265; MATH F314. Recommended: MATH F253X. Offered Spring Even-numbered Years
Prerequisite:
MATH F314 UF C- (AND MATH F215 UF C- OR MATH F265 UF C- )
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3.00 Credits
Logic, counting, sets and functions, recurrence relations, graphs and trees. Additional topics chosen from probability theory. Prerequisites: MATH F252X.
Prerequisite:
MATH F201X UF C- OR MATH F252X UF C-
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3.00 Credits
Direct and iterative solutions of systems of equations, interpolation, numerical differentiation and integration, numerical solutions of ordinary differential equations, and error analysis. Prerequisites: MATH F302 or MATH F314. Recommended: Knowledge of programming. Offered Fall
Prerequisite:
MATH F302 UF C- OR MATH F314 UF C-
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3.00 Credits
Linear equations, finite dimensional vector spaces, matrices, determinants, linear transformations and characteristic values. Inner product spaces. Prerequisites: MATH F252X.
Prerequisite:
MATH F201X UF C- OR MATH F252X UF C-
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