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Course Criteria
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4.00 Credits
(F,W,S)(4-0-4) Theory, computational techniques and applications of the derivative. Prerequisite: MATH 112 with grade "C" or better,or equivalent.
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4.00 Credits
(F,W,S)(4-0-4) Computational techniques for and applications of the definite and indefinite integrals. Prerequisite: MATH 251 with grade "C" orbetter.
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4.00 Credits
(4-0-4) Indeterminate forms and improper integrals. Infinite sequences and series, convergence, power series. Taylor series and applications. This course replaces MATH 254. Prerequisite: MATH 252 with grade "C" orbetter.
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4.00 Credits
(F,W,S)(4-0-4) Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals using rectangular and other coordinate systems. Physical and geometric applications. Prerequisite: MATH 252 with grade "C" orbetter.
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4.00 Credits
(4-0-4) Review of vector functions, space curves, gradients, and directional derivatives. Introduction to vector analysis:vector fields, divergence, curl, line integrals, surface integrals, conservative fields, and the theorems of Gauss, Green and Stokes with applications to force, work, mass, and charge. Prerequisite: MATH 254N with grade "C" orbetter.
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3.00 Credits
(3-0-3) Matrices and matrix operations, systems of linear equations, vectors in a geometric setting, projections, dot products, cross products, inverse matrices, determinants, linear transformations, Eigenvalues, Eigenvectors. Use of MATLAB or equivalent CAS and/or a graphing calculator required. Prerequisite/Corequisite: MATH 251 or instructor consent.
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4.00 Credits
(4-0-4) A one term stand-alone course on topics in real analysis, covering properties of real numbers, completeness axiom, continuity, convergence of sequences and series of numbers, convergence of sequences and series of functions. Emphasis will be placed on proofs. Prerequisite: MATH 253N, with grade "C" orbetter.
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3.00 Credits
(F,W,S)(3-0-3) The first in a two term sequence on the solutions of ordinary differential equations. Introduction to differential equations, first and second order equations with applications.Prerequisite: MATH 252 with grade "C" or better.
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4.00 Credits
(4-0-4) The second in a two term sequence on the solutions of ordinary differential equations. Introduction to systems of equations, the Laplace transform and series solutions. Prerequisite: MATH 321 and MATH 341.
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4.00 Credits
(F,S)(4-0-4) Introduction to proof and mathematical abstraction. Topics include sets, set operations, functions, relations, sequences, series, recurrence relations, mathematical induction, equivalence relations. Prerequisite: MATH 252, or junior standing and MATH 111, both with grade "C" or better.
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