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MATH 251: Differential Calculus
4.00 Credits
Oregon Institute of Technology
(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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MATH 251 - Differential Calculus
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MATH 252: Integral Calculus
4.00 Credits
Oregon Institute of Technology
(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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MATH 252 - Integral Calculus
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MATH 253N: Sequences and Series
4.00 Credits
Oregon Institute of Technology
(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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MATH 253N - Sequences and Series
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MATH 254N: Vector Calculus I
4.00 Credits
Oregon Institute of Technology
(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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MATH 254N - Vector Calculus I
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MATH 255: Vector Calculus II
4.00 Credits
Oregon Institute of Technology
(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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MATH 255 - Vector Calculus II
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MATH 261: Introduction to Linear Algebra
3.00 Credits
Oregon Institute of Technology
(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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MATH 261 - Introduction to Linear Algebra
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MATH 311: Introduction to Real Analysis
4.00 Credits
Oregon Institute of Technology
(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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MATH 311 - Introduction to Real Analysis
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MATH 321: Applied Differential Equations I
3.00 Credits
Oregon Institute of Technology
(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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MATH 321 - Applied Differential Equations I
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MATH 322: Applied Differential Equations II
4.00 Credits
Oregon Institute of Technology
(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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MATH 322 - Applied Differential Equations II
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MATH 327: Discrete Mathematics
4.00 Credits
Oregon Institute of Technology
(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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MATH 327 - Discrete Mathematics
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