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MATH 221: Calculus II
4.00 Credits
University of Scranton
(Prerequisite: MATH 114)Topics from calculus and analytic geometry including applications of the definite integral, calculus of transcendental functions, methods of integration, improper integrals, sequences and series.
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MATH 222: Calculus III
4.00 Credits
University of Scranton
(Prerequisite MATH 221)Topics from calculus and analytic geometry including parametric equations, vectors, space analytic geometry, partial derivatives and multiple integrals.
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MATH 222 - Calculus III
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MATH 284: Special Topics
1.00 - 4.00 Credits
University of Scranton
Topics, prerequisites, and amount of credit will be announced prior to preregistration.
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MATH 284 - Special Topics
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MATH 299: (Q,W) Introduction to Mathematical Proof
4.00 Credits
University of Scranton
(Prerequisite: MATH 221 or permission of the instructor).A writing-intensive introduction to the construction, analysis, and methods of mathematical proof. Topics include propositional and predicate logic, sets, relations, functions, recursion, mathematical induction, and counting arguments with the emphasis on writing and analyzing mathematical proofs about these topics.
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MATH 299 - (Q,W) Introduction to Mathematical Proof
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MATH 310: Applied Probability and Mathematical Statistics
4.00 Credits
University of Scranton
(Prerequisite: MATH 221)Basic concepts of probability theory, random variables, distribution functions, multivariable distributions, sampling theory, estimation, confidence intervals, hypothesis testing, linear models and analysis of variance.
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MATH 310 - Applied Probability and Mathematical Statistics
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MATH 320: Chaos and Fractals
3.00 Credits
University of Scranton
(Prerequisite: One math course beyond MATH 221 and one CMPS course or equivalent experience)Study of chaotic dynamical systems and fractal geometry. Topics from discrete dynamical systems theory include iteration, orbits, graphical analysis, fixed and periodic points, bifurcations, symbolic dynamics, Sarkovskii’s theorem, the Schwarzian derivative, and Newton’s method. Topics from fractal geometry include fractal, Hausdorff, and topological dimension, L-systems, Julia and Mandelbrot sets, iterated function systems, the collage theorem, and strange attractors.
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MATH 325: (W) History and Philosophy of Mathematics
3.00 Credits
University of Scranton
(Prerequisites: MATH 221 and either MATH 142 or a MATH course above 298)A survey of major developments in mathematics from ancient through modern times. In addition to the mathematics, this course focuses on the context in which these results were discovered as well as the lives of the mathematicians. Topics may include development of numeral systems, Euclidean and non-Euclidean geometry, algebra, calculus, number theory, real analysis, logic and set theory. Offered fall of odd-numbered years only.
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MATH 325 - (W) History and Philosophy of Mathematics
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MATH 330: Actuarial Mathematics
3.00 Credits
University of Scranton
(Prerequisite: MATH 221)Theory of interest, accumulation and discount, present value, future value, annuities, perpetuities, amortizations, sinking funds, and yield rates.
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MATH 341: Differential Equations
4.00 Credits
University of Scranton
(Prerequisite: MATH 222)Treatment of ordinary differential equations with applications. Topics include: first-order equations, first-order systems, linear and non-linear systems, numerical methods, and Laplace transforms. Computer-aided solutions will be used when appropriate.
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MATH 345: Geometry
3.00 Credits
University of Scranton
(Prerequisite: MATH 299)Euclidean, non-Euclidean, and projective geometry. Transformations and invariants. Offered in the fall of even-numbered years only.
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MATH 345 - Geometry
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