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Course Criteria
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3.00 Credits
Systems of linear equations, vector spaces, linear dependence, bases, dimension, linear mappings, matrices, determinants and quadratic forms. F, S, Su. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 220 OR HONS 215
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3.00 Credits
Theoretical concepts applicable to the theory of computing. Topics covered will be from the areas of formal logic and proofs, sets, matrix algebra, counting and Boolean algebra. F, S NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 105 OR MATH 111 OR MATH 120 OR HONS 115 OR MATH 220 OR HONS 215 OR
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4.00 Credits
The continuation of MATH 120, covering techniques and applications of integration, parametrized curves and polar coordinates, infinite sequences and series, power series and Taylor's Theorem. F, S, Su. NOTE: Students may not receive credit toward graduation for both MATH 220 and HONS 215. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
( MATH 105 AND MATH 115 ) OR MATH 120 OR HONS 115 OR
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4.00 Credits
Geometry of two- and three-dimensional spaces, limits and continuity of functions of several variables, vector-valued functions, partial derivatives, directional derivatives, Lagrange multipliers, multiple integrals, line integrals, Green's theorem and surface integrals. F, S. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 220 OR HONS 215
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5.00 Credits
Multidimensional coordinate systems, vectors, matrices, matrix and vector operations, eigenvalues and eigenvectors, matrix groups and commutators, vector-valued functions, partial derivatives, directional derivatives, multiple integrals, line and surface integrals, vector calculus, Taylor series, Fourier series and transforms, a survey of ordinary and partial differential equations motivated by applications in chemistry. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
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3.00 Credits
Mathematical methods for computing numerical solutions to various problems will be studied, together with computer software for applying these methods, both interactively and by writing programs. Topics covered will include the effects of rounding and error in machine arithmetic, methods for finding roots, numerical differentiation and integration and approximation of functions. F. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 203 OR MATH 220
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1.00 Credits
A laboratory course intended to accompany MATH 245. Students will be introduced to a modern software environment for interactive mathematical computation and programming. Laboratory exercises designed to be completed within the scheduled 150 minutes of laboratory time will be assigned each week. Additional programming assignments to be completed outside the laboratory will also be given. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions.
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3.00 Credits
Course topics will include descriptive statistics, probability, probability distributions, estimation, hypothesis testing, correlation and simple linear regression. Statistical quality control, analysis of variance and other topics will be introduced as time permits. A statistics software package will be used. F, S, Su. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 111 OR MATH 120 OR HONS 115 OR HONS 215 OR MATH 220 OR
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3.00 Credits
This course is intended to provide a transition from the calculus sequence to more advanced courses requiring an ability to do proofs. Topics include elementary propositional logic, set theory, mathematical induction, functions and relations. F, S. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 203 OR MATH 221
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3.00 Credits
An introduction to algebraic structures. Topics will include groups, rings and fields. F, S. NOTE: Please refer to the appropriate academic catalog for additional course information concerning prerequisites, co-requisites and course restrictions..
Prerequisite:
MATH 203 AND MATH 295
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