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Course Criteria
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3.00 Credits
This is a course intended primarily for students in the IS&T program. It covers various topics from discrete mathematics. Note: This course is for non-majors only. It cannot be used to fulfill any requirements towards a degree in mathematics.
Prerequisite:
MATH 1031 (C077) with a grade of C- or higher or permission of the instructor
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4.00 Credits
This is a third semester calculus course that involves both theory and applications. Topics include vectors in two or three dimensions, lines and planes in space, parametric equations, vector functions and their derivatives, functions of several variables, partial derivatives, multiple integrals, line integrals, and Green’s, Divergence and Stokes’ theorems.
Prerequisite:
MATH 1042 (0086)/1942 (H096) with a grade C or better or transfer credit for MATH 1042 (0086)
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3.00 Credits
A survey of various mathematical recreations, puzzles, and games. Emphasis on developing problem-solving techniques many of which are applicable in other fields.
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3.00 Credits
This course covers vectors and vector spaces, matrices, determinants, systems of linear equations, linear transformations, inner products and orthogonality, and eigenvectors and eigenvalues. Note: Only one course, Math 2101 (0147) or Math 2103 (0148), can be credited towards graduation.
Prerequisite:
MATH 1042 (0086) with a grade of C or higher or transfer credit for MATH 1042
Corequisite:
MATH 2043 (0127)
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4.00 Credits
Topics in this course include: systems of linear equations; matrix algebra; determinants; fundamental subspaces; linear transformations; eigenvalues and eigenvectors; inner products; orthogonality; and spectral theory. Included is a computational lab component that uses activities and applications designed to promote understanding of the basic concepts from algebraic, symbolic, and geometric viewpoints. Note: Only one course, Math 2101 (0147) or Math 2103 (0148), can be credited towards graduation.
Prerequisite:
MATH 1042 (0086) with a grade of C or higher or transfer credit for MATH 1042
Corequisite:
MATH 2043 (0127)
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3.00 Credits
This is a course designed to introduce students to mathematical abstraction and the language of mathematical proof. Topics include logic, sets, relations, integers, induction and modular arithmetic, functions, and cardinality. This course is highly recommended for students who have not been exposed to mathematical proof and intend to take advanced math courses. Note: Only one of the following courses may be credited towards graduation: Math 2196 (W141); C+IN SC 1166 (0066).
Prerequisite:
MATH 1042 (0086) with a grade of C- or higher or transfer credit for MATH 1042
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3.00 Credits
Divisibility properties of integers, prime factorization, distribution of primes, linear and quadratic congruences, primitive roots, quadratic residues, quadratic reciprocity, simple Diophantine equations, cryptology.
Prerequisite:
MATH 1042 (0086) with a grade of C- or higher or transfer credit for MATH 1042
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3.00 Credits
Counting techniques, axiomatic definition of probability, conditional probability, independence of events, Bayes Theorem, random variables, discrete and continuous probability distributions, expected values, moments and moment generating functions, joint probability distributions, functions of random variables, covariance and correlation. Note: Prior to summer 2010, the course title was “Introduction to Probability Theory.”
Prerequisite:
MATH 1042 (0086) with a grade of C or better or transfer credit for MATH 1042 (0086)
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3.00 Credits
Random sampling, sampling distributions, Student’s t, chi-squared and F distributions, unbiasedness, minimum variance unbiased estimators, confidence intervals, tests of hypothesis, Neyman-Pearson Lemma, and uniformly most powerful tests. Note: Prior to summer 2010, the course title was “Introduction to Mathematical Statistics.”
Prerequisite:
MATH 3031 (0233) or ACT SCI 2101 with a grade of C- or higher or transfer credit for MATH 3031
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4.00 Credits
This course covers counting techniques, axiomatic definition of probability, conditional probability, independence of events, Bayes Theorem, random variables, discrete and continuous probability distributions, expected values, moments and moment generating functions, joint probability distributions, functions of random variables, covariance and correlation. Included is a computational lab component to discuss applications of probability and statistics to solving problems in Computer Science using MATLAB. Note: Only one course, Math 3031 (0233) or Math 3033, can be credited towards graduation.
Prerequisite:
MATH 1042 (0086) with a grade of C or better or transfer credit for MATH 1042 (0086)
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