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MATH 338: Linear Models in Statistics with Applications spring
3.00 - 4.00 Credits
Lehigh University
Least square principles in multiple regression and their interpretations; estimation, hypotheses testing, confidence and prediction intervals, modeling, regression diagnostic, multicollinearity, model selection, analysis of variance and covariance; logistic regression. Introduction to topics in time series analysis such as ARMA, ARCH, and GARCH models. Applications to natural sciences, finance and economics. Use of computer packages. Prerequisite: MATH 12 or 231. (MA)
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MATH 338 - Linear Models in Statistics with Applications spring
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MATH 340: Design and Analysis of Algorithms spring
3.00 Credits
Lehigh University
Algorithms for searching, sorting, counting, graph and tree manipulation, matrix multiplication, scheduling, pattern matching and fast Fourier transforms. Abstract complexity measures and the intrinsic complexity of algorithms and problems in terms of asymptotic behavior; correctness of algorithms. Prerequisites: MATH 22 and MATH 261, or consent of the department chairperson. (MA)
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MATH 340 - Design and Analysis of Algorithms spring
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MATH 341: Mathematical Models and Their Formulation spring
3.00 Credits
Lehigh University
Mathematical modeling of engineering and physical systems with examples drawn from diverse disciplines. Emphasis is on building models of real world problems rather than learning mathematical techniques. Prerequisite: MATH 205. (MA)
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MATH 341 - Mathematical Models and Their Formulation spring
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MATH 342: Number Theory
3.00 - 4.00 Credits
Lehigh University
A survey of elementary and nonelementary algebraic and analytic methods in the theory of numbers. Includes the Euclidean algorithm, Diophantine equations congruences, quadratic residues, primitive roots, number-theoretic functions as well as one or more of the following topics: distribution of primes, Pell's equation, Fermat's theorem, partitions. Prerequisite: MATH 301 or consent of the department chair. (MA)
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MATH 342 - Number Theory
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MATH 343: Introduction to Cryptography
3.00 - 4.00 Credits
Lehigh University
Classical elementary cryptography: Caesar cipher, other substitution ciphers, block ciphers, general linear ciphers. Fast random encryption (DES and AES: Advanced Encryption Standard). Public key systems (RSA and discrete logs). Congruences, modular arithmetic, fast exponentiation, polynomials, matrices. Distinction between polynomial time (primality), Subexponential time (factoring) and fully Exponential computation (elliptic curves). Introduction to sieving and distributed computation. Prerequisite: Permission of instructor. (MA)
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MATH 343 - Introduction to Cryptography
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MATH 350: Special Topics fall-spring
3.00 Credits
Lehigh University
A course covering special topics not sufficiently covered in listed courses. Prerequisite: consent of the department chair. May be repeated for credit. (MA)
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MATH 350 - Special Topics fall-spring
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MATH 371: Readings fall-spring
1.00 - 3.00 Credits
Lehigh University
The study of a topic in mathematics under appropriate supervision, designed for the individual student who has studied extensively and whose interests lie in areas not covered in the listed courses. Prerequisite: consent of the department chair. May be repeated for credit (MA)
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MATH 371 - Readings fall-spring
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MATH 374: Statistical Project
3.00 Credits
Lehigh University
Supervised field project or independent reading in statistics or probability. Prerequisite: consent of the department chair. (MA)
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MATH 374 - Statistical Project
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MATH 391: Senior Honors Thesis fall-spring
3.00 Credits
Lehigh University
Independent research under faculty supervision, culminating in a thesis presented for departmental honors. May be repeated once for credit. Prerequisite: consent of chair (MA)
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MATH 391 - Senior Honors Thesis fall-spring
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MATH 43: Survey of Linear Algebra fall
3.00 Credits
Lehigh University
Matrices, vectors, vector spaces and mathematical systems, special kinds of matrices, elementary matrix transformations, systems of linear equations, convex sets, introduction to linear programming. (MA). Students may not receive credit for both MATH 61 & 43.
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MATH 43 - Survey of Linear Algebra fall
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