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MATH 370: Advanced Mathematics for Engineers
3.00 Credits
Saint Louis University-Main Campus
Vector algebra; matrix algebra; systems of linear equations; eigenvalues and eigenvectors; systems of differential equations; vector differential calculus; divergence, gradient and curl; vector integral calculus; integral theorems; Fourier series with applications to partial differential equations. Fall and Spring semesters. Pre-requisite: MATH 355.
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MATH 370 - Advanced Mathematics for Engineers
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MATH 393: Special Topics
0.00 - 3.00 Credits
Saint Louis University-Main Campus
No course description available.
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MATH 393 - Special Topics
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MATH 401: Elementary Theory of Probability
3.00 Credits
Saint Louis University-Main Campus
Counting theory; axiomatic probability, random variables, expectation, limit theorems. Applications of the theory of probability to a variety of practical problems. Credit not given for both MATH 401 and MATH 403. Fall semester. Pre-requisite: MATH 244.
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MATH 401 - Elementary Theory of Probability
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MATH 402: Intro Mathematical Statistics
3.00 Credits
Saint Louis University-Main Campus
Probability and random sampling; distributions of various statistics; statistical procedures, such as estimation of parameters, hypothesis testing, and simple linear regression. Credit not given for both MATH 402 and MATH 403. Spring semester. Prerequisites - MATH 401
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MATH 402 - Intro Mathematical Statistics
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MATH 403: Probability and Statistics for Engineers
3.00 Credits
Saint Louis University-Main Campus
Analyzing and producing data; probability; random variables; probability distributions; expectation; sampling distributions; confidence intervals; hypothesis testing; experimental design; regression and correlation analysis. Credit not given for both MATH 403 and either MATH 401 or MATH 402. Fall and Spring semesters. Prerequisites - MATH 244.
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MATH 403 - Probability and Statistics for Engineers
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MATH 411: Introduction to Abstract Algebra
3.00 Credits
Saint Louis University-Main Campus
Elementary properties of the integers, sets and mappings, groups, rings, integral domains, division rings and fields. Fall semester. Pre-requisite: MATH 315.
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MATH 411 - Introduction to Abstract Algebra
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MATH 415: Number Theory
3.00 Credits
Saint Louis University-Main Campus
Introduction to algebraic number theory. Topics will include primes, Chinese remainder theorem, Diophantine equations, algebraic numbers and quadratic residues. Additional topics will vary from year to year. Offered occasionally. Prerequisite: MATH 411.
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MATH 415 - Number Theory
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MATH 421: Intro to Analysis
3.00 Credits
Saint Louis University-Main Campus
Real number system, functions, sequences, limits, continuity, differentiation, integration and series. Fall semester. Pre-requisite: MATH 244.
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MATH 421 - Intro to Analysis
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MATH 422: Metric Spaces
3.00 Credits
Saint Louis University-Main Campus
Set theory, metric spaces, completeness, compactness, connected sets, category. Spring semester. Pre-requisite: MATH 421.
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MATH 422 - Metric Spaces
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MATH 423: Multivariable Analysis
3.00 Credits
Saint Louis University-Main Campus
Introduction to analysis in multidimensional Euclidean space. Sequences and Series of functions, Differentiability, Integrability, Inverse and Implicit function theorems, Fundamental Theorems of Multivariable Calculus (Green¿s Theorem, Stokes Theorem, Divergence Theorem). Spring semester. Prerequisite: MATH 421.
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MATH 423 - Multivariable Analysis
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