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MATH 332: Elements of the Theory of Rings and Fields
3.00 Credits
Loyola Marymount University
3 Semester Hours Rings, integral domains, fi elds, ideals, factor rings, polynomial rings, and unique factorization domains. Prerequisite: MATH 331.
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MATH 332 - Elements of the Theory of Rings and Fields
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MATH 350: Advanced Linear Algebra
3.00 Credits
Loyola Marymount University
3 Semester Hours Vector spaces over an arbitrary fi eld, dual spaces, Cayley- Hamilton theorem, invariant subspaces, canonical forms for matrices, inner product spaces over C, the spectral theorem. Prerequisites: MATH 248 and 250.
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MATH 350 - Advanced Linear Algebra
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MATH 355: Methods of Applied Mathematics
3.00 Credits
Loyola Marymount University
3 Semester Hours Series solutions and special functions, orthogonal functions and Fourier series, linear partial differential equations and boundaryvalue problems. Prerequisites: MATH 234 and 245.
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MATH 355 - Methods of Applied Mathematics
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MATH 357: Complex Variables
3.00 Credits
Loyola Marymount University
3 Semester Hours Complex variables, analytic functions, Laurent expansions and residues, evaluation of real integrals by residues, integral transforms. Prerequisite: MATH 234.
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MATH 357 - Complex Variables
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MATH 360: Introduction to Probability and Statistics
3.00 Credits
Loyola Marymount University
3 Semester Hours Descriptive statistics, probability, discrete and continuous random variables, limit theorems, sampling distributions, estimations of parameters, nonparametric methods, hypothesis testing, linear regression. Prerequisite: MATH 123 or 132.
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MATH 360 - Introduction to Probability and Statistics
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MATH 366: Discrete Methods
3.00 Credits
Loyola Marymount University
3 Semester Hours An introduction to graph theory; trees; coloring; Eulerian circuits. Combinatorics; permutations and combinations; recurrence relations. Prerequisite: MATH 248.
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MATH 366 - Discrete Methods
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MATH 393: Mathematics Internship
1.00 - 3.00 Credits
Loyola Marymount University
1-3 Semester Hours Internship conducted in an industrial, business, government, or educational setting involving applied mathematical work or teaching. This will involve a research project (or paper) coordinated jointly with an onsite supervisor and a Department faculty member. Enrollment is subject to available opportunities and approval of the Department Chairperson.
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MATH 393 - Mathematics Internship
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MATH 397: Putnam Competition Preparation
0.00 - 1.00 Credits
Loyola Marymount University
0-1 Semester Hours A study of problem-solving techniques and skills to prepare students to participate in the William Lowell Putnam Mathematical Competition, a prestigious national exam. The course may be repeated for credit. Grading is Credit/No Credit. The course may not be used to satisfy any of the requirements of the mathematics major or minor. Consent of instructor required.
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MATH 397 - Putnam Competition Preparation
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MATH 398: Special Studies
1.00 - 4.00 Credits
Loyola Marymount University
1-4 Semester Hours
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MATH 398 - Special Studies
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MATH 399: Independent Studies
1.00 - 4.00 Credits
Loyola Marymount University
1-4 Semester Hours
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MATH 399 - Independent Studies
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