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MTH 312: Linear Algebra
3.00 Credits
Nazareth College
This course covers Vector spaces, systems of linear equations (both real and abstract) linear transformations and matrices, determinants, eigenvalues and eigenvectors. Prerequisites & Notes Adv Codes: AR Prereq: MTH 201 with a C grade or better or permission of instructor Normal Offering Cycle: Spring Credits: 3
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MTH 312 - Linear Algebra
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MTH 314: Introduction to Probability
3.00 Credits
Nazareth College
Topics in this course include counting techniques, axiomatic probability theory; discrete and continuous sample spaces; random variables, distribution functions, probability density and mass functions; expectation; moment-generating functions; normal, binomial, and Poisson distributions; and covers joint and continuous distributions. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 with a C grade or better Normal Offering Cycle: Spring Credits: 3
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MTH 314 - Introduction to Probability
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MTH 320: Numerical Analysis
3.00 Credits
Nazareth College
Topics include error analysis, Taylor polynomials, interpolation, approximation of functions, numerical integration and differentiation, solutions of systems of linear equations, numerical solutions of differential equations, and other topics as time permits. Intensive use of computer software is an integral part of this class. Prerequisites & Notes Adv Code: R Prereq: MTH 201 with a C grade or better Credits: 3
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MTH 320 - Numerical Analysis
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MTH 390: Special Topics in Mathematics
3.00 Credits
Nazareth College
Choice of topics reflects the special interest of students and instructors. Examples are chaos and fractals, topology, complex variables, game theory. May involve undergraduate research. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 with a C grade or better or permission of instructor. Credits: 3
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MTH 390 - Special Topics in Mathematics
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MTH 399: Seminar in Problem Solving
3.00 Credits
Nazareth College
Students will be actively involved in investigating collections of non-routine problems from a variety of sources. Prerequisites & Notes Adv Codes: AR Prereq: Linear Algebra and Junior status or permission of instructor Normal Offering Cycle: Spring Credits: 1
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MTH 399 - Seminar in Problem Solving
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MTH 413: Real Analysis
3.00 Credits
Nazareth College
This course provides a mathematically rigorous introduction to the analysis of real-valued functions of one variable. Real Analysis is an in-depth study of the real numbers as complete, ordered field. Topics include, but are not limited to, continuity and compactness, the intermediate value and extreme value theorems, Bolzano/Weierstrass, Heine/Borel theorems; monotone convergence, convergence and uniform convergence of sequences of continuous functions, differentiation and the mean value theorem. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 and MTH 213 both a with C grade or better Normal Offering Cycle: Alternate Springs Credits: 3
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MTH 413 - Real Analysis
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MTH 414: Modern Algebra
3.00 Credits
Nazareth College
Algebraic structures, groups, rings, integral domains, fields, polynomial rings. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 with a C grade or better Normal Offering Cycle: Alternate Springs Credits: 3
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MTH 414 - Modern Algebra
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MTH 415: Number Theory
3.00 Credits
Nazareth College
Number theory is a study of the properties of the integers. Topics include divisibility, factorization, numerical functions, algebra of congruence classes, Diophantine equations, primitave roots, and quadratic reciprocity. Applications in cryptography, primality testing, and zeta functions as time allows. Prerequisites & Notes Adv Codes: R Prereq: MTH 201W with a C grade or better Normal Offering Cycle: Spring Credits: 3
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MTH 415 - Number Theory
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MTH 417: Foundations of Geometry
3.00 Credits
Nazareth College
A study of Euclidean and non-Euclidean geometries. Focus is on the axiomatic method and the significance of the discovery of non-Euclidean geometry. Students investigate various aspects and applications of geometry and related mathematical topics through projects. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 with a C grade or better Normal Offering Cycle: Spring Credits: 3
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MTH 417 - Foundations of Geometry
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MTH 425: Mathematical Modeling
3.00 Credits
Nazareth College
A study of the relationship between mathematics and other disciplines. Mathematical models for interesting and significant problems in these disciplines are constructed, analyzed and interpreted. Intensive use of computers and technology is an integral part of the class. Prerequisites & Notes Adv Codes: R Prereq: MTH 201 with a C grade or better Credits: 3
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MTH 425 - Mathematical Modeling
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