MTH-303 |
College Geometry and Related Topics |
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A study of geometry, including euclidean and non-euclidean geometries, axiomatic systems, transformations and | ||||
isometries, and symmetry. There is a focus on exploration, conjecture, and basic geometric arguments( proofs). |
3.00 |
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MTH-304 |
Number Theory |
An introduction to the theory and properties of integers. Topics include prime numbers, divisibility and factorization, modular arithmetic, the Euclidean algorithm, linear Diophantine equations, congruencies, the |
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Chinese remainder theorem, and applications in cryptography. |
3.00 |
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MTH-305 |
Sets, Relations and Functions |
An introduction to the basic techniques of creating mathematical arguments( proofs). Application of proof writing techniques and an in-depth study of fundamental concepts and principles that are used throughout mathematics: logic, sets, relations, functions, and infinity through topics such as Cartesian product, partitions, equivalence |
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relations, mathematical induction, set indexing, special functions and transfinite numbers. |
3.00 |
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MTH-307 |
Real Analysis I |
An in-depth analysis of properties of the real number line, higher-dimensional Euclidean spaces and general metric spaces. Limits, sequences and series are studied. The basic theory of functions of a real variable is |
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considered, including continuity, derivatives and integrals. |
3.00 |
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MTH-401 |
Abstract Algebra |
A course in abstract mathematics including the integers, groups, normal subgroups, quotient groups, finite abelian groups, rings, integral domains, ideals, quotient rings, fields, homeomorphisms, isomorphism, real and |
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complex numbers, and polynomials. |
3.00 |
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MTH-407 |
Probability Theory |
Probability as a basis for statistical theory and inference. Distributions of random variables, conditional probability, Bayes ' rule, statistical independence, mathematical expectation, probability distributions, probability densities and distribution functions of random variables, joint distributions for two or more random variables, |
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and moment-generating functions. |
3.00 |
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MTH-408 |
Mathematical Statistics |
An in-depth study of the mathematical underpinnings of statistics and the analysis of data. Topics include sampling distributions, estimation theory and applications, hypothesis testing theory and applications, maximum |
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likelihood estimators, regression and correlations, analysis of variance, and nonparametric tests. |
3.00 |
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MTH-437 |
Special Topics |
An in-depth study of a specialized subject area. The selected topic varies based on student / faculty interest and current research advances. Topic, course structure, credit, and instructor will be announced prior to |
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preregistration. Course may be repeated if topic is different. |
3.00 |
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MTH-439 |
Independent Study |
Investigation of selected topics. |
3.00 |
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MUS-100 |
Voices of Gwynedd Glee Club |
This course is designed to train and develop vocal talents by study, practice and actual choral performance. Student in this course are required to attend all course dates, rehearsals( one evening per week and some weekends) and Voices of Gwynedd performances. Uniform and materials fees apply. |
1.00 |
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MUS-104 |
Music Appreciation I |
This course is designed to discover listening skills that will sharpen the student ' s perception of music, involving some study of its element: melody, harmony, rhythm and meter, tempo and dynamics, timbre and form- and a knowledge of how these are combined in the works heard; information about the great composers, their lives and careers from music of earlier times to the Baroque period is provided. |
3.00 |
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MUS-107 |
MUS 107- Introduction to Music Therapy |
An Introduction to Music Therapy course provides a foundational overview of the profession, covering its history, core principles, and clinical applications for diverse populations. It includes guest presentations from Certified Music Therapists. |
3.00 |
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