Jun 15, 2024  
2010-2011 Catalog 
    
2010-2011 Catalog [ARCHIVED CATALOG]

Course Descriptions


 

Mathematics

Courses numbered X37; X97; 300, 400, 500; 417, 445, 517, 545 are described in the University Academic Policies  section of this catalog.

  
  • MATH 304 - Linear Algebra


    Orthogonality and orthogonal bases; linear transformations and the least squares problem; further study of eigenvalues and eigenvectors and their applications; abstract vector spaces and linear transformations.

    Prerequisites & Notes:
    MATH 204, MATH 224

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 312 - Proofs in Elementary Analysis


    Open and closed sets in the line and plane, sequences, least upper bound axiom, continuous functions and their properties. The student is expected to develop competence in proving basic theorems involving these concepts.

    Prerequisites & Notes:
    MATH 226; MATH 209 or MATH 302. Restricted to majors and minors during registration Phase I.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 321 - Mathematics for Technology


    A survey of topics from differential equations and the Laplace Transform. Designed especially for students majoring in engineering technology. Students may count only one of MATH 321 or MATH 331 toward any major or minor in the Department of Mathematics.

    Prerequisites & Notes:
    MATH 125 or MATH 135

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 331 - Ordinary Differential Equations


    First order equations, first order systems (primarily linear), applications and modeling, qualitative reasoning. First course in the 331-432 sequence.

    Prerequisites & Notes:
    MATH 204; MATH 224 recommended or concurrent.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 341 - Probability and Statistical Inference


    Probability, including combinatorial methods, discrete distributions and continuous distributions using integrals. Descriptive statistics and the use of computer statistical package. Statistical inference, including confidence intervals and hypothesis testing.

    Prerequisites & Notes:
    MATH 125 or MATH 135 or MATH 138

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 342 - Statistical Methods


    Statistical techniques including chi-square tests, simple and multiple linear regression, and one-way analysis of variance. Extensive use of a computer statistical package.

    Prerequisites & Notes:
    MATH 341

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 360 - Euclidean and Non-Euclidean Geometry


    Metric development of Euclidean geometry and consideration of non-Euclidean geometries.

    Prerequisites & Notes:
    MATH 125 or MATH 135 or MATH 138; MATH 204 and MATH 209 or MATH 302

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 381 - Teaching K-8 Mathematics I


    Investigations of mathematics topics that focus on logical reasoning, number concepts, and number operations. Emphasis on problem solving, the use of manipulatives and computing technologies, remediation and resource materials, and optimal pedagogical techniques that help students learn quality mathematics. Not acceptable for any departmental major except BA/Ed, Elementary, and does not satisfy GUR requirement except for those who complete the BA/Ed, Elementary.

    Prerequisites & Notes:
    suitable Intermediate Math Placement Test score; C or better in MATH 112 or college intermediate algebra course; and one of ELED 370, ELED 372, SPED 420, or ECE 391. Prerequisites must have been met within the last 5 years.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 382 - Teaching K-8 Mathematics II


    Investigations of mathematics topics that focus on proportional thinking, measurement, and informal geometry. Emphasis on problem solving, the use of manipulatives and computing technologies, remediation and resource materials, and optimal pedagogical techniques that help students learn quality mathematics. Not acceptable for any department major except BA/Ed, Elementary, and does not satisfy GUR mathematics requirement except for those who complete the BA/Ed, Elementary.

    Prerequisites & Notes:
    MATH 381 with a C or better

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 383 - Teaching K-8 Mathematics III


    Investigations of mathematics topics that focus on probability and statistics. Emphasis on problem solving, the use of manipulatives and computing technologies, remediation, assessment and resource materials, and optimal pedagogical techniques that help students learn quality mathematics. Not acceptable for any departmental major except BA/Ed, Elementary.

    Prerequisites & Notes:
    MATH 382 with C or better at WWU

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 401 - Introduction to Abstract Algebra


    Groups, rings, fields, field extensions, Galois Theory.

    Prerequisites & Notes:
    MATH 204 and MATH 209 or MATH 302

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 402 - Introduction to Abstract Algebra


    Groups, rings, fields, field extensions, Galois Theory.

    Prerequisites & Notes:
    MATH 401

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 409 - Putnam Exam Preparation


    Preparation for participation in the annual Putnam Exam. This exam involves mathematical concepts beyond those typically found in standard courses. Questions cut across the bounds of disciplines and are hard. This course covers the basics of the relevant mathematical content, particularly in discrete mathematics, and emphasizes advanced problem-solving techniques. S/U grading.

    Prerequisites & Notes:
    Permission of instructor.

    Credits: 2
    Grade Mode: S/U

    Repeatability: Repeatable
    Maximum Repeatability: No Maximum
    College of Sciences and Technology
    Mathematics
  
  • MATH 410 - Mathematical Modeling


    The construction and solution of mathematical models, using optimization, stability analysis, eigenvalue methods, probability and simulation.

    Prerequisites & Notes:
    MATH 204, MATH 224, MATH 331

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 412 - Mathematical Modeling Competition


    Preparation for participation in the national mathematics modeling competition. Repeatable with no maximum.

    Prerequisites & Notes:
    instructor permission

    Credits: 1
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 415 - Mathematical Biology


    An introduction to mathematical models in biology. Population models, Michaelis-Menten kinetics, models for neuron functioning, pattern formation. Mathematical topics: difference equations, dynamical systems, conservation equations, stochastic models.

    Prerequisites & Notes:
    MATH 224; either MATH 204 and MATH 331, or MATH 203 and MATH 303

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 419 - Historical Perspectives of Mathematics


    History and development of mathematical thought from ancient to modern times. Philosophical, sociological and biographical perspectives.

    Prerequisites & Notes:
    12 credits upper-division math

    Credits: 3
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 420 - Topics in the History and Philosophy of Mathematics


    Concentrated study of a topic or a closely connected group of topics associated with the history and philosophy of mathematics. Students are required to write a substantial expository paper.

    Prerequisites & Notes:
    MATH 312

    Credits: 3
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 421 - Methods of Mathematical Analysis I


    Introduction to metric spaces, properties of functions on metric spaces, compactness and continuity. The student is expected to develop competence in proving basic theorems involving these concepts.

    Prerequisites & Notes:
    MATH 312

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 422 - Methods of Mathematical Analysis II


    Analysis on the real line, including uniform convergence of series, using metric space notions. The student is expected to develop competence in proving theorems involving these concepts.

    Prerequisites & Notes:
    MATH 421

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 424 - Topics in Analysis


    Topics such as pointwise convergence of Fourier series, Gibbs phenomenon, Poisson summability, Dirichlet problem for the disc, Weierstrass approximation theorem. Repeatable to a maximum of 8 credits with various topics.

    Prerequisites & Notes:
    MATH 422

    Credits: 4
    Grade Mode: L

    Maximum Repeatability: 8
    Sciences and Technology
    Mathematics
  
  • MATH 430 - Fourier Series and Applications to Partial Differential Equations


    An introduction to Fourier series and the Fourier transform; applications to boundary value problems including the wave and heat equations.

    Prerequisites & Notes:
    MATH 204, MATH 226, MATH 331

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 431 - Analysis of Partial Differential Equations


    Solutions for general first order and linear second order partial differential equations. Topics from characteristics; propagation of singularities; hyperbolic, and elliptic equations; Cauchy problem; Dirichlet problem; Green’s function; Poisson formula; maximum principle.

    Prerequisites & Notes:
    MATH 204, MATH 225, MATH 226, MATH 312, MATH 331, or equivalent(s).

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 432 - Systems of Differential Equations


    Forced second order equations, systems of nonlinear differential equations, applications.

    Prerequisites & Notes:
    MATH 204, MATH 331; or MATH 203, MATH 303.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 438 - Introduction to Complex Variables


    Differentiation and integration of complex-valued functions; Cauchy integral theorem; calculations of residues.

    Prerequisites & Notes:
    MATH 225, MATH 312.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 441 - Probability


    Discrete and continuous random variables, moment generating functions, multivariate distributions, survey of widely used distributions such as normal, chi-square, gamma, t and F distributions. Emphasis on the theoretical aspects of probability.

    Prerequisites & Notes:
    MATH 204, MATH 224, MATH 312

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 442 - Mathematical Statistics


    Limiting distributions, the Central Limit Theorem, statistical inferences such as confidence intervals, hypothesis testing and chi-square tests, maximum likelihood methods, sufficiency.

    Prerequisites & Notes:
    MATH 441 or equivalent

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 443 - Linear Statistical Models


    Matrix algebra for linear models, multivariate normal distribution, quadratic forms, Gauss-Markov Theorem, estimation in full-rank and less-than-full-rank models, hypothesis testing in full-rank models.

    Prerequisites & Notes:
    MATH 441/541, and either MATH 342 or MATH 442/542, or equivalent(s).

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 483 - Methods of Teaching Secondary Mathematics


    Topics include pre-algebra, algebra, geometry, problem solving and resource materials.

    Prerequisites & Notes:
    minimum of two upper-division math courses, SEC 431, or permission of instructor.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 490 - Senior Project


    Intensive study of an advanced topic in mathematics.

    Prerequisites & Notes:
    Permission of the Department Chair.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 491 - Internship Seminar - Teaching K-8 Mathematics


    Focus on issues and practices related to teaching K-8 mathematics, coordinated with the year-long K-8 classroom internship. Includes the use of ideas, theory, and lesson plans from the Mathematics 381-383 sequence in actual classroom settings, plus opportunity to assess and work with K-8 students on an individual, small group, and whole class basis. Not acceptable for any departmental major except BA/Ed, Elementary. S/U grading.

    Prerequisites & Notes:
    Completion WWU Elementary Education degree requirement

    Credits: 2
    Grade Mode: S/U

    Sciences and Technology
    Mathematics
  
  • MATH 495 - Academic or Industrial Learning and Research Experience in Math


    Participation in a learning program, research project or internship in business, industry, a government agency or academic institution. Oral and written report required. Repeatable to a maximum of 8 cr. S/U grading.

    Prerequisites & Notes:
    20 credits in MATH above the 100-level; department permission

    Credits: 1 TO 4
    Grade Mode: S/U

    Maximum Repeatability: 8
    Sciences and Technology
    Mathematics
  
  • MATH 502 - Abstract Algebra


    Rings, fields, field extensions, Galois Theory.

    Prerequisites & Notes:
    MATH 401 or equivalent

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 503 - Topics in Abstract Algebra


    Topics based on the theory of groups and its applications. Repeatable with various topics.

    Prerequisites & Notes:
    MATH 502 or equivalent

    Credits: 3
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 504 - Abstract Linear Algebra


    Abstract vector spaces, linear transformations, spectral theory.

    Prerequisites & Notes:
    MATH 304 or equivalent

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 510 - Mathematical Modeling


    The construction and solution of mathematical models, using optimization, stability analysis, eigenvalue methods, probability and simulation.

    Prerequisites & Notes:
    MATH 204, MATH 224, MATH 331

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 511 - Advanced Modeling


    Exact and numerical techniques for the development and analysis of models of dynamic processes, including the construction and validation of models.

    Prerequisites & Notes:
    MATH 331; instructor permission

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 515 - Mathematical Biology


    An introduction to mathematical models in biology. Population models, Michaelis-Menten kinetics, models for neuron functioning, pattern formation. Mathematical topics: difference equations, dynamical systems, conservation equations, stochastic models.

    Prerequisites & Notes:
    MATH 224; MATH 204 and MATH 331 or MATH 203 and MATH 303

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 521 - Methods of Mathematical Analysis I


    Introduction to metric spaces, properties of functions on metric spaces, compactness and continuity.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 522 - Methods of Mathematical Analysis II


    Analysis on the real line, including uniform convergence of series, using metric space notions.

    Prerequisites & Notes:
    MATH 521

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 523 - Advanced Calculus of Several Variables


    Parameterization, integration and changes of variables in Euclidean spaces.

    Prerequisites & Notes:
    MATH 304 or equivalent; MATH 521

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 524 - Topics in Analysis


    Topics such as pointwise convergence of Fourier series, Gibbs phenomenon, Poisson summability, Dirichlet problem for the disc, Weierstrass approximation theorem. Repeatable to a maximum of 8 credits with various topics.

    Prerequisites & Notes:
    MATH 522

    Credits: 4
    Grade Mode: L

    Maximum Repeatability: 8
    Sciences and Technology
    Mathematics
  
  • MATH 525 - Topology


    Topological spaces, connectedness, compactness, product and quotient spaces, homotopy.

    Prerequisites & Notes:
    MATH 521

    Credits: 3
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 527 - Real Analysis


    Theory of Lebesgue measure and integration.

    Prerequisites & Notes:
    MATH 522

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 528 - Functional Analysis


    Spaces of functions, linear functionals and their representation, applications.

    Prerequisites & Notes:
    MATH 522

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 530 - Fourier Series and Applications to Partial Differential Equations


    An introduction to Fourier series and the Fourier transform; applications to boundary value problems including the wave and heat equations.

    Prerequisites & Notes:
    MATH 204, MATH 226, MATH 331 or equivalent

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 531 - Analysis of Partial Differential Equations


    Solutions for general first order and linear second order partial differential equations emphasizing geometric properties and integral representations. Topics include characteristics; propagation of singularities; hyperbolic, elliptic, and parabolic equations; Cauchy problem; Dirichlet problem; Green’s function; Poisson formula; maximum principle.

    Prerequisites & Notes:
    MATH 204, MATH 225, MATH 226, MATH 312, MATH 331, or equivalent.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 533 - Advanced Ordinary Differential Equations


    Existence and uniqueness of solutions, stability theory for nonlinear equations, bifurcation.

    Prerequisites & Notes:
    MATH 432 or equivalent; MATH 521

    Credits: 3
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 535 - Nonlinear Optimization


    Nonlinear programming with emphasis on basic theory (including Lagrange multipliers and the Kuhn-Tucker conditions), algorithms for numerical solution of problems, and applications. Introductory dynamic programming, with emphasis on applications and algorithms.

    Prerequisites & Notes:
    MATH 204, MATH 224; CSCI 140 or CSCI 141 or MATH 207.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 538 - Complex Variables


    Differentiation and integration of complex-valued functions, Cauchy integral theorem, residues.

    Prerequisites & Notes:
    MATH 312 or equiv

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 539 - Topics in Complex Analysis


    Topics such as normal families, mapping properties of analytic functions, conformal mappings, fluid flow, Dirichlet and Neumann problems, Julia sets. Repeatable with various topics.

    Prerequisites & Notes:
    MATH 521, MATH 538

    Credits: 3
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 541 - Probability


    Discrete and continuous random variables, moment generating functions, multivariate distributions, survey of widely used distributions such as normal, chi-square, gamma, t and F distributions. Emphasis on the theoretical aspects of probability.

    Prerequisites & Notes:
    MATH 204, MATH 224, MATH 312

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 542 - Mathematical Statistics


    Limiting distributions, the Central Limit Theorem, statistical inferences such as confidence intervals, hypothesis testing and chi-square tests, maximum likelihood methods, sufficiency.

    Prerequisites & Notes:
    MATH 441 or equivalent

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 543 - Linear Statistical Models


    Matrix algebra for linear models, multivariate normal distribution, quadratic forms, Gauss-Markov Theorem, estimation in full-rank and less-than-full-rank models, hypothesis testing in full-rank models.

    Prerequisites & Notes:
    MATH 441/541, and either MATH 342 or MATH 442/542 or equivalent(s).

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 560 - Topics in Geometry


    A study of one or more topics in geometry such as convex sets, polytopes, tilings, integral geometry or combinatorial geometry. Repeatable with various topics.

    Credits: 3
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 562 - Differential Geometry


    Geometry of curves, surfaces and manifolds.

    Prerequisites & Notes:
    MATH 522

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 564 - Graph Theory


    Basic properties of graphs, trees, Eulerian and Hamiltonian circuits, genera of graphs, algorithms, applications.

    Credits: 3
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 566 - Topics in Combinatorics


    Counting techniques, generating functions, coding, coloring and relations with probability theory. Repeatable with various topics.

    Credits: 3
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 570 - Topics in Optimization


    Topics taken from nonlinear programming, calculus of variations or the theory of optimal control. Repeatable with various topics.

    Prerequisites & Notes:
    MATH 304, MATH 521

    Credits: 4
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 573 - Numerical Linear Algebra


    Norms; fundamental matrix types, transformations and factorizations; linear equations, linear least squares; rounding error, condition and stability; the algebraic eigenvalue problem (QR method).

    Prerequisites & Notes:
    MATH 304; ability to program

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 575 - Numerical Analysis


    Polynomial interpolation including splines, orthogonal systems of functions and least squares approximation; numerical differentiation and integration; solution of systems of nonlinear equations and unconstrained optimization.

    Prerequisites & Notes:
    MATH 224, M/CS 375

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics
  
  • MATH 577 - Topics in Numerical Analysis


    Topics from numerical optimization, approximation, linear algebra, quadrature, and the solution of algebraic and differential equations. Repeatable with various topics.

    Prerequisites & Notes:
    MATH 573 or M/CS 375

    Credits: 4
    Grade Mode: L

    Maximum Repeatability: 98
    Sciences and Technology
    Mathematics
  
  • MATH 595 - Teaching Algebra and Precalculus


    Curriculum and instructional support for teaching the algebra and precalculus sequence. S/U grading.

    Credits: 2
    Grade Mode: S/U

    Sciences and Technology
    Mathematics
  
  • MATH 599 - Mathematics Seminar


    Repeatable to a maximum of 4 cr.

    Credits: 1 TO 3
    Grade Mode: L

    Maximum Repeatability: 4
    Sciences and Technology
    Mathematics
  
  • MATH 680 - Internship in Industrial Mathematics


    An internship in industry, government, or other organizations during which participants will work with people in the host organization on problems of a quantitative nature. Number of credits depends on time spent at the host organization. S/U grading.

    Prerequisites & Notes:
    MATH 510, MATH 547, MATH 575 or equivalent(s)

    Credits: 2 TO 8
    Grade Mode: S/U

    Sciences and Technology
    Mathematics
  
  • MATH 690 - Thesis


    Repeatable to a maximum of 4 cr. S/U grading.

    Credits: 1 TO 4
    Grade Mode: S/U

    Repeatability: Repeatable
    Maximum Repeatability: 4 credits
    Sciences and Technology
    Mathematics
  
  • MATH 691 - Required Project


    Repeatable to a maximum of 2 cr. S/U grading.

    Prerequisites & Notes:
    advancement to candidacy

    Credits: 1 OR 2
    Grade Mode: S/U

    Maximum Repeatability: 2
    Sciences and Technology
    Mathematics

Mathematics/Computer Science

Courses numbered X37; X97; 300, 400; 417, 445 are described in the University Academic Policies  section of this catalog.

  
  • M/CS 335 - Linear Optimization


    The optimization of linear functions subject to linear constraints. Linear programming, duality theory, sensitivity analysis, applications.

    Prerequisites & Notes:
    MATH 204; and one of CSCI 140 or CSCI 141 or MATH 207.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics/Computer Science
  
  • M/CS 375 - Numerical Computation


    Computer arithmetic, solution of nonlinear equations and optimization in a single variable; matrix factorization; matrix iterative techniques.

    Prerequisites & Notes:
    MATH 204; CSCI 140, CSCI 141 or MATH 207.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics/Computer Science
  
  • M/CS 435 - Nonlinear Optimization


    Nonlinear optimization with emphasis on basic theory (including Lagrange multipliers and the Kuhn-Tucker conditions), algorithms for numerical solution of problems, and applications. Introductory dynamic programming, with emphasis on applications and algorithms.

    Prerequisites & Notes:
    MATH 204, MATH 224; CSCI 140, CSCI 141 or MATH 207.

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics/Computer Science
  
  • M/CS 475 - Numerical Analysis


    Polynomial interpolation including splines, orthogonal systems of functions and least squares approximation; numerical differentiation and integration; solution of systems of nonlinear equations and unconstrained optimization.

    Prerequisites & Notes:
    MATH 224, M/CS 375

    Credits: 4
    Grade Mode: L

    Sciences and Technology
    Mathematics/Computer Science

Modern and Classical Languages

Courses numbered X37; X97; 300, 400; 417, 445 are described in the University Academic Policies  section of this catalog.

  
  • LANG 410 - Second Language Acquisition: Theory


    Current theories on the process by which a second language is acquired, in comparison and contrast with first language acquisition. Emphasis on the learner, and the many variables that will affect his/her success in the process of learning language.

    Prerequisites & Notes:
    Six credits in one modern foreign language beyond second year; LING 201 or TESL 404 recommended

    Credits: 3
    Grade Mode: L

    Humanities and Social Sciences
    Modern and Classical Languages
  
  • LANG 420 - Second Language Acquisition: Practice


    To be taken prior to field experience. Current trends in the teaching of language as seen in the historical context. Emphasis on hands-on experimentation and practice with techniques appropriate to a variety of levels. Use, analysis and critique of technological aids that may enhance the acquisition process.

    Prerequisites & Notes:
    Six credits in one modern foreign language beyond second year; LANG 410

    Credits: 5
    Grade Mode: L

    Humanities and Social Sciences
    Modern and Classical Languages

Music

Courses numbered X37; X97; 300, 400, 500; 417, 445, 517, 545 are described in the University Academic Policies  section of this catalog.

  
  • MUS 099 - Concert Attendance


    All music pre-majors and majors are required to attend a minimum of eight approved concerts and/or recitals each quarter in residence. S/U grading.

    Credits: 0
    Grade Mode: S/U

    Maximum Repeatability: 99
    Coll/Fine and Performing Arts
    Music
  
  • MUS 100 - Marrowstone Music Festival


    A combined theory, composition, and music literature class keyed to the works students will perform during the Marrowstone Music Festival. Students will gain insight into these works and have the opportunity to develop their own compositional skills. S/U grading.

    Prerequisites & Notes:
    concurrent participation/enrollment in Marrowstone Music Festival

    Credits: 1
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 101 - Fundamentals of Music


    Open to all students. The study of musical construction for those unfamiliar with the fundamentals of notation (pitch and rhythm), major and minor scales, intervals, triads and keys, with particular attention to their practical application.

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 102 - Introduction to Music Theory and Ear Training


    Courses designed to strengthen the prospective music major’s knowledge of fundamental theoretical principles and to introduce the basic aural/reading skills needed to begin the musicianship sequence.

    Prerequisites & Notes:
    MUS 101 or instructor permission

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 103 - Introduction to Music Theory and Ear Training


    Courses designed to strengthen the prospective music major’s knowledge of fundamental theoretical principles and to introduce the basic aural/reading skills needed to begin the musicianship sequence.

    Prerequisites & Notes:
    MUS 102

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 104 - The Art of Listening to Music


    Open to all students. Non-technical basis for enjoyable listening to music; performance practices relating to symphony orchestras, instrumental ensembles, opera, choral groups and solo performance.

    Credits: 3
    Grade Mode: L

    GUR Attributes: HUM

    Coll/Fine and Performing Arts
    Music
  
  • MUS 105 - Music in the Western World


    Open to all students. An introduction to the principal genres, forms and composers of Western music within the framework of a study of the historical stylistic periods.

    Credits: 3
    Grade Mode: L

    GUR Attributes: HUM

    Coll/Fine and Performing Arts
    Music
  
  • MUS 116 - Guitar Technologies: Guitar for Beginners


    This course serves as an introduction to the guitar. Techniques include both basics of plectrum and finger-style technique. Also covered are chords, strumming and finger-style applications for arpeggio playing, leading to basic accompaniment. S/U grading.

    Credits: 2
    Grade Mode: S/U

    College Of Fine and Performing Arts
    Music
  
  • MUS 121 - Aural and Keyboard Skills I


    The development of aural competence in and visual familiarity with the sounds and symbols of the diatonic major and minor system. Exercises and drill in prepared and sight reading, dictation, error detection, accuracy of rhythm and intonation. S/U grading.

    Prerequisites & Notes:
    music major

    Credits: 1
    Grade Mode: S/U

    Coll/Fine and Performing Arts
    Music
  
  • MUS 122 - Theoretical and Analytical Skills I


    Study of and practical experience in using the basic materials of musical construction including notation, melody, harmony, rhythm and form.

    Prerequisites & Notes:
    MUS 101 or equivalent; music major

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 123 - Aural and Keyboard Skills I


    The development of aural competence in and visual familiarity with the sounds and symbols of the diatonic major and minor system. Exercises and drill in prepared and sight reading, dictation, error detection, accuracy of rhythm and intonation. S/U grading.

    Prerequisites & Notes:
    MUS 121; music major

    Credits: 1
    Grade Mode: S/U

    Coll/Fine and Performing Arts
    Music
  
  • MUS 124 - Theoretical and Analytical Skills I


    Study of and practical experience in using the basic materials of musical construction including notation, melody, harmony, rhythm and form.

    Prerequisites & Notes:
    MUS 122; music major

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 125 - Aural and Keyboard Skills I


    The development of aural competence in and visual familiarity with the sounds and symbols of the diatonic major and minor system. Exercises and drill in prepared and sight reading, dictation, error detection, accuracy of rhythm and intonation. S/U grading.

    Prerequisites & Notes:
    MUS 123; music major

    Credits: 1
    Grade Mode: S/U

    Coll/Fine and Performing Arts
    Music
  
  • MUS 126 - Theoretical and Analytical Skills I


    Study of and practical experience in using the basic materials of musical construction including notation, melody, harmony, rhythm and form.

    Prerequisites & Notes:
    MUS 124; music major

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 160 - Preparatory Class Piano


    Designed for students with no keyboard experience. Basic reading skills and technique.

    Credits: 1
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 163 - Class Voice


    Study of basic vocal production skills and repertoire preparation.

    Credits: 2
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 164 - Class Voice and Pedagogy


    Tone production, song repertoire interpretation and pedagogy for non-voice majors.

    Prerequisites & Notes:
    music major

    Credits: 2
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 166A - Introduction to Voice Studies A


    This course will prepare the student for success in solo and choral voice performance at the university level. The student will be exposed to linguistic and musical resources for the preparation and performance of vocal music in various languages. Efficient practice and research techniques are also integral to the course.

    Prerequisites & Notes:
    Admission to music program as a voice pre-major.

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 166B - Introduction to Voice Studies B


    A continuation of MUS 166A with added emphasis on skills necessary for success as a vocal soloist. The student will be exposed to more in-depth linguistic and musical resources such as: recital preparation, performance anxiety, and a general survey of the solo vocal repertoire.

    Prerequisites & Notes:
    Admission to the music program as a voice pre-major, MUS 166A.

    Credits: 2
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 168 - Exploring the World of Teaching Music


    Overview of strategies for effective teaching, rehearsal techniques and strategies, motivational tools, appropriate body language, assertive classroom management. S/U grading.

    Prerequisites & Notes:
    concurrent participation/enrollment in Marrowstone Music Festival

    Credits: 1
    Grade Mode: S/U

    Coll/Fine and Performing Arts
    Music
  
  • MUS 173 - Marrowstone Orchestra


    Study, rehearsal and performance of orchestra literature appropriate to students participating in the Marrowstone Music Festival. S/U grading.

    Prerequisites & Notes:
    concurrent participation/enrollment in Marrowstone Music Festival

    Credits: 1
    Grade Mode: S/U

    Maximum Repeatability: 98
    Coll/Fine and Performing Arts
    Music
  
  • MUS 181 - Marrowstone Chamber Music


    Study, rehearsal and performance of chamber music appropriate to students participating in the Marrowstone Music Festival. S/U grading.

    Prerequisites & Notes:
    concurrent participation/enrollment in Marrowstone Music Festival

    Credits: 1
    Grade Mode: S/U

    Maximum Repeatability: 98
    Coll/Fine and Performing Arts
    Music
  
  • MUS 202 - Jazz: Genesis and Evolution


    Open to all students. Personalities, styles and social/cultural influences on jazz from its beginning to the present day.

    Credits: 3
    Grade Mode: L

    Coll/Fine and Performing Arts
    Music
  
  • MUS 205 - Survey of Non-Western Musical Cultures


    Open to all students. A general introduction to the musical styles of major non-Western cultures, including those of Africa, India, Asia, Indonesia and Eastern Europe. Focus on the role played by music in each society.

    Credits: 3
    Grade Mode: L

    GUR Attributes: ACGM

    Coll/Fine and Performing Arts
    Music
  
  • MUS 211 - Applied Instruction: Organ


    Repeatable for credit.

    Prerequisites & Notes:
    music major; minimum applied performance audition

    Credits: 1 TO 4
    Grade Mode: L

    Maximum Repeatability: 98
    Coll/Fine and Performing Arts
    Music
  
  • MUS 212 - Applied Instruction: Piano


    Repeatable for credit.

    Prerequisites & Notes:
    music major; minimum applied performance audition

    Credits: 1 TO 4
    Grade Mode: L

    Maximum Repeatability: 98
    Coll/Fine and Performing Arts
    Music
  
  • MUS 213 - Applied Instruction: Strings


    Repeatable for credit.

    Prerequisites & Notes:
    music major; minimum applied performance audition

    Credits: 1 TO 4
    Grade Mode: L

    Maximum Repeatability: 98
    Coll/Fine and Performing Arts
    Music
 

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