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Materials Science Courses numbered X37; X97; 300, 400 are described in the University Academic Policies section of this catalog. |
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MSCI 321 - Materials Science I: Materials Chemistry
This course is part of an interdisciplinary sequence designed to cover the fundamental concepts of materials science. Basic concepts behind the chemistry of organic and inorganic compounds, chemical bonding and structure, electron delocalization, properties of common functional groups and ligands, and structure-property relationships will be covered in this overview course.
Prerequisites & Notes: CHEM 163 or CHEM 175; MSCI 201 or ENGR 170; PHYS 163 or concurrent; or instructor permission.
Credits: 1
Grade Mode: Letter
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MSCI 322 - Materials Science I: Polymers & Composites
This course is part of an interdisciplinary sequence designed to cover the fundamental concepts of materials science. Common synthetic routes for polymerization, common polymers and polymer classifications, mechanical properties of polymers and the relationship to polymer processing, classes of composite materials based on the composition and geometry of dispersed and continuous phases, properties and applications will be covered in this overview course.
Prerequisites & Notes: CHEM 163 or CHEM 175; MSCI 201 or ENGR 170; PHYS 163 or concurrent; or instructor permission.
Credits: 1
Grade Mode: Letter
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MSCI 323 - Materials Science I: Materials Physics
This course is part of an interdisciplinary sequence designed to cover the fundamental concepts required for further study of materials science. Basic principles of quantum mechanics including wave-particle duality and the probabilistic nature of matter, the Schrödinger equation and probability calculations, the quantum mechanical solutions for a particle in a box, a simple harmonic oscillator, and an electron in a hydrogen atom, basic classical and quantum statistical mechanical distributions, and basic physical principles of covalent bond formation will be covered in this overview course.
Prerequisites & Notes: CHEM 163 or CHEM 175; MSCI 201 or ENGR 170; PHYS 163 or concurrent; or instructor permission.
Credits: 1
Grade Mode: Letter
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MSCI 330 - Introduction to Materials Science II
Part of a multi-course interdisciplinary sequence designed to cover the fundamental concepts of materials science. Electrical, magnetic and optical properties and structures of materials are emphasized in this second overview course.
Prerequisites & Notes: MATH 125 or MATH 135 or MATH 138; PHYS 163; Depending upon advising, two or three courses from: MSCI 321, MSCI 322, and MSCI 323; or instructor permission.
Credits: 4
Grade Mode: Letter
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MSCI 410 - Characterization of Materials
The third course in a three course interdisciplinary sequence designed to cover the fundamental concepts of materials science. Theory and operating principals of external and internal characterization of materials such as: electron microscopy, x-ray chemical microanalysis, optical microscopy, thermal, magnetic and structural analysis, polymer processing and analysis, thin film preparation and characterization, and x-ray diffraction. Laboratory experience and projects are emphasized.
Prerequisites & Notes: MSCI 330 or instructor permission.
Credits: 4
Grade Mode: Letter
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MSCI 491 - Independent Research or Internship in Materials Science I
Undergraduate research in materials science or an undergraduate internship in materials science in industry under supervision. S/U grading.
Prerequisites & Notes: MSCI 330 or instructor permission.
Credits: 3
Grade Mode: S/U
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MSCI 492 - Independent Research or Internship in Materials Science II
Undergraduate research in materials science or an undergraduate internship in materials science in industry under supervision. S/U grading.
Prerequisites & Notes: MSCI 330 or instructor permission.
Credits: 3
Grade Mode: S/U
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Mathematics Courses numbered X37; X97; 300, 400, 500 are described in the University Academic Policies section of this catalog. |
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MATH 099 - Introductory Algebra
Gain skill working with algebraic language and concepts using graphs, tables and algebraic expressions and equations in order to prepare for math 112. Develop problem solving abilities and understanding. Polynomials, exponents, roots, radicals, and linear equations and inequalities and their graphs. Pass/Fail grading.
Prerequisites & Notes: NOTE: This course will fulfill 5 credits towards financial aid and veterans benefits requirements only. No credit will be allowed toward the graduation requirement of 180 credits.
Credits: 5
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MATH 101 - Functions and Algebraic Methods for K-8 Teachers
Designed for prospective K-8 teachers. Emphasizes pattern recognition and generalization, building mathematical models and problem solving. Supporting topics include polynomials, linear and quadratic equations, inequalities, graphs, rational expressions and functions. Graphing calculators required. Cannot be counted toward majors or minors in mathematics or computer science.
Prerequisites & Notes: College intermediate algebra course with a C- or better or suitable math assessment score; instructor permission.
Credits: 5
Grade Mode: Letter
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MATH 106 - Quantitative Reasoning
Develops abilities to understand quantitative information and make reasoned decisions using it. Focus is on reasoning and symbolic and quantitative models as they are commonly encountered in personal life, careers and public issues.
Credits: 4
Grade Mode: Letter
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MATH 107 - Mathematical Reasoning and Its Applications
Assessing quantitative information, reasoning, personal finance, data display and summary; making quantitative decisions about personal and public issues; understanding linear and exponential growth models; using basic probability techniques. Students interested in taking higher level mathematics courses should instead take an appropriate course from MATH 112, 114, 118, 124, 156, 157 or 240. Note: This course is not an acceptable prerequisite for MATH 112.
Prerequisites & Notes: MATH 99 or MATH 112 or college intermediate algebra course with a C- or better or suitable math assessment score.
Credits: 4
Grade Mode: Letter
GUR Attributes: QSR
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MATH 110 - Mathematics for the Natural Sciences
Mathematical topics frequently applied in sciences, including number sense, scientific notation, proportional reasoning, unit conversions, logarithms and graph interpretation. Focus on interpreting mathematics in scientific contexts.
Prerequisites & Notes: Participation in the Advancing Excellence and Equity in Science (AEES) program, or permission of instructor.
Credits: 3
Grade Mode: Letter
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MATH 112 - Functions and Algebraic Methods
Pattern recognition and generalization, building mathematical models and problem solving are emphasized. Supporting topics include polynomials, linear and quadratic equations, inequalities, graphs, rational expressions, radicals and functions. Graphing calculator required. Cannot be counted toward majors or minors in mathematics or computer science.
Prerequisites & Notes: MATH 99 or college intermediate algebra course with a C- or better or suitable math assessment score. Note: Neither MATH 106 nor MATH 107 is an acceptable prerequisite for this course.
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 114 - Precalculus I
Data analysis, functions as mathematical models, functions and their graphs. Graphing calculators are required. Cannot be counted toward majors or minors in mathematics or computer science. Students needing math for GUR purposes only should consider MATH 107 instead of MATH 114.
Prerequisites & Notes: MATH 112 with a C- or better or suitable math assessment score.
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 115 - Precalculus II
Data analysis, modeling, trigonometry, inverse functions. Graphing calculator required. Cannot be counted toward majors or minors in mathematics or computer science.
Prerequisites & Notes: MATH 114 with a C- or better at Western
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 118 - Accelerated Precalculus
Not open to students who have taken a lower numbered mathematics course at Western. Functions as mathematical models, functions and their graphs, inverse functions, trigonometry. Graphing calculator required. Cannot be counted toward majors or minors in mathematics or computer science.
Prerequisites & Notes: Suitable math assessment score.
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 119A - Topics in Mathematics
A supplement to one or more math courses offered at the 100 level. Repeatable, subject to permission of department.
Prerequisites & Notes: Permission of instructor.
Credits: 1-15
Grade Mode: Letter
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MATH 119B - Topics in Mathematics
A supplement to one or more math courses offered at the 100 level. Repeatable, subject to permission of department. S/U grading.
Prerequisites & Notes: Permission on instructor.
Credits: 1-15
Grade Mode: S/U
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MATH 124 - Calculus and Analytic Geometry I
Average and instantaneous rates of change, interpretation, computation, and application of derivatives to optimization, rates, graphing, and antiderivative problems. Graphing calculator required.
Prerequisites & Notes: MATH 115 or MATH 118 with a C- or better or a grade of 2.5 or higher in a culminating college precalculus course or suitable math assessment score.
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 125 - Calculus and Analytic Geometry II
The definite integral, techniques of integration, applications including area and volume, growth and decay, introduction to differential equations.
Prerequisites & Notes: MATH 124 or MATH 134.
Credits: 5
Grade Mode: Letter
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MATH 134 - Calculus I Honors
Intended for particularly strong students. Average and instantaneous rates of change, interpretation, computation, and application of derivatives to optimization, rates, graphing, and antiderivative problems. Frequent writing assignments. Graphing calculator required.
Prerequisites & Notes: Suitable math assessment score or an A in MATH 115 or MATH 118; instructor permission.
Credits: 5
Grade Mode: Letter
GUR Attributes: QSR
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MATH 135 - Calculus II Honors
Intended for particularly strong students. Riemann sums and the definite integral, interpretation and application to area, volume, growth and decay, techniques of integration. Introduction to differential equations. Frequent writing assignments.
Prerequisites & Notes: MATH 124 or MATH 134, and permission of instructor.
Credits: 5
Grade Mode: Letter
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MATH 138 - Accelerated Calculus
Designed for entering freshmen who are thoroughly familiar with the computational aspects of single variable calculus. Students study selected topics from MATH 124 and 125 from a more conceptual point of view. Students who complete this course receive five credits of advanced placement (unless previously received). Not open to students who have taken MATH 124 or 125. Offered fall quarter only. AP mathematics credit and MATH 138 are equivalent to MATH 124 and 125.
Prerequisites & Notes: One year AP-level high school calculus; suitable math assessment score; instructor permission.
Credits: 5
Grade Mode: Letter
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MATH 156 - Algebra With Applications to Business and Economics
Equations and inequalities, graphs and functions, exponential and logarithmic functions, applications to finance. This course is designed for business students continuing on to MATH 157.
Prerequisites & Notes: MATH 112 with a C- or better or suitable math assessment score.
Credits: 4
Grade Mode: Letter
GUR Attributes: QSR
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MATH 157 - Calculus With Applications to Business and Economics
Limits, rates of change, differentiation, graphing and optimization, integration, business applications, partial differentiation. MATH 124 may be substituted for MATH 157 but not vice versa. Cannot be taken for credit by a student who has already completed another college-level calculus course.
Prerequisites & Notes: MATH 114 or MATH 118 or MATH 156 or grade of 2.3 or higher in a college pre-calculus course or suitable math assessment score.
Credits: 4
Grade Mode: Letter
GUR Attributes: QSR
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MATH 160 - Mathematics and Art
An investigation of the connections between mathematics, art and design with emphasis on mathematical inquiry and discovery. This problem solving course includes topics from a variety of mathematical disciplines such as: pattern and proportion, geometric constructions and proofs, symmetry and groups, polyhedra and origami, graphs and colorings, formal perspective, fractals and iterative processes, conics and curves.
Prerequisites & Notes: MATH 112 with a C- or better or suitable math assessment score.
Credits: 4
Grade Mode: Letter
GUR Attributes: QSR
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MATH 203 - Linear Algebra and Differential Equations I
First course in the 203-303 sequence. A unified treatment of the material on elementary linear algebra and elementary differential equations covered in MATH 204 and 331. Together with MATH 303, is equivalent to MATH 204 and MATH 331.
Prerequisites & Notes: MATH 125 or MATH 135 or equivalent
Credits: 4
Grade Mode: Letter
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MATH 204 - Elementary Linear Algebra
Systems of linear equations; matrices; the vector space Rn; linear independence, bases, subspaces and dimension in Rn; introduction to determinants and the eigenvalue problem; applications.
Prerequisites & Notes: MATH 125 or MATH 135; MATH 224 recommended
Credits: 4
Grade Mode: Letter
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MATH 205 - Linear Algebra Workshop
Elementary linear algebra projects on a computer. S/U grading.
Prerequisites & Notes: Math 204 or concurrent.
Credits: 1
Grade Mode: S/U
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MATH 220 - Visualization in Multivariable Calculus
Weekly lab projects emphasizing the creation and interpretation of computer-generated graphs and contour diagrams for functions of several variables. Problems are drawn from material being studied in MATH 224. S/U grading.
Prerequisites & Notes: Math 224 or concurrent.
Credits: 1
Grade Mode: S/U
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MATH 224 - Multivariable Calculus and Geometry I
Coordinate systems, curves and vectors in the plane and in space, partial derivatives, applications including optimization and motion, multiple integrals.
Prerequisites & Notes: MATH 125 or MATH 135, or MATH 138
Credits: 5
Grade Mode: Letter
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MATH 225 - Multivariable Calculus and Geometry II
Multiple integrals, line and surface integrals, gradient fields, Green’s and Stokes’ theorems.
Prerequisites & Notes: MATH 224
Credits: 4
Grade Mode: Letter
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MATH 226 - Limits and Infinite Series
Formal treatment of limits of functions and sequences of continuity, including a thorough training in constructing rigorous proofs of the epsilon-delta type. Convergence tests for infinite series. Radius of convergence, differentiation, and integration of Taylor series.
Prerequisites & Notes: MATH 125, MATH 135 or MATH 138
Credits: 4
Grade Mode: Letter
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MATH 240 - Introduction to Statistics
Types of data, measures of center/spread, z-scores, graphical descriptions of data, the normal distribution, 1- and 2-sample hypothesis tests and confidence intervals for means and proportions, sample size calculations, chi-square tests, and one-way analysis of variance. Use of a statistical software package such as SPSS. Cannot be counted toward any major in the Department of Mathematics.
Prerequisites & Notes: MATH 112 with a C- or better or a college pre-calculus course with a C+ or better or suitable math assessment score.
Credits: 4
Grade Mode: Letter
GUR Attributes: QSR
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MATH 300 - Directed Independent Study
An individualized course of study not available through or replacing existing curriculum, to be arranged between one matriculating student and sponsoring faculty member. All academic policies and registration deadlines apply. Directed Independent Study courses cannot substitute for General University Requirements and are not eligible for tuition waiver.
Credits: 1-15
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MATH 302 - Introduction to Proofs Via Number Theory
The properties of integers, prime numbers, Euclidean algorithm, congruences. The student is expected to develop competence in proving basic results in number theory.
Prerequisites & Notes: MATH 125 or MATH 135 or MATH 138
Credits: 4
Grade Mode: Letter
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MATH 303 - Linear Algebra and Differential Equations II
Second course in the MATH 203-303 sequence. A unified treatment of the material on elementary linear algebra and elementary differential equations covered in MATH 204 and 331. Together with MATH 203, is equivalent to MATH 204 and MATH 331.
Prerequisites & Notes: MATH 203
Credits: 4
Grade Mode: Letter
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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: Letter
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MATH 307 - Mathematical Computing
Use of mathematical software such as Matlab and Mathematica. Elementary programming, numerical and symbolic computation, visualization and technical reporting in mathematical context.
Prerequisites & Notes: MATH 125 or MATH 135 or MATH 138; MATH 204
Credits: 4
Grade Mode: Letter
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MATH 309 - Introduction to Proof in Discrete Mathematics
Logic, sets, functions, sequences, counting methods, graph theory. The student is expected to develop competence in proving basic results in discrete mathematics.
Prerequisites & Notes: MATH 125
Credits: 4
Grade Mode: Letter
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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 302 or MATH 309. Restricted to majors and minors during Registration Phase 1.
Credits: 4
Grade Mode: Letter
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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: Letter
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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. Please note: MATH 341 and MATH 345 cannot both be counted for credit.
Prerequisites & Notes: MATH 125 or MATH 135 or MATH 138
Credits: 4
Grade Mode: Letter
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MATH 342 - Statistical Methods I
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 204 or concurrent; and MATH 341 or MATH 345.
Credits: 4
Grade Mode: Letter
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MATH 343 - Statistical Method II
One- and two-way layouts, repeated-measures ANOVA, factorial designs, fixed versus random effects, multiple comparisons, logistic regression.
Prerequisites & Notes: MATH 342.
Credits: 4
Grade Mode: Letter
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MATH 344 - Honors Probability and Statistics
Intended for particularly strong students. Probability, including combinatorial methods, discrete distributions and continuous distributions using integrals. Descriptive statistics and the use of a computer statistical package. Statistical inference, including confidence intervals and hypothesis testing. This class will substitute for Math 341 in any major/minor offered by the mathematics department.
Prerequisites & Notes: MATH 125 or MATH 135 or MATH 138; and instructor permission.
Credits: 4
Grade Mode: Letter
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MATH 345 - Statistics for Engineering
Basic probability, discrete and continuous probability distributions. Descriptive statistics and the use of computer statistical packages. Statistical inference, including 1- and 2-sample hypothesis tests and confidence intervals for means and proportions, paired t test and sample size calculations. Engineering applications are emphasized. Please note: MATH 341 and MATH 345 cannot both be counted for credit.
Prerequisites & Notes: MATH 125
Credits: 4
Grade Mode: Letter
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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 302 or MATH 309.
Credits: 4
Grade Mode: Letter
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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: MATH 112 or college intermediate algebra course with a C or better or suitable math assessment score; a C or better in one of ELED 370, ELED 372, SPED 420, ECE 391; prerequisites must have been met within the last 5 years.
Credits: 4
Grade Mode: Letter
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MATH 382 - Teaching K-8 Mathematics II
Investigations of mathematics topics that focus on proportional thinking, rational numbers, and probability. 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: Letter
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MATH 383 - Teaching K-8 Mathematics III
Investigations of mathematics topics that focus on geometry, algebraic reasoning, measurement 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 a C or better at WWU
Credits: 4
Grade Mode: Letter
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MATH 400 - Directed Independent Study
An individualized course of study not available through or replacing existing curriculum, to be arranged between one matriculating student and sponsoring faculty member. All academic policies and registration deadlines apply. Directed Independent Study courses cannot substitute for General University Requirements and are not eligible for tuition waiver.
Credits: 1-15
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MATH 401 - Introduction to Abstract Algebra
Introduction to groups, Lagrange’s Theorem, isomorphisms and homomorphisms, normal subgroups and factor groups, the fundamental theorem of finite abelian groups.
Prerequisites & Notes: MATH 204; and MATH 302 or MATH 309.
Credits: 4
Grade Mode: Letter
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MATH 402 - Introduction to Abstract Algebra
Introduction to rings and fields, ideals, polynomial rings, unique factorization domains, field extensions, finite fields.
Prerequisites & Notes: MATH 401
Credits: 4
Grade Mode: Letter
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MATH 405 - Algebraic Geometry
An overview of algorithms and techniques inspired by geometry and used to solve systems of polynomial equations. Topics include affine varieties, polynomials, the division algorithm, Groebner bases, elimination theory, Hilbert’s Nullstellensatz, the ideal-variety correspondence and basic projective geometry.
Prerequisites & Notes: MATH 204; MATH 302 or MATH 309.
Credits: 4
Grade Mode: Letter
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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
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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; one of CSCI 140 or CSCI 141 or MATH 307.
Credits: 4
Grade Mode: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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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: Letter
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MATH 432 - Systems of Differential Equations
Forced second order equations, systems of nonlinear differential equations, applications.
Prerequisites & Notes: MATH 226; and one of the following pairs: MATH 204, MATH 331; or MATH 203, MATH 303.
Credits: 4
Grade Mode: Letter
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MATH 438 - Introduction to Complex Variables
Differentiation and integration of complex-valued functions; Cauchy integral theorem; calculations of residues.
Prerequisites & Notes: MATH 225 and MATH 312
Credits: 4
Grade Mode: Letter
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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 302 or MATH 309
Credits: 4
Grade Mode: Letter
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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: Letter
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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: Letter
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MATH 444 - Categorical Data Analysis
Statistical models and methods for categorical responses. Topics include chi-square and likelihood-ratio tests for the analysis of contingency tables, as well as a treatment of generalized linear models including logistic, cumulative logit, and Poisson regression. Extensive use of a computer statistical package.
Prerequisites & Notes: MATH 342
Credits: 4
Grade Mode: Letter
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MATH 445 - Computational Statistics
Generation of random variables, Monte Carlo simulation and variance reduction techniques, resampling methods including bootstrap, jackknife, and permutation, Markov chain Monte Carlo. Extensive use of a computer statistical package.
Prerequisites & Notes: MATH 224 and one of: CSCI 140, CSCI 141 or MATH 307; MATH 341 or 442.
Credits: 4
Grade Mode: Letter
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MATH 451 - Number Theory
An overview of elementary number theory beyond MATH 302, including such topics as multiplicative functions, quadratic residues and reciprocity, primitive roots, nonlinear Diophantine equations, continued fractions, and cryptology.
Prerequisites & Notes: MATH 302
Credits: 4
Grade Mode: Letter
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MATH 456 - Applied Time Series Analysis
Exploratory analysis of trend and seasonality, stationary and non-stationary processes including ARIMA, model estimation, selection, diagnostics, and forecasting.
Prerequisites & Notes: MATH 342.
Credits: 4
Grade Mode: Letter
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MATH 457 - Bayesian Statistics
Introduction to Bayesian inference; prior and posterior distributions; conjugate priors; statistical inference, including summarizing posterior information and making predictions; hierachical and linear regression models. Monte Carlo methods including Gibbs sampling.
Prerequisites & Notes: MATH 342 and MATH 442; or instructor permission.
Credits: 4
Grade Mode: Letter
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MATH 458 - Stochastic Processes
Selected topics in the area of stochastic processes including Random Walks, Markov Chains, Poisson Processes and Brownian Motion.
Prerequisites & Notes: MATH 441 or MATH 541.
Credits: 4
Grade Mode: Letter
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MATH 465 - Enumerative Combinatorics
Selections and arrangements, inclusion-exclusion, partitions, binomial identities, ordinary and exponential generating functions, bijective proofs of combinatorial identities.
Prerequisites & Notes: MATH 302 or MATH 309; or instructor permission.
Credits: 4
Grade Mode: Letter
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MATH 473 - 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: Letter
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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: Letter
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MATH 490 - Senior Project
Intensive study of an advanced topic in mathematics.
Prerequisites & Notes: Permission of the Department Chair.
Credits: 4
Grade Mode: Letter
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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: MATH 383 with a C or better at WWU
Credits: 2
Grade Mode: S/U
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MATH 500 - Directed Independent Study
An individualized course of study not available through or replacing existing curriculum, to be arranged between one matriculating student and sponsoring faculty member. All academic policies and registration deadlines apply.
Credits: 1-15
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MATH 502 - Abstract Algebra
Introduction to rings and fields, ideals, polynomial rings, unique factorization domains, field extensions, finite fields.
Prerequisites & Notes: MATH 401 or equivalent
Credits: 4
Grade Mode: Letter
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MATH 503 - Topics in Abstract Algebra
Topics such as Galois theory, number theory, group representation theory, algebraic geometry, Lie algebras. Repeatable with various topics.
Prerequisites & Notes: MATH 502 or equivalent
Credits: 3
Grade Mode: Letter
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MATH 504 - Abstract Linear Algebra
Abstract vector spaces, linear transformations, spectral theory.
Prerequisites & Notes: MATH 304 or equivalent
Credits: 4
Grade Mode: Letter
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MATH 505 - Algebraic Geometry
An overview of algorithms and techniques inspired by geometry and used to solve systems of polynomial equations. Topics include affine varieties, polynomials, the division algorithm, Groebner bases, elimination theory, Hilbert’s Nullstellensatz, the ideal-variety correspondence and basic projective geometry.
Prerequisites & Notes: MATH 204 and one of either MATH 302 or MATH 309; or by permission of instructor
Credits: 4
Grade Mode: Letter
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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; one course from: CSCI 140 or CSCI 141 or MATH 307.
Credits: 4
Grade Mode: Letter
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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: Letter
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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: Letter
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MATH 521 - Methods of Mathematical Analysis I
Introduction to metric spaces, properties of functions on metric spaces, compactness and continuity.
Credits: 4
Grade Mode: Letter
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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: Letter
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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: Letter
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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: Letter
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MATH 525 - Topology
Topological spaces, connectedness, compactness, product and quotient spaces, homotopy.
Prerequisites & Notes: MATH 521.
Credits: 4
Grade Mode: Letter
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MATH 527 - Real Analysis
Theory of Lebesgue measure and integration.
Prerequisites & Notes: MATH 522
Credits: 4
Grade Mode: Letter
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MATH 528 - Functional Analysis
Spaces of functions, linear functionals and their representation, applications.
Prerequisites & Notes: MATH 522
Credits: 4
Grade Mode: Letter
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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: Letter
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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: Letter
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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: Letter
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