Mathematics

Offered All terms, Fall, Spring, Summer

Offered Fall, Spring, Summer, All terms

Preparation for MAT 103, MAT 153, and MAT 191. Students will strengthen their problem solving and algebra skills while working collaboratively on math problems arising from various STEM disciplines. For students majoring in Biochemistry, Chemistry, Computer Science, Mathematics and Physics.

Offered All terms, Spring, Summer

Preparation for MAT 105 or MAT 132. Fundamental mathematical and statistical reasoning, including linear functions, measures of center and spread, representative of data, interpreting graphs, counting methods. Not intended for science and math majors that require MAT 153 or higher.

Offered All terms, Fall, Spring, Summer

Preparation for MAT 151 College Algebra. Graphic, numeric, analytic and applied perspectives on algebraic concepts of linear and nonlinear functions, linear programming, exponents, radicals, exponential functions and transformation of functions. Intended for science and math majors.

Offered All terms, Fall, Spring, Summer

Prerequisite: Quantitative Reasoning Placement Level 2 or completion of any of MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191. Mathematics of finance, combinatorics, probability, statistical measures of central tendency and dispersion, problem solving and mathematical reasoning, and additional topical selected by instructor e.g. linear programming, statistics, graph theory, game theory. A-C-/NC grading. Satisfies the General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Prerequisite: Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191.Sets and set theoretic operations as related to counting numbers and rational numbers and arithmetic operations. Real number system and its origins, development, structure and use. Special emphasis on problem solving, and the development and application of algorithms. Does not satisfy General Education Quantitative Reasoning Requirement.

Offered Fall, Spring, All terms

Problem solving and applications of mathematics to personal and civic life involving chance and descriptive statistics and selected additional topics. Includes use of spreadsheets and other technologies. Not intended for majors that require statistics or calculus. A-C-/NC grading.

Offered Fall, Spring

Prerequisite: Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 151, MAT 153, or MAT 191. A practical course in probability and statistics including such topics as the binomial and normal distributions, confidence intervals, t, F, and chi-square tests, linear regression and correlation, and conditional probability. Satisfies the General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Recommended prerequisite: MAT 102 or GE Math Ready with Support (Level III) Includes the binomial and normal distributions, confidence intervals, linear regression and correlation, and conditional probability. Satisfies General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

MAT 134 is an introduction to statistics, including the binomial and normal distributions, confidence intervals, linear regressions and correlation, hypothesis testing, and conditional probability. Satisfies General Education Quantitative Reasoning. Not for students with credit for MAT 131 or MAT 132. Recommended for students designated "GE Ready with Support (Level III)."

Offered Fall, Spring

Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191. Introduction to computers for teachers of mathematics. Topics include flowcharting, programming in LOGO on microcomputers. Applications of computers to problem solving, statistics, and other areas of mathematics relevant to teachers of mathematics. Applications packages, CAI and social issues are studied. A-C/NC grading. Does not satisfy General Education Quantitative Reasoning Requirement.

Offered Infrequent

Prerequisite: be Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191. Objective is to increase students abilities to use knowledge and experience when encountering new and unexpected situations. Develop higher level thinking skills, learn to formulate, analyze, and model problems. Choosing relevant information, making conjectures, devising plans and testing solutions. A-C/NC grading. Does not satisfy General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Prerequisites: MAT 103 is required. Graphic, numeric, analytic and applied perspectives on topics including linear, quadratic, exponential, logarithmic and trigonometric functions, exponents and radicals, linear and nonlinear systems of equations and inequalities. Preparation for MAT 191: Calculus I. 3 units of discussion; 1 unit lab.

Offered All terms, Fall, Spring

Prerequisites:Math Placement Category Level 2 or completed GE Quantitative Reasoning. Topics include functions and their graphs; linear, quadratic, rational, exponential, and logarithmic functions; composition, transformation and arithmetic of functions; inverse function; inequalities; right-triangle trigonometry and circular motion; applications to contextual problems. This course is supported with Supplemental Instruction. Preparation for MAT 191: Calculus.

Offered Fall, Spring

Prerequisite(s): Designation of "GE Ready (Level II)" or with permission of department. Topics include functions and their graphs; linear, quadratic, rational, exponential, and logarithmic functions; composition, transformation, and arithmetic of functions; inverse function; inequalities; right-triangle trigonometry and circular motion; applications to contextual problems. Preparation for MAT 191 Calculus.

Offered Fall, Spring

Prerequisite: Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191. Not available for credit to students who have credit in MAT 191 or its equivalent or courses which have MAT 191 as a prerequisite. Functions, linear equations, the derivative and its applications, the integral and its applications, and partial derivatives. Satisfies the General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Prerequisite: MAT 151 or MAT 153 or equivalent with a grade of C or better. Limits, continuity, derivatives, differentiation formulas, applications of derivatives, introduction to integration, fundamental theorem of calculus, application of integration. Satisfies the General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Prerequisite: MAT 191 or equivalent with a grade of C or better. Differentiation and integration of transcendental function. Techniques and applications of integration. Polar coordinates. Infinite sequences and series, power series, convergence. Satisfies the General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

A course in a topic of special interest to both faculty and students for which no current course exists. Topic will be announced in schedule of classes. Repeatable for credit. One to four hours of lecture per week.

Offered As needed, All terms

Prerequisite: Quantitative Reasoning Placement Level 2 or completion of any of MAT 105, MAT 131, MAT 132, MAT 134, MAT 151, MAT 153, or MAT 191. Primarily for prospective elementary school teachers. Geometry from an intuitive problem solving standpoint. Constructions, symmetry, translations, rotations, patterns, area, volume, and the metric system. Topics from graph theory and topology. Two hours of lecture and two hours of activity per week. Does not satisfy General Education Quantitative Reasoning Requirement.

Offered Fall, Spring

Prerequisite: MAT 193 or equivalent with a grade of C or better. Multivariable calculus: analytic geometry, scalar and vector products, partial differentiation, multiple integration, change of coordinates, gradient, optimization, line integrals, Green's theorem, elements of vector calculus.

Offered Fall, Spring

Prerequisite: MAT 211 or equivalent with a grade of C or better. Topics covered include vector calculus, line and surface integrals, and the theorems of Green, Gauss, and Stokes.

Offered Infrequent

Prerequisite: MAT 193 or equivalent with a grade of C or better. Introduction to application software appropriate for the teaching of secondary school mathematics. The programs include spreadsheet, geometric modeling, and statistics modeling. Writing simple programs for graphing calculators to demonstrate and solve mathematical problems.

Offered Fall

Matrix algebra emphasizing small (2x2 and 3x3) matrices and vectors over the real numbers, solutions of systems of equations, determinants, inner product spaces, and linear transformations, with applications to other subjects, e.g. physical and computer science, economics, and operations research.

Offered Fall, Spring

Prerequisite: MAT 193 with grade of C or better. Topics include logic, methods of mathematical proof, set theory, relations and functions. Introduction to complex numbers and proof strategies using ideas of vector algebra. Meant to prepare students for mathematics program as well as concepts of computer science.

Offered Fall, Spring

Prerequisite: a) MAT 151 or MAT 153 and b) CSC 115 or CSC 121 or MAT 241 or equivalent with grade of C or better. Matrix algebra, graph theory, trees, combinatorics, Boolean algebra; with applications to computers and computer programming.

Offered Fall, Spring

Prerequisites: MAT 193 and consent of instructor. A course in a topic of special interest to both faculty and students for which no current course exists. Topic will be announced in schedule of classes. Repeatable for credit. One to four hours of lecture per week.

Offered As needed

Prerequisites: MAT 193, consent of instructor and consent of department chair. A reading program of selected topics not covered by regularly offered courses conducted under the supervision of a faculty member.

Offered As needed

Foundations of Mathematics related to the middle school curriculum. Course 1 includes the following topics: Reasoning with numbers, basic number proofs, understanding exponents, proportional reasoning, rates, linear functions, method of finite differences, and the theory and application of theses topics.

Offered Infrequent, All terms

Foundations of Mathematics related to the middle school curriculum. Course 2 includes the following topics: basic Eeuclidean facts, algebra-geometry connections, volume and surface area formulas, similarity, congruence, and scale factors, and the theory and application underlying these topics.

Offered Infrequent

Foundations of Mathematics related to the middle school curriculum. Course 3 includes the following topics: concept of functions, inverse functions, properties of rational, trigonometric and exponential functions and fundamental concepts in Calculus.

Offered All terms, Infrequent

Prerequisite: MAT 211 and MAT 271 with a grades of C or better. Topics covered include first and second order linear equations including existence and uniqueness theorems, series solutions; nonlinear equations; systems of linear equations. Other topics may include the Laplace transform, qualitative theory.

Offered Fall

Prerequisites: CSC 115 or MAT 241; MAT 193, MAT 131 or MAT 132 are required. Co-requisites: MAT 323 and MAT 327 are recommended. Survival analysis is about the analysis of time-to-event data. This course will help you understand the fundamental concepts of survival analysis. Topics include, but are not limited to, time-to-event data, Log-rank test and Cox proportional hazards regression.

Offered Fall

Prerequisite: MAT 193 and MAT 271 or equivalent with grade C or better. A calculus based survey of topics in probability and statistics emphasizing applications.

Offered Fall, Spring

Point and interval estimation, hypothesis testing, simple linear regression, re-sampling. Method of moments, maximum likelihood, bias and variance, mean-squared error, sufficiency, likelihood ratio tests, p-value, power calculation, analysis of variance, Neymann-Pearson lemma, uniformly most powerful tests.

Offered Fall

Required Prerequisites: MAT 281.Recommended Prerequisite: MAT 131 Machine learning uses methods and concepts to sift through data to create automated prediction and decision programs. This course will develop the underlying mathematical concepts and proficiency with R or similar software to understand, build, and apply machine learning.

Offered Spring

Prerequisite: MAT 247 and MAT 271 or equivalent with a grade of C or better. Linear equations, vector spaces, matrices, linear transformations, determinants, eigenvalues, eigenvectors, etc.

Offered Fall, Spring

Prerequisite: MAT 271 or equivalent with a grade of C or better. The theory of groups, rings, ideals, integral domains, fields and related results.

Offered Fall

Prerequisite: MAT 191 or equivalent with a grade of C or better. Topics covered include propositional calculus, classical and intuitionistic; completeness and consistency theorems; first order predicate calculus with equality; axiomatic arithmetic; Godel's incompleteness theorem.

Offered Infrequent

Prerequisite: MAT 271 or equivalent with a grade of C or better. Topics in synthetic and analytic geometry; transformations, similarity, congruence, distance, angles, constructions; introduction to projective and/or non-Euclidean geometry.

Offered Spring

Prerequisite: MAT 193 or equivalent with a grade of C or better. Probability as a mathematical system, set theory, conditional probability and independent events, random variables, distribution and density functions, covariance and correlation, limit theorems, convolutions, computer generation of random numbers.

Offered Infrequent

Prerequisite: MAT 351 or equivalent with a grade of C or better. A selection from among several topics, including Markov chains; Markov processes; queuing, branching, Poisson, and Gaussian processes; stationary processes.

Offered Infrequent

Prerequisite: MAT 281 or equivalent with a grade of C or better. Study of the abstract formalization of digital computers. Applications to computation theory and formal linguistics.

Offered Infrequent

Prerequisites: Experience in BASIC, FORTRAN or Pascal and MAT 211 or equivalent with a grade of C or better. Approximation of roots of functions, interpolation formulas, numerical solutions of systems of equations, numerical differentiation and integration, numerical solutions to ordinary differential equations.

Offered Infrequent

Prerequisite: MAT 367 or equivalent with a grade of C or better. A continuation of MAT 367, including approximation of eigenvalues and eigenvectors, approximation by splines, numerical solutions of parabolic, elliptic, and hyperbolic partial differential equations.

Offered Infrequent

Prerequisites: MAT 211 and consent of instructor. A course in a topic of special interest to both faculty and students for which no current course exists. Topic will be announced in schedule of classes. Repeatable for credit. One to four hours of lecture per week.

Offered As needed

Prerequisites: Consent on Department Chair or Instructor is required. Supervised work experience, emphasizing hands-on training and application of practical and/or technical skills in mathematics, in a suitable setting. Students will submit a comprehensive report or portfolio. CR/NC grading. Repeatable course.

Offered Fall, Spring

Offered Infrequent

Prerequisites: MAT 211 and MAT 271, or equivalent with a grade of C or better. Elements of set theory, numerical sequences and series, continuity and differentiability of functions of one and several variables.

Offered Fall

Prerequisite: MAT 401 or equivalent with a grade of C or better. Integration of functions of one and several variables, sequences and series of functions, uniform convergence, power series, differentiation of functions of several variables.

Offered Spring

Prerequisite: MAT 211, MAT 241, and MAT 271 or CSC 121 or CSC 111. Flexible course content depending on interest of instructor and students. Possible topics are: epidemic and predator-prey models from differential equations; linear programming models; Arrow's theorem; and probability models.

Offered Spring

Prerequisites: MAT 311 with a grade of C or better is required; MAT 213 is recommended. Solutions to partial differential equations by separation of variables and Fourier series. Applications to heat flow and diffusion, wave motion, and potentials. Some discussion of existence and uniqueness of solutions.

Offered Infrequent

Financial mathematics focuses on interest theory, financial data analysis, and the application of these concepts to calculating present and accumulated values for cash flows. The course also covers various important instruments such as loans, stocks, bonds, and financial derivatives

Offered Infrequent

Prerequisites: MAT 211 and MAT 247 are required; CSC 115 or MAT 241 are recommended. Methods include optimization (stochastic gradient descent, alternating direction method of multipliers (ADMM), L1 minimization) with applications to Linear Regression, K-means and Expectation-Maximization (EM) algorithm; matrix decomposition (singular value decomposition (SVD), principal component analysis (PCA) and nonnegative matrix decomposition) with applications to recommendation system, image processing and computer vision.

Offered Fall

Prerequisites: MAT 211 and MAT 271 with a grade of C or better. MAT 331 and MAT 401 (may be taken concurrently) are recommended. Complex numbers; point sets, sequences and mappings; analytic functions; elementary functions; integration; power series; the calculus of residues; and applications.

Offered Spring

Prerequisite: MAT 193 with a grade of C or better. Traces the growth and development of mathematics from primitive origins to present, uses methods and concepts of mathematics to present the topics.

Offered Spring

Prerequisite: MAT 271 with a grade of C or better. Divisibility, congruencies, prime number theory, Diophantine Equations, and other topics from elementary number theory.

Offered Spring

Prerequisites: MAT 271 with a grade of C or better is required. CSC 115 or CSC 121 with a grade of C or better is recommended. Congruencies and number theory, history and early cryptosystems, cryptographic data structures, public key cryptography, additional cryptosystems such as DES, AES, and elliptic curve cryptography. Computer implementations will also be covered, as well any needed additional mathematical topics (e.g. finite fields.)

Offered Fall

Prerequisite: MAT 351 or equivalent with a grade of C or better. Sums of independent random variables; functions of random variables; chi-square, F, and t distributions; estimation of parameters; maximum-likelihood, unbiased, consistent, minimum-variance, and minimum-mean- square error estimators; confidence intervals; central limit theorem.

Offered Infrequent

Prerequisites: MAT 211, MAT 271, and MAT 241, or CSC 121, or CSC 115 or equivalent with a grade of C or better are required. MAT 281 with a grade of C or better is recommended. Graphs, digraphs, multigraphs, graph modeling, degrees and degree sequences, subgraphs, isomorphisms of graphs, and digraphs, distance concepts and applications, trees, and tree algorithms, Hamiltonian and Eulerean graphs. The viewpoints will be conceptual, theoretical and algorithmic.

Offered Fall

Prerequisite: 9 units of 300/400-level mathematics with a grade of C or better; In order to begin the hours for fieldwork in this course, you will need a valid Certificate of Clearance (fingerprints) and proof of a negative TB (within 4 months of the fieldwork course beginning). For information on submitting these documents, contact the Center for Teaching Careers. Synthesis and analysis of secondary mathematics and its teaching. Emphasis will be placed on algebraic thinking and its teaching in high school. Forty hours of secondary classroom observations will be a required activity in this course. A Certificate of Clearance is required.

Offered Spring

Prerequisite: 9 units of 300/400 mathematics courses with a grade of C or better. The synthesis and analysis of the secondary mathematics curriculum from an advanced standpoint. Emphasis will be on the integration of problem solving, investigations, reasoning, and communication as recommended in state and national standards.

Offered Fall

Prerequisites: Consent of instructor and MAT 271. A course in a topic of special interest to both faculty and students for which no current course exists. Topic will be announced in schedule of classes. Repeatable for credit. One to four hours of lecture per week.

Offered As needed

Prerequisites: MAT 211, consent of instructor and consent of department chair. A reading program of selected topics not covered by regularly offered courses conducted under the supervision of a faculty member.

Offered As needed

Prerequisites: Students must have graduate standing and must have completed one year of full time secondary mathematics teaching. Includes topics such as normal distribution, confidence intervals, t, F, chi-squared tests, linear regression, and correlation. These topics are presented in the context of mathematics education research in typical classrooms.

Offered As needed

Prerequisites: MAT 543 or concurrent enrollment. Students must have graduate standing and must have completed one year of full time secondary mathematics teaching. Research on Various topics in geometry. Focus on developing notions of rigorous proof and grade-appropriate explanations. Topics are chosen from the Geometry areas and standards emphasized in K-12.

Offered As needed

Prerequisites: MAT 543 or concurrent enrollment. Students must have graduate standing and must have completed one year of full time secondary mathematics teaching. Topics include the algebraic properties of sets and operations applied to classical number systems, equivalence, modular arithmetic, Diophantine equations, decomposition of natural numbers, special families of natural numbers, current research on understanding and learning these topics.

Offered As needed

Prerequisites: MAT 543 or concurrent enrollment. Students must have graduate standing and must have completed one year of full time secondary mathematics teaching. Covers theory and applications of Rational numbers. Focus on number systems, representation of numbers, equivalence classes, rationality and irrationality, properties of the rational numbers system, central ideas of proportional reasoning, and developing intuitive models of standard rules and algorithms.

Offered As needed

Prerequisites: Possession of a baccalaureate degree and one year of full-time secondary mathematics teaching. Topics from areas of Modern Mathematics which relate to the high school mathematics curriculum such as: algorithms, graph theory, coding theory, game theory, finite probability theory, difference equations, voting, recursion.

Offered As needed

Prerequisites: Possession of a baccalaureate degree and one year of full-time secondary mathematics teaching. Topics from Fractal and Chaos Theory including: the Cantor Set, Koch Curve, Julia Sets, space filing curves. Brownian motion and Chaotic behavior. Selections to relate to the high school mathematics curriculum.

Offered Infrequent

Prerequisites: MAT 543, graduate standing and one year of full time secondary mathematics teaching. Topics from Geometry including: points and lines in a triangle, properties of circles, collinearity, concurrence, transformations, arithmetic and geometric means, isoperimetric theorems, reflection principle.

Offered As needed

Prerequisites: Students must have graduate standing and must have completed one year of full time secondary mathematics teaching. Patterns, functions, and multiple representations; independent and dependent variables; discrete and continuous functions; linear and nonlinear relationships in context; connections to arithmetic operations; algebraic expressions and equations. Examines current research on the understanding and learning of these topics.

Offered As needed

Prerequisites: MAT 543, graduate standing and one year of full time secondary mathematics teaching.Topics from Function Theory including: mathematical models, linear functions, non-linear functions, transformations, limits, continuity, functions of several variables.

Offered As needed

Prerequisites: MAT 543, graduate standing and one year of full time secondary mathematics teaching. Topics relating to the high school Algebra curriculum from an advanced standpoint including algorithms, fields, polynomials, groups, fields, and rings.

Offered As needed

Problem solving using non-routine strategies. Problems to be representative of several branches of mathematics and mathematically based disciplines.

Offered As needed

Prerequisites: Graduate standing and one year of full time secondary teaching. Traces the development of the mathematics curriculum K-12 in the United States and internationally, concentrating both on content taught at different stages and the teaching methods employed. Reviews the various mathematics reform efforts over the past 170 years.

Offered As needed

Prerequisites: GED 500 and consent of program. Integrates previous work and experience by emphasizing the application of theoretical models and research designs to the field of mathematics education. Special emphasis will be given to analyzing, organizing, and evaluating findings, and communicating the results.

Offered Infrequent

Prerequisites: MAT 500 and 15 units of program. Overview of the current research literature pertaining to mathematics education in elementary and secondary schools. Topics such as mathematical reasoning, communication, problem solving, algebra, and geometry will be discussed and analyzed.

Offered As needed

Prerequisite: MAT 557. Overview of the current research literature pertaining to mathematics education in elementary and secondary schools. Topics such as mathematical reasoning, communication, problem solving, algebra, and geometry will be discussed and analyzed.

Offered As needed

Prerequisites: Possession of a baccalaureate degree and one year of full-time secondary mathematics teaching. Presentation and discussion of selected topics in Mathematics Education. Repeatable course.

Offered Infrequent

Prerequisites: Consent of instructor and department chair. In consultation with a faculty member, the student will investigate in detail current scholarship in some area. Repeatable course.

Offered As needed

 An intensive study of selected issues in mathematics education. Repeatable course.

Offered As needed

Prerequisites: Consent of instructor and department chair. Extensive reading in selected areas under the guidance of faculty mentor. Repeatable course.

Offered Infrequent

Prerequisite: Classified graduate standing. Students will design and conduct research projects under the direct supervision of the instructor. Repeatable course.

Offered As needed

Prerequisite: Advancement to Candidacy. Completion of classroom based project under the guidance of faculty advisor. The culminating learning experience of the program which emphasizes the application of the mathematics education curriculum in the classroom.

Offered As needed

Graduate students who have completed their course work but not their thesis, project, or comprehensive examination, or who have other requirements remaining for the completion of their degree, may maintain continuous attendance by enrolling in this course. Signature of graduate program coordinator required.

Offered Infrequent