Catalog Version

Winter/Spring 2013
Catalog update:
October 15, 2012

Access archived catalogs in the Catalog Archive section.​​​​​

Students are required to follow the Academic Handbook and Code of Student Responsibility

Pure Mathematics Concentration

Course Requirements

  • Three courses to be chosen from the following list
  • Three additional mathematics courses from the following list
    • MAT 301 HISTORY OF MATHEMATICS
    • MAT 302 COMBINATORICS
    • MAT 303 THEORY OF NUMBERS
    • MAT 304 DIFFERENTIAL EQUATIONS
    • MAT 311 ABSTRACT ALGEBRA II
    • MAT 312 ABSTRACT ALGEBRA III
    • MAT 320 GEOMETRY I
    • MAT 321 GEOMETRY II
    • MAT 336 REAL ANALYSIS II
    • MAT 337 COMPLEX ANALYSIS
    • MAT 340 TOPOLOGY
    • MAT 348 APPLIED STATISTICAL METHODS
    • MAT 351 PROBABILITY AND STATISTICS I
    • MAT 352 PROBABILITY AND STATISTICS II
    • MAT 353 PROBABILITY AND STATISTICS III
    • MAT 370 ADVANCED LINEAR ALGEBRA
    • MAT 372 LOGIC AND SET THEORY
    • MAT 384 MATHEMATICAL MODELING
    • MAT 385 NUMERICAL ANALYSIS I
    • MAT 386 NUMERICAL ANALYSIS II (CROSS-LISTED WITH MAT 486 & CSC 386/486) ​

      • Open Electives  

      Open elective credit also is required to meet the minimum graduation requirement of 192 hours. 

      Recommended Course Selections

        

      MAT 310

      ABSTRACT ALGEBRA I

      The first quarter of a 3-quarter sequence. Topics in the sequence include the integers; abstract groups, rings, and fields; polynomial rings; isomorphism theorems; extension fields; and an introduction to Galois theory. MAT 303 is highly recommended.
      Prerequisites:
      MAT 262 and (MAT 141 or MAT 215) are a prerequisite for this class.

      MAT 311

      ABSTRACT ALGEBRA II

      Continuation of 310.
      Prerequisites:
      MAT 310 is a prerequisite for this class.

      MAT 335

      REAL ANALYSIS I

      Real number system, completeness, supremum, and infimum, sequences and their limits, lim inf, lim sup, limits of functions, continuity.
      Prerequisites:
      (MAT 149 or MAT 152 or MAT 162 or MAT 172) and (MAT 141 or MAT 215) are a prerequisite for this class.

      MAT 336

      REAL ANALYSIS II

      Properties of continuous functions, uniform continuity, sequences of functions, differentiation, integration. To follow 335 in the Winter Quarter.
      Prerequisites:
      MAT 335 is a prerequisite for this class.

      MAT 301

      HISTORY OF MATHEMATICS

      History of mathematics with problem solving.
      Prerequisites:
      MAT 141 or MAT 215 is a prerequisite for this class.

      MAT 302

      COMBINATORICS

      Methods of counting and enumeration of mathematical structures. Topics include generating functions, recurrence relations, inclusion relations, and graphical methods.
      Prerequisites:
      MAT 141 or MAT 215 is a prerequisite for this class.

      MAT 303

      THEORY OF NUMBERS

      A study of properties of integers: divisibility; Euclid's Algorithm; congruences and modular arithmetic; Euler's Theorem; Diophantine equations; distribution of primes; RSA cryptography.
      Prerequisites:
      MAT 141 or MAT 215 is a prerequisite for this class.

      MAT 312

      ABSTRACT ALGEBRA III

      Continuation of 311.
      Prerequisites:
      MAT 311 is a prerequisite for this class.

      MAT 320

      GEOMETRY I

      Incidence and separation properties of plane; congruence; parallel postulate; area theory; ruler and compass construction.
      Prerequisites:
      MAT 141 or MAT 215 is a prerequisite for this class.

      MAT 321

      GEOMETRY II

      Introduction to solid geometry and noneuclidean geometry (hyperbolic and spherical models); other special topics.
      Prerequisites:
      MAT 320 is a prerequisite for this class.

      MAT 337

      COMPLEX ANALYSIS

      Complex functions; complex differentiation and integration; series and sequences of complex functions.
      Prerequisites:
      MAT 261 and MAT 335 is a prerequisite for this class.

      MAT 304

      DIFFERENTIAL EQUATIONS

      Linear equations, systems with constant coefficients, series solutions, Laplace transforms, and applications. Formerly MAT 338. CO-REQUISITE(S): MAT 261.
      Prerequisites:
      MAT 261 is a corequisite for this class.

      MAT 340

      TOPOLOGY

      An introduction to point-set topology: metric spaces, topological spaces, continuity, connectedness, and compactness.
      Prerequisites:
      (MAT 141 or MAT 215) and (MAT 220 or MAT 262) is a prerequisite for this class.

      MAT 348

      APPLIED STATISTICAL METHODS

      Introduction to statistical software (which will be used throughout the course). Descriptive statistics; elementary probability theory; discrete and continuous probability models; principles of statistical inference; Simple linear regression and correlation analysis.
      Prerequisites:
      MAT 148 or MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.

      MAT 351

      PROBABILITY AND STATISTICS I

      Probability spaces, combinatorial probability methods, discrete and continuous random variables and distributions, moment generating functions, development and applications of the classical discrete and continuous distributions.
      Prerequisites:
      MAT 261 is a prerequisite for this class.

      MAT 352

      PROBABILITY AND STATISTICS II

      Joint probability distributions and correlation; law of large numbers and the central limit theorem; sampling distributions and theory of estimation.
      Prerequisites:
      MAT 351 is a prerequisite for this class.

      MAT 353

      PROBABILITY AND STATISTICS III

      Principles of hypothesis testing; most powerful tests and likelihood ratio tests; linear regression; one-way analysis of variance; categorical data analysis, nonparametric statistics.
      Prerequisites:
      MAT 352 is a prerequisite for this class.

      MAT 370

      ADVANCED LINEAR ALGEBRA

      Vector spaces, basis and dimension; matrix representation of linear transformations and change of basis; diagonalization of linear operators; inner product spaces; diagonalization of symmetric linear operators, principal-axis theorem, and applications. Cross-listed MAT 470.
      Prerequisites:
      MAT 262 and (MAT 141 or MAT 215) are a prerequisite for this class.

      MAT 372

      LOGIC AND SET THEORY

      Topics in axiomatic set theory, formal logic, and computability theory.
      Prerequisites:
      MAT 141 or MAT 215 is a prerequisite for this class.

      MAT 385

      NUMERICAL ANALYSIS I

      Use of a digital computer for numerical computation. Error analysis, Gaussian elimination and Gauss-Seidel method, solution of non-linear equations, function evaluation, cubic splines, approximation of integrals and derivatives, Monte Carlo methods. Cross-listed with MAT 485.
      Prerequisites:
      (MAT 220 or MAT 262) and (MAT 149 or MAT 152 or MAT 162 or MAT 172) is a prerequisite for this class.

      MAT 386

      NUMERICAL ANALYSIS II (CROSS-LISTED WITH MAT 486 & CSC 386/486)

      Theory and algorithms for efficient computation, including the Fast Fourier transform, numerical solution of non-linear systems of equations. Minimization of functions of several variables. Sparse systems of equations and corresponding eigenvalue problems.
      Prerequisites:
      MAT 385 is a prerequisite for this class.

      A&S 491

      ADMINISTRATIVE THEORY AND BEHAVIOR

      This course concerns theoretical concepts and empirical research relating to administrative behavior in organizations with special reference to educational organizations. Concepts are examined within the typical decisional framework of supervisors, chief school business officers, principles, and superintendents, and similar positions in the helping professions. Assignments are individualized.
      Prerequisites:
      Status as an Advanced Masters Education student is a prerequisite for this class.

      MAT 384

      MATHEMATICAL MODELING

      Modeling of real world problems using mathematical methods. Includes a theory of modeling and a study of specific models, selected from deterministic, stochastic, continuous, and discrete models. Cross-listed with MAT 484.
      Prerequisites:
      (MAT 220 or MAT 262) and (MAT 348 or MAT 351) are a prerequisite for this class.