001 Mathematics Workshop (2).
Reviews essential mathematics for students returning to math. Emphasizes mastery of skills required for success in intermediate algebra and related courses. CRD/NCR only.

102 Intermediate Algebra (3*-4).
Reviews arithmetic fractions and polynomials; concentrates on linear and quadratic equations, exponents, radicals, and linear graphs. CRD/NCR only. Prereq.: MATH 001, or one year of high school algebra and a passing score on placement exam. NCh.

104 College Algebra (3*-4).
Emphasizes problem-solving skills and applications. Includes linear and quadratic equations, inequalities, systems and matrices, polynomials, functions, exponentials, logarithms, and graphing. Prereq.: MATH 102, or two years of combined high school algebra/geometry and a passing score on placement exam. GEM.

105 Precalculus (3*-4).
Reviews equations and inequalities, systems and polynomials; concentrates on functions, graphing, complex numbers, theory of equations, and trigonometry in preparation for calculus or science courses. Prereq.: C- or better in MATH 104, or C- or better in two years of high school algebra and a passing score on placement exam. GEM.

106 Trigonometry (3).*
Reviews College Algebra. Fundamentals of trigonometric functions and relations, identities, triangles, vectors, and complex numbers. Prereq.: MATH 104.

170 Mathematics in Society (4).
Introduces contemporary mathematical sciences to the nonspecialist through real-world applications. Includes concepts from management science, statistics and probability, and social decision theory, and selected topics from geometry, scale and growth, and coding theory. Prereq.: MATH 102, or two years of combined high school algebra/ geometry and a passing score on placement exam. GEM.

172 Mathematical Methods for Business and Economics (4).
Explores selected topics in analytic geometry and calculus. Develops applied mathematics as employed in business for the modeling, analysis, and solution of real problems and data sets. Prereq.: MATH 102, or passing score on placement examination. GEM.

201 Calculus I (3*-4).
Introduces standard topics in differential and integral calculus of functions of one variable including a review of analytic geometry. Prereq.: MATH 105 with a C or better, or a passing score on placement exam. GEM.

202 Calculus II (3*-4).
Continuation of 201, with an emphasis on transcendental functions and various techniques and applications of integration. Introduces the calculus of functions of two variables. Prereq.: MATH 201 with a C or better. GEM.

210 Introduction to Computer Utilization (3*-4).
Introduces computers and related technologies. Presents fundamentals and applications of BASIC computer programming, word processing, spreadsheet analysis, and database manipulation using popular software packages.

210L Introduction to Computer Utilization Lab (1).*
Laboratory to accompany 210 when the latter is taken for 3 units. Coreq.: MATH 210. NCh.

263 PASCAL (4).
See CMPS 263. NCh.

289 Mathematics Field Experience (1).
Includes attendance at a professional mathematics meeting, math tutoring, and 8 hours of math classroom observation. Prereq.: MATH 202.

301 Programming Concepts (4).
See CMPS 301.

305 Transition to Advanced Mathematics (3-4*).
Introduces abstraction in math. Includes set theory, symbolic logic, number theory, abstract algebra, and analysis. Explores rigorous proof and oral and written expression of mathematical concepts. Prereq.: MATH 202.

311 Calculus III (3*-4).
Continuation of the theory of functions of one and two variables including infinite series, polar coordinates, vectorvalued functions, and multiple integrals. Prereq.: MATH 202 with a C- or better.

315 Differential Equations (4).
Elementary differential equations with applications. First and second-order linear and higher order equations, series solutions, operator, matrix, and numerical techniques. Prereq.: MATH 311.

319 Vector Calculus (4).
Calculus of several variables including multidimensional differentiation and integration, and major theorems of vector analysis: Green's theorem, Stokes' theorem, divergence theorem. Prereq.: MATH 311.

320 Linear Algebra (4).
An introduction to vector spaces, linear transformations, matrices, eigenvalues and eigenvectors, diagonalization of matrices, inner product spaces, and applications. Prereq. or Coreq.: MATH 305.

325 Number Theory (4).
Divisibility theory, Diophantine equations, congruences, number theoretic functions, Fibonacci numbers, fundamental theorems, and statements of open problems. Prereq. or Coreq.: MATH 305.

327 Discrete Mathematics (4).
Development of mathematical tools necessary for algorithmic applications in computer science. Includes set theory and logic, various algebraic structures, graph theory, Boolean algebra, and computability theory. Emphasizes applications in computer science. Prereq.: MATH 201.

328 Abstract Algebra (4).
Introduction to sets, groups, rings, fields, and vector spaces, with applications. Prereq. or Coreq.: MATH 305.

330 Foundations of Geometry (4).
Foundations of and topics from Euclidean and non- Euclidean geometries, projective geometry, invariant theory, and applications. Prereq. or Coreq.: MATH 305. Directed study only.

342 Analytical Mechanics (4).
See PHYS 342.

351 Probability (4).
Algebra of events, random variables, standard distributions, expected values, variance, and Markov chains. Prereq.: MATH 201.

352 Statistical Theory (3*-4).
Introduces theory and practical applications of statistical inference including estimation of parameters, confidence intervals, hypothesis testing, ANOVA , regression analysis, and experimental design. Prereq.: MATH 351. Directed study only.

361 FORTRAN (3*-4).
Computer programming in FORTRAN at an intermediate level as implemented on VAX or microcomputers. Various techniques and algorithms with emphasis on problem-solving. Prereqs.: Two years of algebra; MATH 210, 363, or equivalent programming experience.

361L FORTRAN Lab (1).*
Laboratory to accompany 361 when the latter is taken for 3 units. Coreq.: Math 361 for three semester hours.

362 Numerical Algorithms (4).
See CMPS 362. NCh.

367 Object Oriented Language C++ (4). See CMPS 367.

370 Topics in Applied Mathematics (4).
Develops basis and techniques for algorithmic solutions for applied problems in graph theory, operations research, dynamical systems, and game theory. Includes NP-complete problems, cryptography, linear programming, chaos, fractals, and social decision-making theory. Prereq.: MATH 202. MATH 311, 320, and 330 recommended.

375 Mathematical Modeling (4).
Introduces mathematical modeling, model construction, solution techniques, and interpretations. Utilizes advanced mathematical and computer tools. Prereq.: MATH 311. MATH 315 and/or 319 recomm ended.

389 Developmental Mathematics (4).
Emphasizes development of mathematical understanding in seven strands: number, measurement, geometry, patterns and functions, statistics and probability, logic, and algebra. Not applicable toward the Mathematics Major. Prereq.: MATH 104 or 105. NCh.

410 Real Analysis (4).
Introduces advanced calculus and real analysis. Includes properties of real numbers, metric spaces, the Heine-Borel and Weierstrass theorems, continuity and uniform continuity, sequences and series of functions, differentiation and Riemann integration, and elementary measure theory. Prereqs.: MATH 311 and 320 or 328.

412 Complex Analysis (4).
Introduces complex analysis. Includes properties of complex numbers, analytic functions, differentiation and integration, series, residues and poles, basic conformal mapping, and applications. Prereq.: MATH 319 or 418.

418 Advanced Engineering Math (4).
Mathematical concepts, theory, and methods of solution for problems in physics and engineering. Topics include ordinary and partial differential equations, Laplace transforms, Fourier series and transforms, and various theorems in vector analysis. Prereq.: MATH 311.

482 History of Mathematics (4).
Surveys the development of elementary mathematics from antiquity to the present. Prereq.: MATH 201 or instructor's approval.