(2003-2004 Academic Year - the printed bulletin takes precedence over any information displayed herein)

REMEDIAL

MATH 006 Introductory Algebra (4)

Review of arithmetic and a study of elementary algebra. This course will emphasize problem solving using algebra. Does not apply toward any mathematics or computer science program, or toward the general requirements in natural sciences and mathematics.

Prerequisite: Appropriate score on placement examination.

MATH 007 Intermediate Algebra (4)

Techniques for handling polynomial and rational expressions, solutions of equations, exponents and logarithms, the quadratic equation, graphs. The course reviews high school algebra I and covers the standard topics of high school algebra II. Does not apply toward any mathematics or computer science program, or toward the general requirements in natural science and mathematics.

Prerequisite: MATH 006 or appropriate score on placement examination.

MATH 115 Applications of Mathematics (4)

This course examines how mathematics applies to real-world problems. Applications will be chosen from topics such as: methods of voting and of apportionment; the mathematics of money; probability; paths and networks; number theory; games; truth tables and arguments; and tessalations and polyhedra. Does not apply toward any mathematics or computer science program.

Prerequisite: MATH 007 or appropriate score on placement examination.

MATH 121 College Algebra (4)

Manipulation techniques for polynomial, rational, exponential, and radical expressions. Properties of the exponential and logarithmic functions. Solutions of systems of equations and inequalities. Complex numbers, theory of equations, curve sketching, sequences and series. Does not apply toward any mathematics or computer science program.

Prerequisite: MATH 007 or secondary school algebra II.

MATH 122 Trigonometry and Analytical Geometry (4)

Standard trigonometric identities, sine and cosine rules, two- and three-dimensional applications, complex numbers, DeMoivre’s theorem, n-th roots of unity. Equations of straight lines and conics; identification of conics and their basic geometrical properties. Does not apply toward any mathematics or computer science program.

Prerequisite: MATH 121 or consent of the instructor.

MATH 131 Calculus I (4)

Functions, limits, continuity, definition of derivatives, techniques of differentiation, applications of derivatives, definite and indefinite integral, mean value theorem, fundamental theorem of calculus.

Prerequisite: MATH 121, 122, or secondary school equivalent.

MATH 132 Calculus II (4)

Calculus of transcendental functions, techniques of integration, applications of integration, indeterminate forms, improper integrals.

Prerequisite: MATH 131 or secondary school equivalent.

MATH 133 Calculus III (4)

Taylor series, plane curves, polar, cylindrical and spherical coordinates, solid analytic geometry, vector-valued functions, partial differentiation and applications, multiple integrals and applications.

Prerequisite: MATH 132.

MATH 201 Concepts of Mathematics I (4)

Topics from natural, integer, rational and real number systems; computer literacy, set algebra, elementary logic, and mathematics history. Does not apply toward any mathematics or computer science program.

Prerequisite: MATH 007 or appropriate score on placement examination; one year of high school geometry or equivalent; CPTG 104 or equivalent.

MATH 202 Concepts of Mathematics II (4)

Topics from set algebra, elementary logic, geometry, probability, statistics and mathematics history. Does not apply toward any mathematics or computer science program.

Prerequisite: MATH 121 or MATH 201.

MATH 231 Introduction to Linear Algebra and Discrete Mathematics (4)

Matrix algebra and determinants, systems of linear equations; introduction to relations, digraphs, and trees.

Prerequisite: MATH 132 or consent of the instructor.

MATH 232 Differential Equations (4)

Ordinary differential equations: operator methods, variation of parameters, series solutions, introduction to numerical methods. Fourier series.

Prerequisite: MATH 133 and 231 or consent of the instructor.

MATH 233 Vector Calculus (4)

Vector fields, vector calculus, divergence, and theorems of Green and Stokes.

Prerequisite: MATH 231 or consent of the instructor.

MATH 251 Introduction to Statistics I (4)

Basic concepts of probability, descriptive statistics, normal distribution, hypothesis testing applied to means, power, chi-square, introduction to correlation and regression, and simple analysis of variance. Does not apply toward any mathematics program or the Bachelor of Science in Computer Science. Not open to students who previously earned credit in BUAD 341.

Prerequisite: MATH 121 or consent of instructor.

MATH 252 Introduction to Statistics II (4)

Correlation and regression, alternate correlation techniques, analysis of variance, multiple comparisons among treatment means, factorial analysis of variance, repeated-measures designs, multiple regression. Use of a computer statistical package.

Prerequisite: MATH 251 or consent of instructor.

MATH 261, 262 Finite Math for Business I, II (4,4)

Review of arithmetic and elementary algebra including linear and quadratic equations. Arithmetic and geometric progressions and depreciations. Interest and dated values. Combinatorics and introduction to probability. Introduction to descriptive statistics. Does not apply toward any mathematics or computer science program.

Prerequisite: Admittance to EADP program. Two years of high school algebra or equivalent.

MATH 276 Discrete Mathematics (4)

Introduction to the foundations of discrete mathematics as they apply to computer science, focusing on providing a solid theoretical foundation for further work. Topics include functions, relations, sets, proof techniques, Boolean algebra, fundamentals of counting, elementary number theory, recurrence relations, graphs, trees, and discrete probability.

Prerequisite: CPTG 121 or MATH 131.

MATH 299 Directed Study (1-4)

May be repeated for additional credit with consent of the department chair.

UPPER DIVISION

MATH 324 Linear Algebra (4)

Vector spaces, linear transformations, matrices and determinants, eigenvalues and eigenvectors, canonical forms. Offered alternate years.

Prerequisite: MATH 231, 232, 233; or consent of the instructor.

MATH 345 College Geometry (4)

Elementary and modern plane euclidean geometry. Topics chosen from noneuclidean geometry, foundations of geometry. Offered alternate years.

Prerequisite: MATH 231, 232, 233; or consent of the instructor.

MATH 361, 362 Numerical Methods I, II (4, 4)

Interpolation and approximation, numerical differentiation and integration; solutions of nonlinear equations, systems of equations, eigenvalues, numerical solutions to differential equations, error analysis. Offered alternate years.

Prerequisite: CPTG 121; MATH 231, 232; or consent of the instructor.

MATH 376 Discrete Structures (4)

An algorithmic approach to combinatorics and graph theory, including recurrence relations, generating functions, inclusion-exclusion. Offered alternate years.

Prerequisite: CPTG 121 or 186 (4 units); MATH 231, 232; or consent of the instructor.

MATH 415 Sets and Number Systems (4)

Introduction to informal axiomatic set theory; systematic development of the natural, integer, rational, and real number systems; topological properties of the real line. Offered alternate years.

Prerequisite: MATH 231, 232, 233; or consent of the instructor.

MATH 421, 422 Abstract Algebra I, II (4, 4)

Groups, quotient groups, rings, unique factorization domains, fields, field extensions, unsolvability of certain geometrical constructions. Offered alternate years.

Prerequisite: MATH 324 or consent of the instructor.

MATH 431, 432 Analysis I, II (4, 4)

The topology of the real line, metric spaces, uniform convergence and continuity, the derivative, the Reimann integral, outer measure. Offered alternate years.

Prerequisite: MATH 231, 232, 233, 415; or consent of the instructor.

MATH 451, 452 Introduction to Mathematical Statistics I, II (4, 4)

Probability, random variables, moment-generating functions, special distributions; large- and small-sample methods, theoretical frequency distributions, sampling theory, correlation and regression, testing goodness-of-fit, principles of estimation, hypothesis testing, nonparametric methods. Offered alternate years.

Prerequisite: MATH 231, 232, 233; or consent of the instructor.

MATH 461, 462 Biomathematical Modeling (4, 4)

Mathematical modeling of problems in the life sciences, including both deterministic and probabilistic models; computer simulations. Physiological and population problems studied. Offered alternate years.

Prerequisite: CPTG 121 or 186 (4 units); MATH 231, 232, 233; BIOL 104, 105,106; or consent of the instructor.

MATH 485 Mathematics Seminar (1/2-2)

Informal seminars dealing with topics chosen from areas of pure or applied mathematics or computer science, and which are not usually covered in regular mathematics or computer science courses. Level of accessibility may vary by topic. May be repeated with new content for additional credit. Four units maximum may be counted on the major.

Prerequisite: MATH 131, 132, 133; or consent of the instructor.

MATH 486 Topics in Mathematics (2-4)

Content determined by the interests of faculty and students, with specific areas listed in class schedule. May be repeated with new content for additional credit.

Prerequisite: MATH 233 or consent of the instructor.

MATH 499 Directed Study (1-4)

The study of topics or problems not covered in courses currently being taught. Limited to majors in the department. May be repeated for additional credit.

Prerequisite: Consent of the department chair.

UNST 404T Religious, Moral, and Social Aspects of Mathematics (1-4)

Religious and philosophical ingredients of world views, development of human values implicit in the scientific enterprise, and structure of belief in religion and science. Does not apply toward any mathematics or computer science programs.

Prerequisite: Consent of the instructor.