# Descriptions of Mathematics

MATH 310 |
Patterns and Structures in Mathematics |
3.0 Fa/Spr |

Prerequisites : MATH 110, MATH 111.

An intuitive investigation into mathematics to find recurrent themes. Problem-

solving techniques and a search for patterns will be used throughout

a discussion of topics such as modular arithmetic, complex numbers,

mathematical sequences and their applications. Not acceptable for a

mathematics major or minor. (005542)

MATH 311 |
Intuitive Foundations of Geometry |
3.0 Fa/Spr |

Prerequisites: MATH 110, MATH 111.

An intuitive approach to problem-solving in coordinate geometry , motion

geometry, and space geometry. Concrete models will be used for analyzing

abstract ideas. Not acceptable for a mathematics major or minor.

(005543)

MATH 314 |
Probability and Statistics for Science and Technology |
4.0 Spring |

Prerequisites: MATH 121.

Basic concepts of probability and statistics with emphasis on models used

in science and technology. Probability models for statistical estimation

and hypothesis testing. Confidence limits. One- and two-sample inference,

simple regression , one- and two-way analysis of variance. Credit

cannot be received for both MATH 350 and MATH 314. (005533)

MATH 315 |
Applied Statistical Methods I |
3.0 Fall |

Prerequisites: MATH 105 or MATH 350 or faculty permission.

Introduction to common procedures used to analyze data. Single and

two sample inference, analysis of variance, multiple regression, analysis

of co-variance, experimental design, repeated measures, nonparametric

procedures, and categorical data analysis. Examples are drawn from biology

and related disciplines. Statistical packages are introduced. Appropriate

for biology, agriculture, nutrition, psychology, social science and other

majors. Special fee required; see the Class Schedule. (005568)

MATH 330 |
Methods of Proof |
3.0 Fa/Spr |

Prerequisites: MATH 121.

A survey of elementary principles of logic , emphasizing the nature of

proof. Standard methods of proof will be illustrated with examples from

various branches of mathematics, including set theory and the theory of

functions and relations. Other possible sources of examples include the

calculus, number theory , theory of equations, topology of the real line.

(005530)

MATH 333 |
History of Mathematics |
3.0 Spring |

Prerequisites: MATH 220 and at least one upper- division
mathematics course. MATH

330 is recommended.

Study of the historical development of mathematics, with particular emphasis

on the relationship between mathematics and society. (005531)

MATH 337 |
Introduction to the Theory of Numbers |
3.0 Fall |

Prerequisites: MATH 121, MATH 330.

Basic properties of the integers , division algorithm, fundamental theorem

of arithmetic, number-theoretic functions, Diophantine equations, congruences,

quadratic residues, continued fractions . (005585)

MATH 341 |
Mathematical Topics for the Credential |
3.0 Fall |

Prerequisites: MATH 121.

This course is designed to supplement the mathematical background of

the candidate for the single subject credential in mathematics. The mathematical

topics will be discussed from the student’s and the teacher’s points

of view to aid the candidate in making the transition to secondary school

mathematics. Topics include mathematical problem-solving, conceptual

ideas using algebra, geometry, and functions, incorporating technology

into the mathematics curriculum, and finite systems. (005544)

MATH 342 |
Math Topics for the Credential |
3.0 Spring |

Prerequisites: MATH 341.

This course focuses on having students examine mathematical pedagogy

and the understanding and evaluations of students as mathematical learners

as it analyzes secondary mathematics curriculum from an advanced

standpoint. Students will have opportunities to be involved in the facilitation

of mathematical learning. Topics include: history of mathematics

education, contemporary mathematics curricula, problem solving, mathematical

reasoning and methods of proof, mathematical learning theories,

communication, assessment and collaborative learning communities.

(005545)

MATH 344 |
Combinatorial Mathematics and Graph Theory |
3.0 Fall |

Prerequisites: MATH 121, MATH 330.

The analysis of mathematical and applied problems through the use of

permutations and combinations, generating functions and recurrence relations.

Directed graphs , trees, connectivity, and duality. (005591)

MATH 346 |
College Geometry |
3.0 Spring |

Prerequisites: MATH 220, MATH 330.

An exploration of axioms and models for Euclidean and non-Euclidean

geometries focusing on the independence of the Parallel Postulate. Additional

topics will be chosen from Euclidean plane geometry, transformation

geometry, and the geometry of polyhedra. (005561)

MATH 350 |
Introduction to Probability and Statistics |
3.0 Fall |

Prerequisites: MATH 121.

Basic concepts of probability theory, random variables and their distributions ,

limit theorems, sampling theory, topics in statistical inference,

regression, and correlation. (005534)

MATH 351 |
Introduction to Probability and Statistics |
3.0 Spring |

Prerequisites: MATH 350.

Continuation of MATH 350. (005535)

MATH 360 |
Ordinary Differential Equations |
3.0 Spring |

Prerequisites: MATH 260.

Systems of first order linear equations, existence and uniqueness

theorems, stability, Sturm separation theorems, power series methods.

(005538)

MATH 361 |
Boundary Value Problems and Partial Differential Equations |
3.0 Fall |

Prerequisites: MATH 260.

Partial differential equations, separation of variables, orthogonal sets of

functions, Sturm-Liouville problems, Fourier series, boundary value problems

for the wave equation, heat equation, and Laplace equation; Bessel

functions, Legendre polynomials . (005540)

MATH 398 |
Special Topics in Mathematics |
1.0–3.0 Fa/Spr |

Prerequisites: At least one 100- or 200-level mathematics
course appropriate to the

subject, faculty permission.

This course is for special topics offered for 1.0-3.0 units. Typically the

topic is offered on a one-time-only basis and may vary from term to term

and be different for different sections. See the Class Schedule for the specific

topic being offered. (005559)

MATH 399 |
Special Problems |
1.0–3.0 Fa/Spr |

This course is an independent study of special problems
offered for 1.0-

3.0 units. You must register directly with a supervising faculty member.

MATH 399 cannot be used to fulfill major requirements without prior

approval of the advisor and department chair. You may take this course

more than once for a maximum of 6.0 units. Credit/no credit grading only.

(005560)

MATH 420 |
Advanced Calculus |
3.0 Fa/Spr |

Prerequisites: ENGL 130 (or its equivalent ) with a grade
of C- or higher, MATH 220,

MATH 330, upper-division standing.

Limits, continuity, uniform continuity, the definite integral, series,
convergence,

uniform convergence, and metric spaces. Differentiation and

integration of functions of several variables. Transformation of multiple

integrals. This is a writing proficiency, WP, course; a grade of C- or better

certifies writing proficiency for majors. (005575)

MATH 421 |
Advanced Calculus |
3.0 Spring |

Prerequisites: MATH 420.

Continuation of MATH 420. (005576)

MATH 426 |
Projective Geometry |
3.0 Inquire |

Prerequisites: MATH 220, MATH 330.

Axiomatic geometry of the projective plane. Duality, collineations,
correlations,

polarities, and conics. (005564)

MATH 427 |
Convexity |
3.0 Inquire |

Prerequisites: MATH 220, MATH 330.

The isoperimetric problem and other extremum problems. Sets of constant

width. Linear programming . (005565)

MATH 428 |
Differential Geometry |
3.0 Inquire |

Prerequisites: MATH 220, MATH 330.

The geometry of curves and surfaces in Euclidean 3-space. (005566)

MATH 429 |
Transformational Geometry |
3.0 Inquire |

Prerequisites: MATH 220, MATH 330.

Similarity groups, affine groups, projective groups and their invariants . 3.0

hours discussion. (005567)

MATH 435 |
Linear Algebra |
3.0 Fall |

Prerequisites: MATH 220, MATH 235, MATH 330.

Vector spaces, linear operators, bilinear forms and scalar products,

unitary spaces; matrix polynomials, eigenvalues, and Jordan normal form.

(005581)

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