Department of Mathematics
Department Chair: Christopher Hill, Ph.D.
Faculty
M. Cox, Ph.D.
C. Hill, Ph.D.
M. Klucznik, Ph.D.
T. Mobley, M.A.
C. Uhl, Ph.D.
数学在揭示和量化每一个人类学科的模式方面具有非凡的有效性,这使得数学学位非常有价值,用途广泛. 该部门提供了一个专业,为学生准备了无数的职业生涯, ranging from business to industry to government to secondary education, as well as for graduate school. Non-majors may obtain a minor in mathematics. Visit the department at http://wzeg.infographil.com/math.
Mathematics (MATH)
MATH-107 INTRODUCTION TO STATISTICS (3 Credits)
This course is a non-calculus-based study of statistics, including descriptive methods, basic probability theory, some design and data-collection issues, and procedures for statistical inference. 统计推断的主题包括均值和比例的置信区间和假设检验以及卡方检验. Emphasis is on set-up and interpretation rather than on computation, 大量依赖计算机软件和/或统计计算器进行分析的“数字运算”部分. Students mays not receive credit for both MATH 107 and MATH 117. MATH 107 includes all content in MATH 117 except ANOVA, and consequently moves at a slower pace than MATH 117.
MATH-108 PRECALCULUS (3 Credits)
本课程提供了微积分成功所需主题的详细研究:代数, trigonometry, analytic geometry, and functions. 本课程适用于需要学习至少一个学期微积分课程的学生. Offered fall.
Restrictions: RG.MA151
MATH-111 MATHEMATICS OF ELEMENTARY EDUCATION I (3 Credits)
This course, in conjunction with Math 112, 是为了让职前小学教师对他们将要教授的数学系统有一个深刻的理解. 《贝博官网app体彩网》的内容包括整数的算术系统, the integers, and the rationales (at least in fraction form). For each system, 学生不仅要懂得如何进行四种算术运算, but also to understand what those operations accomplish in real life, why the operations work the way they do, 以及如何以具体或半具体的方式对这些操作进行建模或表示. The study of the integers will include some basic number theory concepts. 在数学111的所有主题的基础是估计和心算的概念, problem solving, mathematical communication, 把数学看成是一个逻辑和感性的系统,而不是一套死记硬背的程序. Intended for elementary education majors. Offered fall.
Restrictions: RGALLED
MATH-112 MATHEMATICS FOR ELEMENTARY EDUCATION II (3 Credits)
This course is a continuation of Math 111, 以同样的哲学和重点实现对小学数学的深刻理解. 数学112的内容包括实数系统(由终止组成), repeating, and non-repeating decimals), percents and proportions, probability, descriptive statistics, measurement (in English, metric, and non-standard units), and an overview of basic terminology and concepts from geometry. Intended for elementary education majors. Offered spring.
Prerequisite(s): Take MATH-111
Restrictions: RGALLED
自然科学专业数学-117统计学导论(3学分)
这种不以微积分为基础的统计学研究包括描述性方法, basic probability theory, some design and data-collection issues, and procedures for statistical inference. 统计推断的主题包括均值和比例的置信区间和假设检验, Chi-squared tests, and one-way and two-way ANOVA. Emphasis is on set-up and interpretation rather than on computation, 大量依赖计算机软件和/或统计计算器进行分析的“数字运算”部分. Students mays not receive credit for both MATH 107 and MATH 117. MATH 117 includes all content in MATH 107, 但以更快的速度移动,以允许包含方差分析主题.
MATH-122 CALCULUS FOR MANAGEMENT AND SOCIAL SCIENCES (3 Credits)
本课程介绍微分和积分微积分在管理和社会科学中的应用. 本课程强调问题的建模和结果的解释,而不是理论. 已经成功修完数学151的学生可以不修这门课. Although there is no prerequisite, students are encouraged to take QMX 210 before attempting MATH 122.
MATH-135 QUANTITATIVE REASONING (3 Credits)
本课程使学生能够将定量推理技巧应用到日常生活中. The topics include numerical reasoning, logical reasoning, and statistical reasoning, 都适用于21世纪公民面临的各种问题.
MATH-145 INTRODUCTION TO MATHEMATICAL CONCEPTS (3 Credits)
数学145的目的是通过探索他们在高中可能没有见过的主题,并用当代现实世界的应用来说明它们,培养学生对数学的欣赏和成就感. 本课程主要面向文科专业的学生. The topics of the course may vary from semester to semester, but the topics covered most often are graph theory, social choice, coding, and symmetry.
Restrictions: MATH151T
MATH-151 CALCULUS I (4 Credits)
The study of calculus of functions of one variable. The course covers rates of change, limits, the derivative, the definite integral, the Fundamental Theorem of Calculus, area and average value, and exponential growth and decay. All topics are treated with an emphasis on graphical interpretation. 先决条件:代数和三角学的理解在数学108的水平.
MATH-152 CALCULUS II (4 Credits)
A continuation of MATH 151 that includes methods of integration, numerical integration, applications of the definite integral, Taylor polynomials and approximations, and infinite sequences and series.
Prerequisite(s): Take MATH-151
MATH-199 READINGS IN MATHEMATICS (1-3 Credits)
本课程为感兴趣的学生提供了一个在教师监督下探索现有课程范围之外的数学领域的机会. 本学期的主题和内容(以及评分计划)必须在课程纳入课程之前由系主任批准. The course is not open to mathematics majors.
MATH-207 DISCRETE MATHEMATICS I (3 Credits)
An introduction to topics in discrete mathematics, including logic, set theory, functions and sequences, methods of proof, algorithms, number theory, counting, and discrete probability.
MATH-208 DISCRETE MATHEMATICS II (3 Credits)
A continuation of MATH 207 that includes advanced counting techniques, relations, graphs and trees, Boolean algebra, languages and grammars, and finite state machines. 已经成功修完数学345的学生可以不修这门课.
Prerequisite(s): Take MATH-207
MATH-211 GEOMETRY FOR ELEMENTARY EDUCATION (3 Credits)
An intuitive approach to geometry whose topics include angles, polygons, circles, parallelism, area, perimeter, similarity, congruence, volume, and surface area. Transformations are studied and applied to tessellations and symmetry. The course contains some proofs, 但大多数结果是通过非正式论证和归纳推理的方式得出的. A dynamic geometry software package is used. Intended for elementary education majors. Offered spring.
Prerequisite(s): Take MATH-112
MATH-241 LINEAR ALGEBRA (3 Credits)
An introduction to linear algebra and its applications. Topics include systems of linear equations, vectors, matrices, linear geometry, vector spaces, dimension, and linear transformations. Offered spring.
MATH-251 CALCULUS III (4 Credits)
The study of calculus of functions of several variables. Topics include vectors and graphs in three dimensions, partial derivatives and their applications, multiple integrals and their applications, and line surface integrals. Offered fall.
Prerequisite(s): Take MATH-152
MATH-252 ORDINARY DIFFERENTIAL EQUATIONS (3 Credits)
An introduction to ordinary differential equations. Topics include modeling, analytic solutions, qualitative study of solutions, and numerical approximation of solutions. Offered spring.
Prerequisite(s): Take MATH-152
MATH-281 PROBLEM-SOLVING SEMINAR (1 Credit)
数学解决问题的技巧被研究并应用于广泛的问题. Students present their solutions for class discussion. 本课程准备学生参加普特南考试,如果他们希望这样做. Offered fall.
MATH-312 GEOMETRY (3 Credits)
This course views mathematics as comprised of axiomatic systems, 并通过对欧几里得几何和非欧几里得几何的研究来说明这一观点. The course includes Euclidean constructions, 以及转换和坐标/分析方法作为合成几何的替代品. A dynamic geometry computer software package is used as appropriate. Offered in fall of even numbered years.
MATH-322 MATHEMATICAL PROBABILITY (3 Credits)
本课程是以微积分为基础的概率论研究,包括基本的概率论定理, the notions of discrete and continuous random variables, mathematical expectation, moment-generating functions, change of variable, multivariate distributions, product moments, and the Central Limit Theorem in preparation for inferential statistics. Offered spring of odd years.
MATH-323 MATHEMATICAL STATISTICS (3 Credits)
This course is a calculus-based study of statistics. 本课程包括对实验设计和数据收集中的一些问题的简要概述, 接着是对方法推理的技巧和解释的仔细研究, variances, proportions, regression, and correlation. Computers and/or calculators are used in these analyses. Some time is devoted to non-parametric procedures. Offered fall of odd years.
Prerequisite(s): Take MATH-322
MATH-341 ABSTRACT ALGEBRA I (3 Credits)
This proof-intensive, 理论课探讨广义代数结构的性质, focusing primarily on groups, rings, integral domains, and fields. 举例说明包括实数系统和它的几个子系统, permutation groups, groups of functions under composition, modular arithmetic, the complex numbers, and matrices. Offered fall of even years.
MATH-351 INTRODUCTION TO REAL ANALYSIS I (3 Credits)
This proof-intensive, 理论课讲授单实变量函数数学分析的基本原理和理论, including the topology of the real number system, sequences, limits, continuity, differentiation, integration, infinite series of real numbers, and infinite series of functions. Offered fall of odd years.
MATH-409 SPECIAL TOPICS (3 Credits)
MATH-409B SP TOP:PROBLEM SOLVING SEMINAR (3 Credits)
MATH-413 NUMBER THEORY (3 Credits)
数论是研究数字,特别是正整数性质的学科. 这门学科深刻而美丽,与数学的许多其他领域以及计算机科学都有联系, physics, and cryptography. Topics presented vary by instructor, but often include divisibility, congruences, the distribution of primes, Diophantine equations, and selected applications.
Prerequisite(s): Take MATH-207
MATH-453 COMPLEX VARIABLES (3 Credits)
A study of the complex number system, functions of a complex variable, and calculus concepts applied to such functions.
Prerequisite(s): Take MATH-251
MATH-455 TOPOLOGY (0 Credits)
MATH-487 SPECIAL TOPICS APPLIED MATH. (3 Credits)
MATH-487B SP TOPl DATA SCIENCE II (3 Credits)
MATH-487D SP TOP: DATA SCIENCE WITH PYTHON (3 Credits)
MATH-492 SENIOR COMPREHENSIVE PROJECT (1 Credit)
The project consists of selecting a topic relating to, but beyond the usual scope of, a 300- or 400- level mathematics course, writing a paper on the topic, 然后把论文交给数学系和其他数学专业的学生. 论文和演讲是在一位数学教员的指导下编写的, typically the one who taught the course to which the topic relates.
Restrictions: RG.86+