课程

This course covers the basic principles of computer programming 和 algorithm design using the C# programming language. The class addresses basic language syntax, 分支, 循环, 异常, I/O, 字符串处理, 最佳实践, 和 tools for writing quality computer programs. It also introduces the process of turning a program that was written in a high-level language into an intermediate language 和 how the operating system then loads 和 executes it. Students in the class will be able to write elementary programs that will run on the Microsoft .NET Framework 和 the open source equivalent, Mono.

This course will study differential 和 integral calculus in one variable through graphical, 数值和符号方法. 限制, 连续性, 衍生品, 和 integrals will be studied with algebraic, 三角, 指数函数和对数函数, including applications using calculus to solve problems. Prerequisite: A passing score on the Calculus Placement Exam, or consent of the department chair.

的延续 m 271, this course will include a study of 方法 of integration, applied to algebraic 和 transcendental functions. 旋转固体, 定积分和不定积分, 泰勒多项式, 序列与级数, will be studied including applications using calculus to solve problems. 前提条件:C-或C以上 m 271 或可接受的AP考试学分.

This course will introduce st和ard mathematical notation, 方法, 真值表, 和 principles of symbolic logic for use in determining the validity of arguments, dealing with proper notation 和 structure in mathematical proofs including direct 和 indirect proofs, 数学归纳法, 以及反例的构建. Application will be made to a field of mathematics such as set theory, algebra, or geometry. 前提条件:C-或C以上 m 272.

This course will study properties of matrix arithmetic, 线性方程组, 决定因素, 向量空间, 线性变换, 对角化, 内积, 以及这些主题的应用. 前提条件:C-或C以上 m 272.

作为 m 272, this course will include the study of vector calculus, 三维计算, 偏导数, 多重积分, 微分学, 和 other selected topics in vector calculus. 前提条件:C-或C以上 m 272.

This course will cover the classification of differential equations along with first order equations, 具体差异, 整合的因素, 高阶微分方程, 待定系数法, 参数变化, 操作方法, 无穷级数解, 和拉普拉斯变换. 前提条件:C-或C以上 m 272. 提供隔年.

This course will look at the probability 和 combinatorics; discrete 和 continuous r和om variables; the normal, γ, 卡方, 泊松, 和 binomial distributions with applications. 前提条件:C-或C以上 m 373 (允许同时注册). 提供隔年.

This course will study the properties 和 operations within 组, 环, 积分域, 字段, 正常的子组, 商集团, 同态, 和同构. 前提条件:C-或C以上 m 313. 提供隔年.

This course will provide an introduction to the advanced study of the real number system, 和 the ideas 和 proof techniques specific to mathematical analysis. Topics include properties of the real numbers, 序列, 系列, 限制, 连续性, 和分化. 前提条件:C-或C以上 m 313 和 m 373. 提供隔年.

As the first of two (2) capstone courses for all mathematics majors, 学生 will meet as a group once per week to review competencies in the major, 进行小组范围的评估, 和 complete a preliminary research abstract on a topic of their choice as they work with a faculty mentor followed by a short presentation to their peers 和 faculty regarding their preliminary findings for reaction 和 feedback. 先决条件:高级职位.

As the second of two (2) capstone courses for all mathematics majors, 学生, 与教师导师一起工作, 将完成他们的研究从 m 495 on a written project 和 present their findings to a committee of peers 和 faculty. Inclusion of the research project in the President's 学术展示 for 本科 Research is encouraged. 先决条件:高级职位.

This course serves as an introduction to the basic algorithms of numerical analysis. Topics may include numerical solutions of algebraic equations, interpolation 和 approximation 方法, approximate numerical solutions to systems of linear 和 non-linear equations, 和 numerical differentiation 和 integration. 前提条件:C-或C以上 CSC 104 和 m 272. 提供隔年.

This course will provide a general study of deductive systems of geometry including Euclidean, 射影, 有限的, 和其他非欧几里德几何. 提供隔年. 前提条件:C-或C以上 AMTH 101 or CMTH 101 or m 201 or m 252 or m 271 或同等.

的延续 m 387, this course will cover various multivariate probability distributions, 偏和无偏估计量, 最小二乘估计, 方差分析 , 块设计, 和 a revisit of hypothesis testing 和 a study of nonparametric statistics. 前提条件:C-或C以上 m 387. 提供隔年.

This course is a continuation of the study of the properties 和 operations within 环, 积分域, 字段, 商环, 组, 子组, 同态和同构. 前提条件:C-或C以上 m 473 或者导师的同意. 提供隔年.