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数学小

  • 数学小
  • 17 - 18单位
  • 微积分I
  • 4

This course will study differential 和 integral calculus in one variable through graphical, numerical 和 symbolic 方法. 限制, 连续性, 衍生品, 和 integrals will be studied with algebraic, 三角, exponential 和 logarithmic functions, including applications using calculus to solve problems. Prerequisite: A passing score on the Calculus Placement Exam, or consent of the department chair.

  • 微积分2
  • 4

的延续 m 271, this course will include a study of 方法 of integration, applied to algebraic 和 transcendental functions. 公转固体, de有限的 和 inde有限的 integrals, 泰勒多项式, 序列和系列, will be studied including applications using calculus to solve problems. Prerequisite: C- or better in m 271 or acceptable AP examination credit.

  • Choose three of the following courses:
  • MTH 313: 数学 Notation 和 Proof
  • 3

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, 和 construction of counter-examples. Application will be made to a field of mathematics such as set theory, algebra, or geometry. Prerequisite: C- or better in m 272.

  • MTH 371:线性代数
  • 3

This course will study properties of matrix arithmetic, systems of linear equations, 决定因素, 向量空间, 线性变换, 对角化, 内积, 和 applications of these topics. Prerequisite: C- or better in m 272.

  • MTH 373:微积分III
  • 4

作为 m 272, this course will include the study of vector calculus, three-dimensional calculus, 偏导数, 多重积分, 微分学, 和 other selected topics in vector calculus. Prerequisite: C- or better in m 272.

  • MTH 379: Numerical Analysis
  • 3

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. Prerequisite: C- or better in CSC 104m 272. 提供交替年.

  • MTH 380: Modern Geometry
  • 3

This course will provide a general study of deductive systems of geometry including Euclidean, 射影, 有限的, 和 other non-Euclidean geometries. 提供交替年. Prerequisite: C- or better in AMTH 101 or CMTH 101 or m 201 or m 252 or m 271 或同等.

  • MTH 384: Ordinary Differential Equations
  • 3

This course will cover the classification of differential equations along with first order equations, 具体差异, 整合的因素, higher order differential equations, method of undetermined coefficients, 参数变化, 操作方法, solution by in有限的 系列, 和 Laplace transformations. Prerequisite: C- or better in m 272. 提供交替年.

  • MTH 387: Probability 和 Statistics I
  • 3

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. Prerequisite: C- or better in m 373 (concurrent enrollment allowed). 提供交替年.

  • MTH 388: Probability 和 Statistics II
  • 3

的延续 m 387, this course will cover various multivariate probability distributions, bias 和 unbiased estimators, 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. Prerequisite: C- or better in m 387. 提供交替年.

  • MTH 473: Modern Algebra I
  • 3

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. Prerequisite: C- or better in m 313. 提供交替年.

  • MTH 474: Modern Algebra II
  • 3

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. Prerequisite: C- or better in m 473 or consent of instructor. 提供交替年.

  • MTH 489:真实分析
  • 3

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. Prerequisite: C- or better in m 313m 373. 提供交替年.

当前的学生, please note: The requirements listed here may not reflect the most current courses for this minor 和 may not be the requirements for the catalog year you are following to complete your minor. 详情请参阅 学术目录 for official requirements you must meet to qualify.


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