数学小

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.

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, de有限的 和 inde有限的 integrals, 泰勒多项式, 序列与级数, will be studied including applications using calculus to solve problems. Prerequisite: C- or better in m 271 or acceptable AP examination credit.

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.

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.

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. Prerequisite: C- or better in m 272.

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 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 other non-Euclidean geometries. 提供隔年. Prerequisite: C- or better in AMTH 101 or CMTH 101 or m 201 or m 252 or m 271 或同等.

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. Prerequisite: C- or better in m 373 (concurrent enrollment allowed). 提供隔年.

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. Prerequisite: C- or better in m 313. 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. Prerequisite: C- or better in m 473 或者导师的同意. 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. Prerequisite: C- or better in m 313 和 m 373. 提供隔年.