EDU 6379. 数字推理:数字和运算
本课程涵盖的主题包括数字系统及其属性:整数, 有理数, 无理数, and complex numbers; real number line; numerical base systems; significant historical developments; decimal representation; axiomatic systems and introductory group theory; set theory; cardinality; recurrence relations; prime numbers; the fundamental theorem of arithmetic; greatest common divisors; least common multiple; division algorithm; Euclidean algorithm; introductory number theory; modular arithmetic; and problem solving. 此外，高等数学内容，通知初等, 中间, 中学教学, 有效教授数值推理的实用模型, 数字系统, 以及EC-12数学的运算, 这也是发展有效的指导关系的组成部分.

EDU 6380. 代数推理与模式
This course discusses functional relationships and their properties: patterns; variable expressions; definitions and properties of functions; graphs; one-to-one; invertibility; compositions; various linear, 二次, 多项式, 理性的, 三角, exponential and logarithmic models; the fundamental theory of algebra; algebraic applications of functions in everyday life; modeling; significant historical developments; rates of change; calculus; introductory analysis; and problem solving. 此外，高等数学内容，通知初等, 中间, 中学教学, 实用的模式，有效地教学生的模式, 将讨论EC-12数学中的变量和函数关系, 这也是发展有效的指导关系的组成部分.

EDU 6381. 几何与测量
This course delves into Euclidean geometry and proof: axiomatic systems; definitions, 定理, 假设, proofs; similarity; proportional reasoning; constructions; measurement; spatial reasoning; plane isometries, 翻译, 旋转, reflections; dilations; 三角 functions; inductive/deductive reasoning; mathematical induction; symbolic logic, proofs and invalid arguments; significant historical developments; introductory topology; coordinate geometry; vectors; matrices; introduction to non-Euclidean geometries, Elliptic and Hyperbolic; and problem solving. 此外，高等数学内容，通知初等, 中间, 中学教学, 实用的模型和可用的技术工具，有效地教学生几何学, 将讨论EC-12数学的测量和证明, 这也是发展有效的指导关系的组成部分.

EDU 6382. 日常数学:概率与统计
This course focuses on methods of representing and analyzing data: measures of central tendency and measures of dispersion; introductory combinatorics; discrete and continuous random variables; expected value; statistical foundations; inference; random samples; properties of binomial, geometric and normal distributions; law of large numbers; central limit theorem; significant historical developments; stochastic matrices; regression; and problem solving. 此外，高等数学内容，通知初等, 中间, 中学教学, 本文将讨论如何有效地教授概率和统计学，以及如何克服学生在EC-12数学中常见的误解, 这也是发展有效的指导关系的组成部分.