美国本科大多数专业都会要求至少要修“数学或计算机（在BU叫MCS）”两门基础课。以下CAS是文理学院的意思。MA XXX 是课程代号。更加具体的课程的设置同学们可以去学校的官网自己查询哈~如果同学们有美国大学本科基础数学的辅导需求，可以联系我们的客服老师，教务部会同步海外课程，帮助学生进行辅导学习的。

CAS MA 107: Mathematical Reasoning in the Elementary Grades: Number Systems

Mathematical Reasoning in the Elementary Grades: Number Systems Required for undergraduates seeking licensure in elementary education,early childhood education,special education,or deaf studies. Focuses on number systems,whole number,decimal and fraction concepts and operations,and number theory. Non-Wheelock students by signed permission only.Does not satisfy CAS Divisional Studies or Math/Stat major.

CAS MA 108: Mathematical Reasoning in the Elementary Grades: Algebra,Geometry,and Statistics

Undergraduate prerequisites: CAS MA 107 or SED ME 503.

Required for undergraduates seeking licensure in elementary education,special education,or deaf studies. Focuses on topics in algebra,geometry,measurement,and statistics. Non-SED students by signed permission only. Does not satisfy CAS Divisional Studies or Math/Stat major.

以上这两门课太基础了，所以连学校两门数学基础课的标准都达不了，所以要选这两门只能是以兴趣来上这门课，拿普通的学分。内容大致接近美高12年级的内容。

CAS MA 109: The Art and Science of Quantitative Reasoning

Buying music on-line,making phone calls,predicting the weather,or controlling disease outbreaks would be impossible without mathematics,statistics,and computer science. Focuses on methods of reasoning common to these disciplines,and how they enable the modern world. Also offered as CAS CS 109. Carries MCS divisional credit in CAS.

CAS MA 111: Mathematical Explorations

Students explore challenging mathematics problems chosen from an array of topics that can be solved in multiple ways. Includes making,testing,and modifying conjectures; constructing proofs; posing new problems; extensive classroom interaction; reflective and other writing.

CAS MA 113: Elementary Statistics

CAS MA 113 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113,MA 115,or MA 213. Basic concepts of estimation and tests of hypotheses,ideas from probability; one-,two-,and multiple-sample problems. Applications will be in social sciences and students will be able to answer understand the basics of using a sample to predict uncertainty. Carries MCS divisional credit in CAS.

CAS MA 115: Statistics I

CAS MA 115 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 113,MA 115,or MA 213. Numerical and graphical summaries of univariate and bivariate data. Basic probability,random variables,binomial distribution,normal distribution. One- sample statistical inference for normal means and binomial probabilities. primarily for students in the social sciences with limited mathematics preparation. Carries MCS divisional credit in CAS.

CAS MA 116: Statistics II

Undergraduate prerequisites: CAS MA 115; or equivalent.

CAS MA 116 may not be taken for credit by any student who has completed any MA course numbered 300 or higher. Students may receive credit for not more than one of the following courses: CAS MA 116,MA 214,or MA 614. This course introduces basic statistical modeling techniques. One- or two- sample inference for unknown means,proportions and variances,categorical data analysis,introduction to design of experiments and analysis of variance,analysis of simple and multiple linear regression models,non-parametric methods. Carries MCS divisional credit in CAS.

CAS MA 118: College Algebra and Trigonometry

MA 118 may not be taken for credit by any student who has completed any MA course numbered 121 or higher. Functions and graphs. Linear and quadratic equations. Exponents; logarithms. Right and oblique triangles; trigonometric functions. Optimization. Specifically intended to prepare students with insufficient background in mathematics for the study of calculus. This course may not be used in fulfillment of the divisional studies requirement. Satisfies the mathematics requirement in the College program.

CAS MA 119: Applied Mathematics for personal Finance

Applications of mathematics for personal financial decision-making. Systems of equations,exponential functions,logarithms,probability,descriptive statistics,and numerical simulation,for modeling saving,borrowing,inflation,purchasing power,taxation,government benefits,risk management,insurance,annuities,and investments. Carries MCS divisional credit in CAS.

CAS MA 120: Applied Mathematics for Social and Management Sciences

MA 120 may not be taken for credit by any student who has completed any MA course numbered 124 or higher. Topics chosen from Linear equations,systems of linear equations,matrix algebra,exponential functions and logarithms,elements of differential calculus,optimization,probability. Some sections focus on applications in economics,finance,and management. Satisfies both mathematics requirement and divisional studies requirement. Carries MCS divisional credit in CAS.

CAS MA 121: Calculus for the Life and Social Sciences I

Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Differentiation and integration of functions of one variable. Same topics as CAS MA 123,but with less emphasis on mathematical generality and more on applications. Especially suitable for students concentrating in the biological and social sciences. Carries MCS Divisional credit in CAS.

CAS MA 122: Calculus for the Life and Social Sciences II

Undergraduate prerequisites: CAS MA 121 or CAS MA 123.

Students may receive credit for not more than one of the following courses: CAS MA 122,MA 124,MA 127 or MA 129. Continuation of CAS MA 121. Review of univariate calculus,calculus of the elementary transcendental functions,elementary differential equations,elementary multivariate calculus. Applications to exponential growth,optimization,equilibrium,and dynamic modeling problems. Carries MCS divisional credit in CAS.

这以上的课程在后面如果加上了Carries MCS divisional credit in CAS,那就是学校认可的符合标准的课程，可以当做两门之一来选。没有写的是符合了BU另外一个通识课标准体系，不过大多数学生走的是第一个体系。

在这里面的课程，其实是非常丰富多彩的。对于非数学专业的美国人来讲，难度看个人水平，我曾经当过以上两门课的Grader，基本上都是老美上，考试难度也没有太离谱，老师基本上都算仁慈。对于中国人来讲基本上是秒杀课，不拿A有点说不过去。

如果你是数学系或者是理工科的学生，以上的所有课程是没有必要修的，真正基础课是从下面开始的。

CAS MA 123: Calculus I

Students may receive credit for not more than one of the following courses: CAS MA 121 or CAS MA 123. Limits; derivatives; differentiation of algebraic and transcendental functions. Applications to maxima,minima,and convexity of functions. The definite integral; the fundamental theorem of integral calculus. Carries MCS divisional credit in CAS.

这门课就是微积分1，基本上80%的中国学生都要修，且目标都是A，如果你在国内读完了普高体系，这门课基本上就是复习课。

CAS MA 124: Calculus II

Undergraduate prerequisites: CAS MA 121 or CAS MA 123.

Students may receive credit for not more than one of the following courses: CAS MA 122,MA 124,MA 127,or MA 129. Logarithmic,exponential,and trigonometric functions. Sequences and series; Taylor's series with the remainder. Methods of integration. Calculus I and II together constitute an introduction to calculus of a function of a single real variable. Carries MCS divisional credit in CAS.

这门课是微积分2，衔接了微积分1的内容，对于数学专业的同学来讲，也必须是个轻松搞定的课，如果在这里感觉难，可以适当考虑换专业了。

CAS MA 150: Investigations in Geometry

An immersion experience in mathematical thinking and mathematical habits of mind. Students investigate topics in Euclidean and non-Euclidean geometry starting from basic elementary material and leading to an overview of current research topics. Does not satisfy MCS Divisional requirement. Does satisfy CAS WR 150 requirement.

这门课很有趣，因为美本要求了3-4门必修的写作课，这门课可以当做数学cross写作的一门课，既能满足修数学的一个学分，也能满足写作最高阶的那门课。这里就展示出来美本选课的多样性。

CAS MA 193: Discrete Mathematics for Engineering

propositional logic,set theory,relations,combinatorics,graphs. Topics are treated with particular emphasis on applications to the engineering discipline. (Cannot be taken for credit in addition to CAS MA 293.)

这门课基本上是给工学院的同学上的，数学系的同学很少修这门课，这也展示出了数学系的课程其实是支撑了整个理工体系的基础课。

CAS MA 213: Basic Statistics and probability

Undergraduate prerequisites: good background in high school algebra.

Students may receive credit for not more than one of the following courses: CAS MA 113,MA 115,or MA 213. Elementary treatment of probability densities,means,variances,correlation,independence,the central limit theorem,confidence intervals,and p-values. Students will be able to answer questions such as how can a pollster use a sample to predict the uncertainty of an election? Carries MCS divisional credit in CAS.

这门课是统计的第一门专业基础课，除了数学系的同学上之外，很多商学院的人会来修这门课，毕竟内容是和商业分析直接相关的。

CAS MA 214: Applied Statistics

Undergraduate prerequisites: CAS MA 213; or consent of instructor.

Students may receive credit for not more than one of the following courses: CAS MA 116,MA 214,or MA 614. Inference about proportions,goodness of fit,student's t-distribution,tests for normality; two-sample comparisons,regression and correlation,tests for linearity and outliers,residual analysis,contingency tables,analysis of variance. Carries MCS divisional credit in CAS.

这是统计专业的第二门专业课，延续了统计1，这门课上完之后呢，大家就要开始选择自己的方向了，到底是走纯数学和应用数学的道路，还是走统计的道路了。大多数的非数学专业的理科学生在数学的学习内容就止步于此了，一些工科学生还要继续修多变量微积分和线性代数。

以上便是美国大学本科基础数学会学习到的一些课程，基础数学难度相对较低，如果有基础不好的同学在学习中遇到问题一定要尽快补习，知识的补充和更新一定要快，数学是一门很有逻辑很多思维的课程，找到对的学习方法会事半功倍。