美国留学数学专业研究报告

　　美国留学数学专业研究报告一：关于数学专业

　　1、数学专业介绍

　　数学(mathematics)是研究数量、结构、变化以及空间模型等概念的一门学科。透过抽象化和逻辑推理的使用，由计数、计算、量度和对物体形状及运动的观察中产生。数学家们拓展这些概念，为了公式化新的猜想以及从合适选定的公理及定义中建立起严谨推导出的真理。

　　数学是研究现实世界中数量关系和空间形式的科学。简单地说，是研究数和形的科学。由于生活和劳动上的需求，即使是最原始的民族，也知道简单的计数，并由用手指或实物计数发展到用数字计数。

　　专业介绍

　　专业景气度

　　专业与职业匹配度6全球化指数7

　　毕业深造指数2应届就业率指数7

　　舒适度指数6毕业三年薪酬指数3

　　毕业两年薪酬指数3学习压力指数6

　　发展前景指数6创业压力指数1

　　职位级别指数3毕业一年薪酬指数3

　　2、专业方向

　　① 应用数学专业Applied Math

　　主要学习数学和应用数学的基础理论、基本方法，受到数学模型、计算机和数学软件方面的基本训练，具有较好的科学素养，初步具备科学研究、教学、解决实际问题及开发软件等方面的基本能力。

　　②逻辑学专业Logic

　　逻辑学是研究纯粹理念的科学，所谓纯粹理念就是思维的最抽象的要素所形成的理念。由亚里士多德创立。

　　逻辑学是研究思维、思维的规定和规律的科学。但是只有思维本身才构成使得理念成为逻辑的理念的普遍规定性或要素。理念并不是形式的思维，而是思维的特有规定和规律自身发展而成的全体，这些规定和规律，乃是思维自身给予的，决不是已经存在于外面的现成的事物。

　　③几何学(Geometry)

　　是研究空间关系的数学分支，有时简称为几何。几何是近代数学的两大领域之一，另外一个是研究数量关系的领域。现代概念上的几何其抽象程度和一般化程度大幅提高，并与分析、抽象代数和拓扑学紧密结合，很多分支几乎无法认出是从早期的几何学传承而来。

　　3.核心课程

　　美国本科段核心课程(core courses):

　　MTH 1000 - Precalculus

　　Credits: 3.00

　　Precalculus (3 credits). Algebra and trigonometry that are used to develop the skills needed in calculus. Required for students who have minimal algebra and/or trigonometry preparation, or whose placement test indicated such a need. (Graphics calculator required.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1001 - Calculus 1

　　Credits: 4.00

　　Calculus 1 (4 credits). Functions and graphs, limits and continuity, derivatives of algebraic and trigonometric functions, chain rule; applications to maxima and minima and to related rates, integration and applications of integration. (Prerequisites: High school algebra, trig and a passing score on the placement test, or MTH 1000.) (Graphics calculator required.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1002 - Calculus 2

　　Credits: 4.00

　　MTH 1002, CHM 1102.) Calculus 2 (4 credits). Exponential, logarithmic, circular and hyperbolic functions: their inverses, derivatives and integrals; further techniques of integration; improper integrals; limits, L’Hospital’s rule; sequences and series, numerical methods; polar coordinates; and introductory differential equations. (Prerequisite: MTH 1001.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1603 - Appld Calc & Statistics

　　Credits: 3.00

　　APPLIED CALCULUS AND ST
ATISTICS (3 credits). Topics in derivatives and integrals and their applications, and probability and statistics and their applications. (Noncredit for any program that requires MTH 1001.) (Prerequisite: MTH 1000.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1701 - College Algebra

　　Credits: 3.00

　　College Algebra (3 credits). Real-number system; arithmetic operations with polynomials, special products and factoring; linear, fractional and quadratic equations; inequalities, exponents, radicals and absolute values; functions and graphs; and complex numbers, logarithms, logarithmic and exponential functions. (Noncredit for all majors except business, management, humanities and psychology.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1702 - Applied Calculus

　　Credits: 3.00

　　Applied Calculus (3 credits). Elements of differential and integral calculus with application to business, economics, management and the social and life sciences, as well as maxima, minima, rates, exponential growth and decay and some techniques of integration. (Prerequisite: MTH 1701.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 1801 - Trigonometry Review

　　Credits: 1.00

　　Trigonometry Review (1 credit). Review of trigonometric topics necessary for calculus, including trigonometric functions, graphs, identities and solving trigonometric equations. It may be taken currently with MTH 1001. (Prerequisites: High school trigonometry and appropriate score on placement test.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 2001 - Calculus 3

　　Credits: 4.00

　　Calculus 3 (4 credits). Cylindrical and spherical coordinates, vectors, functions of several variables, partial derivatives and extrema, multiple integral, vector integral calculus. (Prerequisite: MTH 1002.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematical Sciences

　　MTH 2051 - Discrete Mathematics

　　Credits: 3.00

　　Discrete Mathematics (3 credits). Formulation of precise dinitions and their negations using propositional and predicate logic; argument analysis and proof techniques including induction; number theory; and sets, relations, functions, directed graphs and elementary counting arguments. (Prerequisite: MTH 1000 or MTH 1001.)

　　College: College of Sci. & Liberal Arts

　　Department: Mathematic

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