Advanced Mathematics" is a preliminary but fundamental course for students from physics department etc. Calculus can be said the most important part of Advanced Mathematics. Besides Calculus, Advanced mathematics includes generally also Linear Algebra (mainly Matrix theory), Analytic Geometry, Differential Equation Theory, Integral Transformation and sometimes Probability Theory.
Mathematics
数学源自于古希腊语，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。数学的基本要素是：逻辑和直观、分析和推理、共性和个性。
Physics
Computer Engineering
Computer Science
Biological / Biomedical Science
Chemical Engineering
Chemistry
Environmental Engineering
Environmental Science
Finance
Economics
Psychology
Biomedical/Bioengineering
Accounting
Marketing
International Business
Human Resource Management
Information Systems
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Law
Architecture
Journalism and Mass Communication
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Supply Chain and Logistics
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Materials Science and Engineering
Urban Planning
Aerospace / Aeronautical / Astronautical Science and Engineering
Agriculture
Nuclear Engineering
Mechanical Engineering
Civil Engineering
Social Work
Sociology
Geosciences
Management Science and Engineering
Anthropology
Public Management
Operations Management
Strategic Management
Entrepreneurship and Strategy
Pharmaceutical Sciences
Education
Public Security
Public Affairs
Public Policy Analysis
Biological Agricultural Engineering
Public Health and Preventive Medicine
Basic Medicine
Electromagnetic Fields and Magnetic Waves
Hydraulics
Introduction to Atmospheric Environment
Nuclear Physics
Social Statistics
Surveying
Basis of Control Engineering
Engineering Mechanics
Fundamentals of Materials Science
Quality Control and Management
Introduction to Database Systems
Quantitative Analysis
Bioinformatics
Chemical Engineering Thermodynamics
Engineering Thermodynamics
Function of Complex Variable
Mechanical Dynamics
Security of Information System
Signals and Systems
Trial Design and Biostatistics
Money and Finance
Biostatistics
Experiment in Analog Circuitry
Modern Physics
Operations Research
soil mechanics
Database Systems
Mechanics of materials
Medical Physics
Principle of Circuit Analysis
Microcomputer Principle and Application
Theoretical Mechanics
Linear Electronic Circuitry
Numerical Analysis
Principle of Actuarial Science
Principles of Food Engineering
Biosystem modeling and simulation
Heat and Mass Transfer
Sport Statistics
Time Series Analysis
Agricultural Mechanics
Computational Material Science and Engineering
General Physics
Solid State Physics
Introduction to Mechanical Engineering
Atomic Physics
Fundamentals of Material Engineering
Heat Transfer
Optimization Method
Principles of Biomedical Engineering
Computer Network Technology
Hydraulic and pneumatic Driving
Applied Statistics and Audience Survey
Methods of Mathematical Physics
Set Theory and Graph Theory
Chemical Engineering Technology
数学运算
积分求和
函数
变量
极限 : 极限是微积分中的基础概念, 它指的是变量在一定的变化过程中, 从总的来说逐渐稳定的这样一种变化趋势以及所趋向的值 (极限值) .
导数 : 导数是函数的局部性质。一个函数在某一点的导数描述了这个函数在这一点附近的变化率。如果函数的自变量和取值都是实数的话，函数在某一点的导数就是该函数所代表的曲线在这一点上的切线斜率。导数的本质是通过极限的概念对函数进行局部的线性逼近。
微分方程 : 微分方程指描述未知函数的导数与自变量之间的关系的方程。微分方程的解是一个符合方程的函数。而在初等数学的代数方程，其解是常数值。
