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
Business Administration
Law
Architecture
Journalism and Mass Communication
Medicine
Supply Chain and Logistics
Electrical Engineering
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
Fundamentals of Materials Science
Surveying
Linear Electronic Circuitry
Mechanical Dynamics
Mechanics of materials
Security of Information System
Principles of Biomedical Engineering
Electromagnetic Fields and Magnetic Waves
Fundamentals of Material Engineering
Modern Physics
Function of Complex Variable
Hydraulic and pneumatic Driving
Money and Finance
Medical Physics
Methods of Mathematical Physics
Solid State Physics
Theoretical Mechanics
Agricultural Mechanics
Chemical Engineering Thermodynamics
Engineering Mechanics
General Physics
Engineering Thermodynamics
Introduction to Database Systems
Social Statistics
Trial Design and Biostatistics
Computer Network Technology
Microcomputer Principle and Application
Quality Control and Management
Time Series Analysis
Basis of Control Engineering
Computational Material Science and Engineering
Introduction to Atmospheric Environment
soil mechanics
Database Systems
Heat Transfer
Numerical Analysis
Principles of Food Engineering
Principle of Actuarial Science
Quantitative Analysis
Introduction to Mechanical Engineering
Principle of Circuit Analysis
Hydraulics
Optimization Method
Bioinformatics
Biostatistics
Heat and Mass Transfer
Nuclear Physics
Biosystem modeling and simulation
Experiment in Analog Circuitry
Set Theory and Graph Theory
Sport Statistics
Atomic Physics
Chemical Engineering Technology
Operations Research
Applied Statistics and Audience Survey
Signals and Systems
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。
