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
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Chemical Engineering
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Environmental Science
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Urban Planning
Aerospace / Aeronautical / Astronautical Science and Engineering
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Applied Statistics and Audience Survey
Principles of Food Engineering
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Solid State Physics
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Methods of Mathematical Physics
Numerical Analysis
Experiment in Analog Circuitry
Introduction to Database Systems
Mechanics of materials
Computer Network Technology
Electromagnetic Fields and Magnetic Waves
Surveying
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Engineering Thermodynamics
Principle of Circuit Analysis
Nuclear Physics
Atomic Physics
General Physics
Biosystem modeling and simulation
Chemical Engineering Thermodynamics
Engineering Mechanics
Modern Physics
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Trial Design and Biostatistics
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Linear Electronic Circuitry
Principles of Biomedical Engineering
Time Series Analysis
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Fundamentals of Materials Science
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Introduction to Atmospheric Environment
Mechanical Dynamics
Optimization Method
Basis of Control Engineering
Heat Transfer
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Security of Information System
Heat and Mass Transfer
Hydraulic and pneumatic Driving
Microcomputer Principle and Application
soil mechanics
Principle of Actuarial Science
Signals and Systems
Social Statistics
Computational Material Science and Engineering
Function of Complex Variable
Database Systems
Set Theory and Graph Theory
Introduction to Mechanical Engineering
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。
