数学：mathematics
抽象代数：abstract algebra
大代数：advanced algebra，higher algebra
计算代数：computation algebra
基础代数：elementary algebra
广义代数：generalized algebra
群代数：group algebra
线性代数：liner algebra
矩阵代数：matrix algebra
微分英文：differential。短语 differential equation 微分方程。differential diagnosis 鉴别诊断。partial differential 偏微分。differential pressure [物]压差。differential scanning calorimetry 差示扫描量热法。differential 。
多线性代数：multi-lineal algebra
应用数学：applied mathematics
极限 limit 积分 integration 微分 differentiation 导数 derivative 极值应该是extrema 三角函数 trig(trigonometric) functions 反三角函数 inverse trig(trigonomic) functions 微分方程 differential equations 黎曼积分 Riemann Sums 。
计算数学：computational mathematics
初等算术：elementary arithmetic
初等数学：elementary mathematics
高等数学：higher mathematics
模数算术：modular arithmetic
新数学：new mathematics
理论数学：pure mathematics
运筹学：operation research
算术：arithmetic
几何：geometry
三角学：trigonometry
仿射微分几何：affine differential geometry
解析几何学：analytical geometry
微分几何：differential geometry
椭圆几何：elliptic geometry
测量几何：metrical geometry
6一阶微分方程 first-order differential equation (differential equation of first order);二阶微分方程second-order differential equation 7常数项级数 Constant Series 8正项级数 positive series 9幂级数powder series
平面几何：plane geometry
Problem of ordinary differential equation 常微分方程式 Ordinary differential equation , first order differential equations , 2nd order differential equations , power series solution of differential equation , laplace 。
立体几何学：solid geometry
圆形几何学：descriptive geometry
球面几何学：spherical geometry
偏微分方程英文：partial differential equation。偏微分方程包含未知函数的偏导数（或偏微分）的方程。方程中所出现未知函数偏导数的最高阶数，称为该方程的阶。在数学、物理及工程技术中应用最广泛的，是二阶偏微分方程，习惯。
拓扑学，形势几何学：topology
体积几何学：volumetric geometry
微积分学：calculus，infinitesimal calculus
微分学：differential calculus
积分学：integral calculus
球面三角学：spherical trigonometry
