Practice more, learn more! Wish you enjoy this course and benifit from our lectures.
播放:76次,课程ID:5444041
Practice more, learn more! Wish you enjoy this course and benifit from our lectures.
--Four Ways to Represent a Function
--Mathematical Models:A Catalog of Essential Functions. New Functions from Old Functions
--Exponential Functions, Inverse Functions and Logarithms
--The Limit of a Function. Calculating Limits Using the Limits Laws
--The Precise Definition of a Limit. Continuity
--Limits at Infinity;Horizontal Asymptotes
--Derivatives and Rates of Change. The Derivative as a Function
--Derivatives of Polynomials and Exponential Functions
--The Product and Quotient Rules
--Derivatives of Trigonometric Functions
--The Chain Rule,Implicit Differentiation
--Derivatives of Logarithmic Functions
--Exponential Growth and Decay
--Related Rates
--Linear Approximations and Differentials
--Hyperbolic Functions
--Maximum and Minimum Values
--The Mean Value Theorem
--How Derivatives Affect the Shape of a Graph
--Indeterminate Froms and 1'Hospital's Rule
--Optimization Problems
--Newton's Method
--Antidervatives
--Areas and Distances,The Definite Integral
--The Fundamental Theorem of Calculus
--Indefinite Integrals and the Net Change Theorem
--The Substitution Rule
--Areas Between Curves
--Volumes
--Volumes by Cylindrical Shells
--Work
--Average Value of a Function
--Integration by Patrs
--Trigonometric Integral
--Trigonometric Substitution
--Integration of Rational Functions by Parital Fractions
--Approximate Integration
--Improper Integrals
--Arc Length
--Area of a Surface of Revolution
--Applications to Physics and Engineering
--Modeling with Differential Equations
--Separable Equations
--Linear Equations
--Curves Defined by Parametric Equations
--Calculus with Parametric Curves
--Polar Coordinates
--Areas and Lengths in Polar Coordinates
1994获得中科院数学所博士学位,同年到北京交大工作。现任交大理学院数学系教授。研究方向为微分几何。曾主持一项国家自然科学基金项目。在中国科学,数学学报,美国数学会会报等国内外重要刊物上发表论文十多篇。曾到加拿大麦克马斯特大学,美国纽约理工大学做访问学者。多年来,除了承担交大国际班的微积分全英文教学,还结合自己的专业方向,承担数学系数学与运用数学的专业课《微分几何》与《点集拓扑》的教学任务。