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Calculus Ⅰ课程列表：

Functions and Models

-Four Ways to Represent a Function

--Four Ways to Represent a Function

--homework

--homework

--ppt

-Mathematical Models:A Catalog of Essential Functions. New Functions from Old Functions

--Mathematical Models:A Catalog of Essential Functions. New Functions from Old Functions

--homework

--homework

--ppt

-Exponential Functions, Inverse Functions and Logarithms

--Exponential Functions, Inverse Functions and Logarithms

--homework

--ppt

--homework

-quiz1

Limits and Derivatives

-The Limit of a Function. Calculating Limits Using the Limits Laws

--The Limit of a Function. Calculating Limits Using the Limits Laws

--ppt

--homework

--homework

-The Precise Definition of a Limit. Continuity

--ppt

--homework

--The Precise Definition of a Limit. Continuity

-Limits at Infinity;Horizontal Asymptotes

--Limits at Infinity;Horizontal Asymptotes

--ppt

--homework

-Derivatives and Rates of Change. The Derivative as a Function

--ppt

--homework

--Derivatives and Rates of Change. The Derivative as a Function

-quiz2

Differentiation Rules

-Derivatives of Polynomials and Exponential Functions

--Derivatives of Polynomials and Exponential Functions

--ppt

--homework

--homework

-The Product and Quotient Rules

--The Product and Quotient Rules

--ppt

--homework

--homework

-Derivatives of Trigonometric Functions

--Derivatives of Trigonometric Functions

--ppt

--homework

-The Chain Rule，Implicit Differentiation

--The Chain Rule，Implicit Differentiation

--ppt

--homework

-Derivatives of Logarithmic Functions

--Derivatives of Logarithmic Functions

--ppt

--homework

-Exponential Growth and Decay

--Exponential Growth and Decay

--ppt

-Related Rates

--Related Rates

--ppt

-Linear Approximations and Differentials

--Linear Approximations and Differentials

--ppt

-Hyperbolic Functions

--Hyperbolic Functions

--ppt

--homework

-quiz3

Applications of Differentiation

-Maximum and Minimum Values

--Maximum and Minimum Values

--ppt

--homework

-The Mean Value Theorem

--The Mean Value Theorem

--ppt

-How Derivatives Affect the Shape of a Graph

--How Derivatives Affect the Shape of a Graph

--ppt

--作业

-Indeterminate Froms and 1'Hospital's Rule

--Indeterminate Froms and 1'Hospital's Rule

--ppt

--作业

-Optimization Problems

--Optimization Problems

--ppt

-Newton's Method

--Newton's Method

--ppt

-Antidervatives

--Antidervatives

--ppt

--23

-第四章作业

Integrals

-Areas and Distances，The Definite Integral

--ppt

--homework

--Areas and Distances，The Definite Integral

-The Fundamental Theorem of Calculus

--ppt

--homework

--The Fundamental Theorem of Calculus

-Indefinite Integrals and the Net Change Theorem

--ppt

--homework

--Indefinite Integrals and the Net Change Theorem

-The Substitution Rule

--ppt

--homework

--The Substitution Rule

-quiz5

Applications of Integration

-Areas Between Curves

--ppt

--homework

--Areas Between Curves

-Volumes

--ppt

--homework

--Volumes

-Volumes by Cylindrical Shells

--ppt

--homework

--Volumes by Cylindrical Shells

-Work

--ppt

--Work

-Average Value of a Function

--ppt

--Average Value of a Function

Techniques of Integration

-Integration by Patrs

--ppt

--homework

--Integration by Patrs

-Trigonometric Integral

--ppt

--homework

--Trigonometric Integral

-Trigonometric Substitution

--ppt

--homework

--Trigonometric Substitution

-Integration of Rational Functions by Parital Fractions

--ppt

--homework

--Integration of Rational Functions by Parital Fractions

-Approximate Integration

--ppt

--Approximate Integration

-Improper Integrals

--ppt

--Improper Integrals

-第七章作业

Further Applications of Integration

-Arc Length

--ppt

--homework

--Arc Length

-Area of a Surface of Revolution

--ppt

--Area of a Surface of Revolution

-Applications to Physics and Engineering

--ppt

--Applications to Physics and Engineering

Differential Equations

-Modeling with Differential Equations

--ppt

--Modeling with Differential Equations

-Separable Equations

--ppt

--作业

--Separable Equations

-Linear Equations

--ppt

--homework

--Linear Equations

-quiz7

Parametric Equations and Polar Coordinates

-Curves Defined by Parametric Equations

--ppt

--Curves Defined by Parametric Equations

-Calculus with Parametric Curves

--ppt

--Calculus with Parametric Curves

-Polar Coordinates

--ppt

--Polar Coordinates

-Areas and Lengths in Polar Coordinates

--ppt

--Areas and Lengths in Polar Coordinates

-ConicSections in Polar Coordinates

--ConicSections in Polar Coordinates

--quiz8

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