Calculus I课程列表：

Course Introduction

-Course Introduction

--Course Introduction

--Document

Chapter 1 Limits

-Introduction to Limits

--This Unit is a Self-study Module

-Rigorous Study of Limits

--Rigorous Study of Limits

--Document:Rigorous Study of Limits

--Document: 1.2 Supplement

-Limit Theorems

--Limit Theorems

--Document:Limit Theorems

--Document: 1.3 Supplement

-Limits Involving Trigonometric Functions

--Limits Involving Trigonometric Function

--Document:Limits Involving Trigonometric Function

--Document: 1.4 Supplement

-Limits at Infinity, Infinite Limits

--Limits at Infinity, Infinite Limits

--Document:Limits at Infinity; Infinite Limits

--Document: 1.5 Supplement

--Document: 1.5 supplement 2

-Continuity of Functions

-- Continuity of Functions

--Document:Continuity of Functions

--Document: 1.6 supplement

-Chapter Review

--Document: chapter 1 supplement

-Assignments for Chapter 1

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 1

--Discussion Topics of Chapter 1

-Homework and Answer of Chapter 1

--Homework for Chapter 1

--Answer for Chapter 1

Homework 1

-Homework 1

--Homework 1

Chapter 2 The Derivative

-Two Problems with One Theme

--This Unit is a Self-study Module

-The Derivative

--The Derivative

--Document: The Derivative

--Supplement：The Derivative

-Rules for Finding Derivatives

--Rules for Finding Derivatives

--Document: Rules for Finding Derivatives

--Supplement: Rulesfor Finding Derivatives

-Derivate of Trigonometric Functions

--This Unit is a Self-study Module

--Supplement: Derivatives of Trigonometric Functions

-The Chain Rule

--The Chain Rule

--Document： The Chain Rule

--Supplement: The Chain Rule

-Higher-Order Derivative

--Higher-Order Derivative

--Document: Higher-Order Derivatives

--Supplement: Higher-Order Derivatives

-Implicit Differentiation

--Implicit Differentiation

--Document: Implicit Differentiation

--Supplement: Implicit Differentiation

-Related Rates

--This Unit is a Self-study Module

-Differentials and Approximations

--This Unit is a Self-study Module

--Supplement: Differentials and Approximations

-Chapter Review

--This Unit is a Self-study Module

-Assignments for Chapter 2

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 2

--Discussion Topics of Chapter 2

-Homework and Answer of Chapter 2

--Homework for Chapter 2

--Answer for Chapter 2

Homework 2

-Homework 2

--Homework 2

Chapter 3 Applications of the Derivative

-Maxima and Minima

--Maxima and Minima

--Document: Maxima and Minima

--Supplement：Maxima and Minima

-Monotonicity and Concavity

--Monotonicity and Concavity

--Document: Monotonicity and Concavity

--Supplement： Monotonicity and Concavity

-Local Extrema and Extrema on Open Intervals

--Local Extrema and Extrema on Open Intervals

--Document: Local Extrema and Extrema on Open Intervals

--Supplement： Local Extrema and Extrema on Open Intervals

-Practical Problems

--Practical Problems

--Document: Practical Problems

--Supplement： Practical Problems

-Graphing Functions Using Calculus

--This Unit is a Self-study Module

-The Mean Value Theorem for Derivatives

--The Mean Value Theorem for Derivatives

--Document: The Mean Value Therorem for Derivatives

--Supplement：The Mean Value Therorem for Derivatives

-Solving Equations Numerically

--This Unit is a Self-study Module

--Supplement：Antiderivatives

-Anti-derivatives

--This Unit is a Self-study Module

-Introduction to Differential Equations

--This Unit is a Self-study Module

-Chapter Review

--This Unit is a Self-study Module

--Supplement： Supplement for Chapter 3

-Assignments for Chapter 3

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 3

--Discussion Topics of Chapter 3

-Homework and Answer of Chapter 3

--Homework for Chapter 3

--Answer for Chapter 3

Test 1

-Test 1

--Test 1

Chapter 4 The Definite Integral

-Introduction to Area

--This Unit is a Self-study Module

--Supplement: Introduction to Area

-The Definite Integral

--The Definite Integral

--Document: The Definite Integral

--Supplement: The Definite Integral

-The First Fundamental Theorem of Calculus

--The First Fundamental Theorem of Calculus

--Document: The First Fundamental Theorem of Calculus

--Supplement: The First Fundamental Theorem of Calculus

-The Second Fundamental Theorem of Calculus and the Method of Substitution

--The Second Fundamental Theorem of Calculus and the Method of Substitution

--Document: The Second Fundamental Theorem of Calculus and the Method of Substitution

--Supplement: The Second Fundamental Theorem of Calculus and the Method of Substitution

-The Mean Value Theorem for Integrals and the Use of Symmetry

--This Unit is a Self-study Module

--Supplement: The Mean Value Theorem for Integrals and the Use of Symmetry

-Numerical Integration

--This Unit is a Self-study Module

-Chapter Review

--This Unit is a Self-study Module

-Assignments for Chapter 4

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 4

--Discussion Topics of Chapter 4

-Homework and Answer of Chapter 4

--Homework for Chapter 4

--Answer for Chapter 4

Homework 4

-Homework 4

--Homework 4

Chapter 5 Applications of the Integral

-The Area of a plane region

--The Area of a plane region

--Document: The Area of a Plane Region

-Volumes of Solids: Slabs, Disks

--Volumes of Solids: Slabs, Disks

--Document: Volumes of Solids Disk Method

-Volumes of Solids of Revolution: Shells

--Volumes of Solids of Revolution: Shells

--Document: Volumes of Solids Shell Method

-Length of a plane curve

--Length of a plane curve

--Document: Length of a Plane Curve

-Work and Fluid Force

--This Unit is a Self-study Module

-Moments and Center of Mass

--This Unit is a Self-study Module

-Probability and Random Variables

--This Unit is a Self-study Module

-Chapter Review

--This Unit is a Self-study Module

-Assignments for Chapter 5

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 5

--Discussion Topics of Chapter 5

-Homework and Answer of Chapter 5

--Homework for Chapter 5

--Answer for Chapter 5

Homework 5

-Homework 5

--Homework 5

Chapter 6 Transcendental and Functions

-The Natural Logarithm Function

--This Unit is a Self-study Module

-Inverse Functions

--This Unit is a Self-study Module

-The Natural Exponential Function

--This Unit is a Self-study Module

-General Exponential and Logarithm Function

--This Unit is a Self-study Module

-Exponential Growth and Decay

--This Unit is a Self-study Module

-First-Order Linear Differential Equations

--This Unit is a Self-study Module

-Approximations for Differential Equations

--This Unit is a Self-study Module

-The Inverse Trigonometric Functions and Their Derivatives

--This Unit is a Self-study Module

-The Hyperbolic Functions and Their Derivatives

--This Unit is a Self-study Module

-Chapter Review

--This Unit is a Self-study Module

Chapter 7 Techniques of Integration

-Basic Integration Rules

--Basic Integration Rules

--Document: Basic Integration Rules

-Integration by parts

--Integration by parts

--Document: Integration by Parts

-Some Trigonometric Integrals

--Some Trigonometric Integrals

--Document: Some Trigonometric Integrals

-Rationalizing Substitutions

--Rationalizing Substitutions

--Document: Rationalizing Substitutions

-Integration of Rational Functions Using Partial Fraction

--Integration of Rational Functions Using Partial Fraction

--Document: Integration of Rational Functions Using Partial Fractions

-Strategies for Integration

--This Unit is a Self-study Module

-Chapter Review

--This Unit is a Self-study Module

-Assignments for Chapter 7

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 7

--Discussion Topics of Chapter 7

-Homework and Answer of Chapter 7

--Homework for Chapter 7

--Answer for Chapter 7

Homework 7

-Homework 7

--Homework 7

Chapter 8 Indeterminate Forms and Improper Integrals

-Indeterminate Forms of Type

--This Unit is a Self-study Module

-Other Indeterminate Forms

--This Unit is a Self-study Module

-Improper Integrals: Infinite Limits of Integration

--Improper Integrals: Infinite Limits of Integration

--"Improper Integrals Infinite Limits of Integration" Document

-Improper Integrals: Infinite Integrands

--Improper Integrals: Infinite Integrands

--"Improper Integrals Infinite Integrands" Document

-Chapter Review

--This Unit is a Self-study Module

-Assignments for Chapter 8

--Assignment 1

--Assignment 2

-Discussion Topics of Chapter 8

--Discussion Topics of Chapter 8

-Homework and Answer of Chapter 8

--Homework for Chapter 8

--Answer for Chapter 8

Test 2

-Test 2

--Test 2

Final Test

-Final Test

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