Applications of Calculus（I）课程列表：

Ch0 The history of Newton and Leibniz

-Newton and Leibniz Get Started

-Ch0 homework

Ch1 The applications of differential calculus

-1.1 The applications of derivative：space traveler

--The definition of derivative

--The space traveler

--1.1 homework

-1.2 The applications of chain rule：the clock

--The chain rule

--The applications of chain rule：the clock

--1.2 homework

-1.3 The applications of related rates：telescope

--The application of related rates-the telescope and the airplane

--1.3 homework

-1.4 The application of differential: linear approximation

--The application of differentials：approximation

--1.4 homework

-1.5 The applications of differential: Poiseuille's Law and Relative theory

--Law for blood flow and the theory of relativity

--1.5 homework

-1.6 The least squares

--The least squares

-1.7 The cost, profit and revenue functions

--The cost, profit and revenue functions

-1.8 The economic applications of derivative: the marginal idea

--The economic applications of derivative: the marginal idea

--1.8 homework

-1.9 The applications of the Mean Value Theorem: velocity

--the Mean Value Theorem: velocity

--1.9 homework

-1.10 Solving the equation: Newton's Method

--Newton's Method

Ch2 The applications of optimazition

-2.1 How to minimize the energy

--To minimize the energy

-2.2 The moving sofa problem

--The moving sofa problem

-2.3 The fastest path of driving

--The fastest path of driving

-2.4 The brachistochrone problem

--The brachistochrone problem

-2.5 The interesting cycloid

--The cycloid

--2.5 homework

Ch3 The applications of Integral calculus

-3.1 The applications of definite integral: the area of a plane region

--The definition of definite integral

--The area of a plane region

--3.1 homework

-3.2 The applications of definite integral: the volume of solid of revolution

--The method of disks

--The method of washers

-3.3 The volume of cross section: Mouhefanggai

--The volume of mouhefanggai with double integral

--The volume of mouhefanggai by Chinese ancient mathematician

--The volume of sphere

--3.3 homework

-3.4 The applications of definite integral: moments

--The moments

--3.4 homework

-3.5 continuous mass distribution

--Continuous mass distribution

-3.6 The applications of definite integral: expectation

--The expectation

-3.7 Probability Density Function

--Probability Density Function

-3.8 Cumulative Distribution Function

--Cumulative Distribution Function

--3.8 homework

-3.9 The applications of definite integral-springs

--The work

--3.9 homework

-3.10 The economic applications : present value and future value

--The future value and present value(1)

--future value and present value(2)

--3.10 homework

-3.11 The applications of improper integral-space capsule

--The space capsule

--3.11 homework

-3.12 The applications of improper integral-Torricelli’s trumpet

--Torricelli’s trumpet

--3.12 homework

--Your own applications of calculus

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