【2021年】十大微分方程式課程人氣排行推薦

本文章推薦「A Complete First Course in Differential Equations」、「System Dynamics and Controls」、「Differential Equations In Depth」等相關微分方程式線上課程,讓您滿足學習的慾望。

你是否想透過線上學習得到更多的技能,增加自己的技能樹?現在是學生的您,透過線上學習可以將更多專業知識用在課業學習上更加強所學。還是您是朝九晚五的上班族,尋找可以為工作上帶來更上一層樓的技能?或您是因為興趣或想培養其他興趣?

線上課程不受地理位置影響,不受時間早晚影響,老師來自世界各地,也不受學習程度影響的特色,讓您無時無刻想學都可以,想多看幾次增加熟悉度也可以。不同領域的老師將針對不同主題滿足您的學習目的,推薦的課程項目會陸續更新,絕對提供您最熱門人氣高的線上課程。

  • 線上課程老師來自於全球,文章推薦的熱門課程除了繁中課程以外還會有機會看到簡中和英文課程,可以針對自己喜好挑選。
  • 呈現的價錢會因為一些活動而有折扣,但折扣有可能一段時間後結束而調整回原價,最終價錢煩請到課程頁面進行確認。





微分方程式課程總覽

為了節省您的時間,本列表整理每個課程精要,讓您可以快速瀏覽這文章所提供的課程是否是您所需要的,點選您有興趣課程的「課程名稱」或「課程圖示」可以進一步跳到文章所屬課程的介紹區塊瞭解更多資訊。

課程名稱Advance Maths: Part I: Linear Differential EquationsDifferential Equations | Complete Differential EquationsA Complete First Course in Differential EquationsSystem Dynamics and ControlsDifferential Equations In DepthDifferential Equations with the Math SorcererOrdinary Differential Equations: 30+ Hours!Differential EquationsThe Numerical Solution of ODE’s and PDE’sAdvanced Engineering Mathematics
課程圖示
1

Advance Maths: Part I: Linear Differential Equations

2

Differential Equations | Complete Differential Equations

3

A Complete First Course in Differential Equations

4

System Dynamics and Controls

5

Differential Equations In Depth

6

Differential Equations with the Math Sorcerer

7

Ordinary Differential Equations: 30+ Hours!

8

Differential Equations

9

The Numerical Solution of ODE's and PDE's

10

Advanced Engineering Mathematics

課程原價NT$ 1,190NT$ 1,390NT$ 2,990NT$ 1,790NT$ 2,790NT$ 2,790NT$ 590NT$ 990NT$ 590
課程售價NT$ 390NT$ 590NT$ 430NT$ 430NT$ 430NT$ 430NT$ 390NT$ 390NT$ 390NT$ 390
課程評價(人數)4.8 分(13 個評分)4.5 分(7 個評分)4.1 分(458 個評分)4.5 分(389 個評分)4.7 分(189 個評分)4.5 分(179 個評分)4.5 分(65 個評分)4.1 分(17 個評分)4.4 分(22 個評分)4.1 分(9 個評分)
課程時長4 小時9 小時29.5 小時18.5 小時3.5 小時11 小時31.5 小時2.5 小時2 小時4 小時
學生人數8,559 人5,963 人4,231 人2,546 人1,654 人1,499 人704 人208 人190 人77 人
課程特色Linear Differential Equations (LDE) and its ApplicationsDifferential Equations Step by Step | Formation of Differential Equations | Solution of Differential EquationsA University Level Introductory Course in Differential EquationsMathematical Modeling of Systems and MoreAn in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!Complete Differential Equations Course with TONS of worked problems and assignments:)Most clear and informative Ordinary Differential Equations course out there! Dozens of Examples and Exercises.Videos on a first course in differential equations.Introductory numerical methods to solve ordinary and partial differential equationsFor Engineers and Hobbyists
連結UdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemy



微分方程式課程介紹

推薦的課程以倒序的方式呈現,越往下查看會看到越熱門的,期望您能找到滿意的學習主題!

10

Advanced Engineering Mathematics

For Engineers and Hobbyists
NT$ 590
NT$ 390

點擊看Udemy

課程老師Dr. Rauf Tailony
課程評價4.1 分(9 個評分)
課程時長4 小時
學生人數77 人

課程介紹

The objective of this course is to help you build the skill necessary to analyze mathematical relationships, and equations you encounter in the real world. Topics include Ordinary Differential Equations, Laplace Transforms, Systems of Linear Differen

瞭解更多細節

哪些人適合這堂課?

  • Engineers, Applied engineering employees, Engineering students and hobbyists, Mathematics student, Physics students and hobbyists.

學習目標

  • The objective of this course is to help you build the skill necessary to analyze mathematical relationships, and equations they encounter in the real world. Topics include Ordinary Differential Equations, Laplace Transforms, Systems of Linear Differential Equations

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9

The Numerical Solution of ODE’s and PDE’s

Introductory numerical methods to solve ordinary and partial differential equations
NT$ 990
NT$ 390

點擊看Udemy

課程老師Robert Spall
課程評價4.4 分(22 個評分)
課程時長2 小時
學生人數190 人

課程介紹

The course provides an introduction to the numerical solution of ordinary and partial differential equations and is at a level appropriate for undergraduate-level STEM students.  Prior knowledge of numerical methods is helpful but not necessary as (m

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哪些人適合這堂課?

  • STEM students interested in learning fundamental numerical techniques for the solution of ordinary and partial differential equations.

學習目標

  • Basic numerical solution techniques for solving ordinary and partial differential equations.

關注這課程的人也購買了這些…



8

Differential Equations

Videos on a first course in differential equations.
NT$ 590
NT$ 390

點擊看Udemy

課程老師Math Fortress
課程評價4.1 分(17 個評分)
課程時長2.5 小時
學生人數208 人

課程介紹

  This course is a study of ordinary differential equations with applications in the physical and social sciences. 

  Topics include: Definitions and Terminology, Solutions, Implicit Solutions, Families of Solutions and Systems of Differential Equat

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哪些人適合這堂課?

  • College Students

學習目標

  • Fortify your understanding of Differential Equations
  • Learn the basic terminology of Differential Equations
  • Solve basic Differential Equations.
  • Get prepared for future studies of Differential Equations.

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7

Ordinary Differential Equations: 30+ Hours!

Most clear and informative Ordinary Differential Equations course out there! Dozens of Examples and Exercises.
NT$ 2,790
NT$ 390

點擊看Udemy

課程老師Kvasir Education
課程評價4.5 分(65 個評分)
課程時長31.5 小時
學生人數704 人

課程介紹

If you’ve ever been stuck not knowing how to solve Differential Equations, you’ve come to the right place! 

The biggest obstacle is that textbooks don’t generally offer deep enough discussions or explanations on the basic principles. 

This course w

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哪些人適合這堂課?

  • College or university student taking a course in ordinary differential equations.
  • Anyone interested in learning the material.

學習目標

  • Student taking this course will get a deep understanding of the material.
  • Anyone using this as assistance or supplementary to their college course will be able to improve their grades.

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6

Differential Equations with the Math Sorcerer

Complete Differential Equations Course with TONS of worked problems and assignments:)
NT$ 2,790
NT$ 430

點擊看Udemy

課程老師The Math Sorcerer
課程評價4.5 分(179 個評分)
課程時長11 小時
學生人數1,499 人

課程介紹

This is a complete college level course in Differential Equations with TONS of examples.

*** In order to get the most out of the course you should know Calculus ***

Basically just,

1) Watch the videos, and try to follow along. Try to do the proble

瞭解更多細節

哪些人適合這堂課?

  • Students who want to learn Differential Equations.
  • Students who plan to take Differential Equations.
  • Students currently taking Differential Equations.

學習目標

  • Determining the Type and Order of a Differential Equation
  • Determining whether a Differential Equation is Linear or Nonlinear
  • Understand the Different Types of Solutions of Differential Equations: one-parameter families, two-parameter families, singular solutions, general solutions
  • Understand Initial Value Problems and the Interval of Definition
  • How to Solve Separable Differential Equations, First Order Linear, Exact, Homogeneous, Bernoulli, and DE’s of the form dy/dx = f(Ax + By + C)
  • How to Determine if Functions are Linearly Independent or Dependent using the Definition
  • How to Prove Functions are Linearly Independent using the Wronskian
  • How to Solve Higher Order Linear Homogeneous Differential Equations with Constant Coefficients
  • How to Solve DE’s with the Method of Undetermined Coefficients(The Superposition Principle)
  • How to Solve DE’s with Variation of Parameters
  • How to Solve Cauchy-Euler Differential Equations
  • How to Compute Laplace Transforms with the Definition
  • How to Compute Laplace Transforms and Inverse Laplace Transforms with Tables, Partial Fractions, and Trigonometric Identities
  • How to use the First Translation Theorem to Compute Laplace Transforms
  • How to use the Derivatives of Transforms Theorems
  • How to Solve DE’s using Laplace Transforms
  • Understand what the Unit Step Function is and use it to Find the Laplace Transform of a Piecewise Function
  • Understand what the Dirac Delta Function is
  • How to use the Second Translation Theorem to compute Laplace Transforms and Inverse Laplace Transforms
  • How to Solve DE’s that involve the Dirac Delta Function
  • How to Find the Minimum Radius of Convergence
  • How to Solve DE’s using Power Series

關注這課程的人也購買了這些…

5

Differential Equations In Depth

An in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!
NT$ 1,790
NT$ 430

點擊看Udemy

課程老師Dmitri Nesteruk
課程評價4.7 分(189 個評分)
課程時長3.5 小時
學生人數1,654 人

課程介紹

This course has everything you need to learn and understand Differential Equations. Differential equations are a class of equation that involves the use of differentials (derivatives) in their construction. Differential equations are used in many are

瞭解更多細節

哪些人適合這堂課?

  • College students
  • University students
  • Math enthusiasts

學習目標

  • Learn how to solve different types of differential equations
  • Discover tricks and shortcuts to find solutions quicker
  • Find out how to solve equations numerically as well as analytically
  • Learn to use MATLAB to solve differential equations

關注這課程的人也購買了這些…



4

System Dynamics and Controls

Mathematical Modeling of Systems and More
NT$ 2,990
NT$ 430

點擊看Udemy

課程老師Cherish Qualls, PhD
課程評價4.5 分(389 個評分)
課程時長18.5 小時
學生人數2,546 人

課程介紹

What is System Dynamics and Controls about?

This course provides a great introduction to controls and mathematical modeling of mechanical systems. What does that mean? Well, you will learn how to generate equations that can be used to model a body’s

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哪些人適合這堂課?

  • Students taking a university-level System Dynamics and Controls course
  • Graduates preparing for the Fundamentals of Engineering exam
  • Anyone who wants to learn how to mathematically model a body’s motion

學習目標

  • Spring mass damper systems, steady state error, root locus
  • Laplace transforms, block diagrams, state space
  • First and second order time response plus more!

關注這課程的人也購買了這些…

3

A Complete First Course in Differential Equations

A University Level Introductory Course in Differential Equations
NT$ 1,390
NT$ 430

點擊看Udemy

課程老師Chris Levy
課程評價4.1 分(458 個評分)
課程時長29.5 小時
學生人數4,231 人

課程介紹

This course will teach everything that is usually taught in the first two semesters of a university/college course in differential equations. The topics we will consider in this course are

First Order Differential Equations
Linear Equations of High

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哪些人適合這堂課?

  • Students taking differential equations at college or university
  • Students preparing to take differential equations at college or university
  • Anyone who wants to learn about the subject of differential equations

學習目標

  • Classify differential equations according to their type and order.
  • Solve first order differential equations that are separable, linear, homogeneous, exact, as well as other types that can be solved through different substitutions.
  • Use first order differential equations to model different applications from science.
  • Solve linear second order equations with constant coefficients (both homogenous and non-homogeneous) using the method of undetermined coefficients, variation of parameters, and Laplace transforms.
  • Understand the theory of linear second order differential equations and how it relates to ideas from linear algebra.
  • Use linear second order equations with constant coefficients (both homogenous and non-homogeneous) to model applications from science.
  • Find Laplace and inverse Laplace transforms.
  • Use Laplace transforms to solve linear second order equations with constant coefficients which contain forcing functions such as impulses, step functions, and periodic functions.
  • Solve systems of linear differential equations with constant coefficients and understand the importance of eigenvalues and eigenvectors for finding solutions.
  • Understand the importance of the Matrix exponential and how to compute it in order to find the solutions of linear systems of differential equations.
  • Apply basic numerical methods to find approximate solutions of differential equations.
  • Understand the basics of some complex analysis and its usefulness to differential equations.
  • Use equilibrium points, phase portraits, and stability analysis to analyze linear systems.
  • Use Maple to analytically and numerically solve differential equations. Use Maple to study differential equations qualitatively.
  • Model real world phenomenon with differential equations.
  • Find series solutions to second order linear equations with variable coefficients. Apply this method to ordinary points and regular singular points. Find Frobenius series solutions using the method of Frobenius. Apply reduction of order to find series solutions.
  • Use Fourier series to solve partial differential equations. Solve the heat, wave, and Laplace equation using separation of variables and Fourier Series. Understand theory and applications of General Fourier series, Sine Fourier series, Cosine Fourier series, and convergence of Fourier series. Solve inhomogenous PDEs.
  • Use theory of vector spaces, orthogonality of functions and inner products, self adjoint operators and apply to Sturm-Liouville Eigenvalue problems. Use eigen function expansions to solve nonhomogenous problems.
  • Analyze nonlinear autonomous system by finding equilibrium points and stability. Understand concept of linearization and the Hartman-Grobman Theorem. Find and analyze Hopf bifurcation as well as other commonly known bifurcations
  • Apply Numerical methods and understand importance of stability and accuracy. Be able to implement in Maple. Be able to use state of the art DE solvers.

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2

Differential Equations | Complete Differential Equations

Differential Equations Step by Step | Formation of Differential Equations | Solution of Differential Equations
NT$ 590

點擊看Udemy

課程老師Mathiit Digital
課程評價4.5 分(7 個評分)
課程時長9 小時
學生人數5,963 人

課程介紹

Learn Differential Equation:

This course includes video lectures and text explanations of everything from differential equations and its applications, and it includes 7 quizzes (with video solutions!) and  for practice worksheet with extra practice

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哪些人適合這堂課?

  • those who want to learn differential equation

學習目標

  • Differential Equations
  • Formation of differential Equation
  • Solution of differential equation by variable seperation
  • Solution of differential equation by substitution
  • Homogeneous differential equation
  • Linear differential equation
  • solution of differential equation of higher degree

關注這課程的人也購買了這些…

    1

    Advance Maths: Part I: Linear Differential Equations

    Linear Differential Equations (LDE) and its Applications
    NT$ 1,190
    NT$ 390

    點擊看Udemy

    課程老師Seema Ranaware
    課程評價4.8 分(13 個評分)
    課程時長4 小時
    學生人數8,559 人

    課程介紹

    This course covers all the details of Linear Differential Equations (LDE) which includes LDE of second and higher order with constant coefficients, homogeneous equations, variation of parameters, Euler’s/ Cauchy’s equations, Legendre’s form, solving

    瞭解更多細節

    哪些人適合這堂課?

    • 12+ graders, graduate/ post graduate students, diploma (polytechnic), engineering students

    學習目標

    • Advanced Mathematics required in technical courses/ graduate/ post graduate level

    關注這課程的人也購買了這些…



    微分方程式課程總覽

    看完了一連串課程的介紹後,你是否還想要再一次進行課程總比較呢?

    課程名稱Advance Maths: Part I: Linear Differential EquationsDifferential Equations | Complete Differential EquationsA Complete First Course in Differential EquationsSystem Dynamics and ControlsDifferential Equations In DepthDifferential Equations with the Math SorcererOrdinary Differential Equations: 30+ Hours!Differential EquationsThe Numerical Solution of ODE’s and PDE’sAdvanced Engineering Mathematics
    課程圖示
    1

    Advance Maths: Part I: Linear Differential Equations

    2

    Differential Equations | Complete Differential Equations

    3

    A Complete First Course in Differential Equations

    4

    System Dynamics and Controls

    5

    Differential Equations In Depth

    6

    Differential Equations with the Math Sorcerer

    7

    Ordinary Differential Equations: 30+ Hours!

    8

    Differential Equations

    9

    The Numerical Solution of ODE's and PDE's

    10

    Advanced Engineering Mathematics

    課程原價NT$ 1,190NT$ 1,390NT$ 2,990NT$ 1,790NT$ 2,790NT$ 2,790NT$ 590NT$ 990NT$ 590
    課程售價NT$ 390NT$ 590NT$ 430NT$ 430NT$ 430NT$ 430NT$ 390NT$ 390NT$ 390NT$ 390
    課程評價(人數)4.8 分(13 個評分)4.5 分(7 個評分)4.1 分(458 個評分)4.5 分(389 個評分)4.7 分(189 個評分)4.5 分(179 個評分)4.5 分(65 個評分)4.1 分(17 個評分)4.4 分(22 個評分)4.1 分(9 個評分)
    課程時長4 小時9 小時29.5 小時18.5 小時3.5 小時11 小時31.5 小時2.5 小時2 小時4 小時
    學生人數8,559 人5,963 人4,231 人2,546 人1,654 人1,499 人704 人208 人190 人77 人
    課程特色Linear Differential Equations (LDE) and its ApplicationsDifferential Equations Step by Step | Formation of Differential Equations | Solution of Differential EquationsA University Level Introductory Course in Differential EquationsMathematical Modeling of Systems and MoreAn in-depth course on differential equations, covering first/second order ODEs, PDEs and numerical methods, too!Complete Differential Equations Course with TONS of worked problems and assignments:)Most clear and informative Ordinary Differential Equations course out there! Dozens of Examples and Exercises.Videos on a first course in differential equations.Introductory numerical methods to solve ordinary and partial differential equationsFor Engineers and Hobbyists
    連結UdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemy



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    還是您有熱衷某個老師開的課程呢?
    本頁除了提供微分方程式的課程以外,也列出這些課程所屬的老師的主要資訊頁,您可以從下列選單中了解更多相關介紹或看他們開的其他課程,期望您最終能找到自己想學習的項目。



    【2021年】十大微分方程式課程人氣排行推薦

    參考其他數學線上課程

    除了本文介紹的課程種類以外,想要瞭解數學領域還有哪些不同類型的課程值得一探究竟嗎?讓您可以從不同面向更紮實的學習,點擊參考以下其他熱門主題文章。絕對提供您最優惠人氣滿檔的課程,歡迎繼續延伸閱讀。


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