Differential Equations In Depth

سرفصل های دوره

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

1 - Introduction to Differential Equations

1 - Course Introduction

2 - A Word on Notation

3 - Chain Rule

4 - Implicit Differentiation

5 - Lets Make a Differential Equation

6 - Equation Order

7 - Verifying Solutions

2 - FirstOrder Differential Equations

8 - Direct Integration

9 - Separation of Variables

10 - Homogeneous Functions

11 - Homogeneous Equations

12 - Linear Equations

13 - Bernoullis Equations

14 - Exact Equations

15 - Solving DIfferential Equations in MATLAB

16 - Summary

3 - SecondOrder Differential Equations

17 - Reduction of Order

18 - SecondOrder Linear

19 - Two Distinct Real Roots

20 - Single Real Root

21 - Complex Roots

4 - Laplace Transform

22 - Introduction

23 - A Few Transforms

24 - Inverse Transform

25 - Transform of a Derivative

26 - Laplace Transforms in MATLAB

27 - Differentiating Laplace Transforms

28 - Solving Differential Equations

29 - Integration of a Laplace Transform

5 - Fourier Series

30 - Introduction

31 - Integrals of Periodic Functions

32 - Orthogonality

33 - Fourier Series

34 - Fourier Coefficients

6 - Partial Differential Equations

35 - Partial Derivatives

36 - Notation

37 - Partial Differential Equations

38 - Boundary Conditions

39 - Symbolic Solutions in Maple

40 - Heat Conduction Equation

41 - Wave Equation

42 - Wave Equation Example

7 - Numerical Methods

43 - Introduction

44 - Eulers Method

45 - Improved Eulers Method

45 - improvedeuler.zip

46 - RungeKutta Method

47 - Numerical Approximation of Derivaties

8 - End of Course

48 - A Beginners Guide to Numerical Methods in MATLAB.txt

48 - Bonus Lecture Other Courses at a Discount.html

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تولید کننده: Udemy