Become a Differential Equations Master

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Krista King

23:10:48

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1. Getting started

1. Hi! START HERE Course overview.mp4

01:27

2.1 Differential Equations.formulas.pdf

2. Download the formula sheet.html

3.1 Become a Differential Equations Master.zip

3. The EVERYTHING download.html

2. First order equations

1. Introduction to first order equations.mp4

01:12

2.1 Bernoulli equations.pdf

2.2 Classifying differential equations.pdf

2.3 Exact equations.pdf

2.4 Homogeneous equations.pdf

2.5 Initial value problems.pdf

2.6 Linear equations.pdf

2.7 Separable equations.pdf

2.8 Substitutions.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Classifying differential equations.pdf

3. Classifying differential equations.html

4. Classifying differential equations.mp4

15:18

5. Classifying differential equations.html

6.1 Linear equations.pdf

6. Linear equations.html

7. Linear equations.mp4

21:21

8. Linear equations.html

9.1 Initial value problems.pdf

9. Initial value problems.html

10. Initial value problems.mp4

05:45

11. Initial value problems.html

12.1 Separable equations.pdf

12. Separable equations.html

13. Separable equations.mp4

10:37

14. Separable equations.html

15.1 Substitutions.pdf

15. Substitutions.html

16. Substitutions.mp4

12:46

17. Substitutions.html

18.1 Bernoulli equations.pdf

18. Bernoulli equations.html

19. Bernoulli equations.mp4

15:02

20. Bernoulli equations.html

21.1 Homogeneous equations.pdf

21. Homogeneous equations.html

22. Homogeneous equations.mp4

16:34

23. Homogeneous equations.html

24.1 Exact equations.pdf

24. Exact equations.html

25. Exact equations.mp4

14:56

26. Exact equations.html

27.1 Workbook.first order equations.pdf

27.2 Workbook.first order equations.solutions.pdf

27. BONUS! Extra practice problems. ).html

3. Second order equations

1. Introduction to second order equations.mp4

01:06

2.1 Fundamental solution sets and the Wronskian.pdf

2.2 Initial value problems with nonhomogeneous equations.pdf

2.3 Reduction of order.pdf

2.4 Second order linear homogeneous equations.pdf

2.5 Undetermined coefficients for nonhomogeneous equations.pdf

2.6 Variation of parameters for nonhomogeneous equations.pdf

2.7 Variation of parameters with the Wronskian.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Second order linear homogeneous equations.pdf

3. Second order linear homogeneous equations.html

4. Second order linear homogeneous equations.mp4

19:04

5. Second order linear homogeneous equations.html

6.1 Reduction of order.pdf

6. Reduction of order.html

7. Reduction of order.mp4

17:20

8. Reduction of order.html

9.1 Undetermined coefficients for nonhomogeneous equations.pdf

9. Undetermined coefficients for nonhomogeneous equations.html

10. Undetermined coefficients for nonhomogeneous equations.mp4

23:54

11. Undetermined coefficients for nonhomogeneous equations.html

12.1 Variation of parameters for nonhomogeneous equations.pdf

12. Variation of parameters for nonhomogeneous equations.html

13. Variation of parameters for nonhomogeneous equations.mp4

12:00

14. Variation of parameters for nonhomogeneous equations.html

15.1 Fundamental solution sets and the Wronskian.pdf

15. Fundamental solution sets and the Wronskian.html

16. Fundamental solution sets and the Wronskian.mp4

18:50

17. Fundamental solution sets and the Wronskian.html

18.1 Variation of parameters with the Wronskian.pdf

18. Variation of parameters with the Wronskian.html

19. Variation of parameters with the Wronskian.mp4

13:32

20. Variation of parameters with the Wronskian.html

21.1 Initial value problems with nonhomogeneous equations.pdf

21. Initial value problems with nonhomogeneous equations.html

22. Initial value problems with nonhomogeneous equations.mp4

06:36

23. Initial value problems with nonhomogeneous equations.html

24.1 Workbook.second order equations.pdf

24.2 Workbook.second order equations.solutions.pdf

24. BONUS! Extra practice problems. ).html

4. Modeling with differential equations

1. Introduction to modeling with differential equations.mp4

01:04

2.1 Autonomous equations and equilibrium solutions.pdf

2.2 Direction fields and solution curves.pdf

2.3 Electrical series circuits.pdf

2.4 Eulers method.pdf

2.5 Exponential growth and decay.pdf

2.6 Intervals of validity.pdf

2.7 Mixing problems.pdf

2.8 Newtons Law of Cooling.pdf

2.9 Predator-prey systems.pdf

2.10 Spring and mass systems.pdf

2.11 The logistic equation.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Direction fields and solution curves.pdf

3. Direction fields and solution curves.html

4. Direction fields and solution curves.mp4

15:21

5. Direction fields and solution curves.html

6.1 Intervals of validity.pdf

6. Intervals of validity.html

7. Intervals of validity.mp4

20:26

8. Intervals of validity.html

9.1 Eulers method.pdf

9. Eulers method.html

10. Eulers method.mp4

11:02

11. Eulers method.html

12.1 Autonomous equations and equilibrium solutions.pdf

12. Autonomous equations and equilibrium solutions.html

13. Autonomous equations and equilibrium solutions.mp4

17:58

14. Autonomous equations and equilibrium solutions.html

15.1 The logistic equation.pdf

15. The logistic equation.html

16. The logistic equation.mp4

11:41

17. The logistic equation.html

18.1 Predator-prey systems.pdf

18. Predator-prey systems.html

19. Predator-prey systems.mp4

11:13

20. Predator-prey systems.html

21.1 Exponential growth and decay.pdf

21. Exponential growth and decay.html

22. Exponential growth and decay.mp4

12:02

23. Exponential growth and decay.html

24.1 Mixing problems.pdf

24. Mixing problems.html

25. Mixing problems.mp4

20:02

26. Mixing problems.html

27.1 Newtons Law of Cooling.pdf

27. Newtons Law of Cooling.html

28. Newtons Law of Cooling.mp4

13:49

29. Newtons Law of Cooling.html

30.1 Electrical series circuits.pdf

30. Electrical series circuits.html

31. Electrical series circuits.mp4

20:21

32. Electrical series circuits.html

33.1 Spring and mass systems.pdf

33. Spring and mass systems.html

34. Spring and mass systems.mp4

33:20

35. Spring and mass systems.html

36.1 Workbook.modeling with differential equations.pdf

36.2 Workbook.modeling with differential equations.solutions.pdf

36. BONUS! Extra practice problems. ).html

5. Series solutions

1. Introduction to series solutions.mp4

00:58

2.1 Adding power series.pdf

2.2 Nonpolynomial coefficients.pdf

2.3 Power series basics.pdf

2.4 Power series solutions.pdf

2.5 Singular points and Frobenius Theorem.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Power series basics.pdf

3. Power series basics.html

4. Power series basics.mp4

29:25

5. Power series basics.html

6.1 Adding power series.pdf

6. Adding power series.html

7. Adding power series.mp4

12:22

8. Adding power series.html

9.1 Power series solutions.pdf

9. Power series solutions.html

10. Power series solutions.mp4

32:12

11. Power series solutions.html

12.1 Nonpolynomial coefficients.pdf

12. Nonpolynomial coefficients.html

13. Nonpolynomial coefficients.mp4

14:58

14. Nonpolynomial coefficients.html

15.1 Singular points and Frobenius Theorem.pdf

15. Singular points and Frobenius Theorem.html

16. Singular points and Frobenius Theorem.mp4

27:40

17. Singular points and Frobenius Theorem.html

18. BONUS! Extra practice problems. ).html

6. Laplace transforms

1. Introduction to Laplace transforms.mp4

01:07

2.1 Convolution integrals for initial value problems.pdf

2.2 Convolution integrals.pdf

2.3 Exponential type.pdf

2.4 Inverse Laplace transforms.pdf

2.5 Laplace transforms for initial value problems.pdf

2.6 Laplace transforms of step functions.pdf

2.7 Partial fractions decompositions.pdf

2.8 Second Shifting Theorem.pdf

2.9 Step functions with initial value problems.pdf

2.10 Step functions.pdf

2.11 Table of transforms.pdf

2.12 The Dirac delta function.pdf

2.13 The Laplace transform.pdf

2.14 Transforming derivatives.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 The Laplace transform.pdf

3. The Laplace transform.html

4. The Laplace transform.mp4

15:28

5. The Laplace transform.html

6.1 Table of transforms.pdf

6. Table of transforms.html

7. Table of transforms.mp4

07:59

8. Table of transforms.html

9.1 Exponential type.pdf

9. Exponential type.html

10. Exponential type.mp4

14:04

11. Exponential type.html

12.1 Partial fractions decompositions.pdf

12. Partial fractions decompositions.html

13. Partial fractions decompositions.mp4

16:16

14. Partial fractions decompositions.html

15.1 Inverse Laplace transforms.pdf

15. Inverse Laplace transforms.html

16. Inverse Laplace transforms.mp4

08:55

17. Inverse Laplace transforms.html

18.1 Transforming derivatives.pdf

18. Transforming derivatives.html

19. Transforming derivatives.mp4

08:18

20. Transforming derivatives.html

21.1 Laplace transforms for initial value problems.pdf

21. Laplace transforms for initial value problems.html

22. Laplace transforms for initial value problems.mp4

27:35

23. Laplace transforms for initial value problems.html

24.1 Step functions.pdf

24. Step functions.html

25. Step functions.mp4

15:22

26. Step functions.html

27.1 Second Shifting Theorem.pdf

27. Second Shifting Theorem.html

28. Second Shifting Theorem.mp4

19:06

29. Second Shifting Theorem.html

30.1 Laplace transforms of step functions.pdf

30. Laplace transforms of step functions.html

31. Laplace transforms of step functions.mp4

21:47

32. Laplace transforms of step functions.html

33.1 Step functions with initial value problems.pdf

33. Step functions with initial value problems.html

34. Step functions with initial value problems.mp4

20:27

35. Step functions with initial value problems.html

36.1 The Dirac delta function.pdf

36. The Dirac delta function.html

37. The Dirac delta function.mp4

09:57

38. The Dirac delta function.html

39.1 Convolution integrals.pdf

39. Convolution integrals.html

40. Convolution integrals.mp4

17:09

41. Convolution integrals.html

42.1 Convolution integrals for initial value problems.pdf

42. Convolution integrals for initial value problems.html

43. Convolution integrals for initial value problems.mp4

13:40

44. Convolution integrals for initial value problems.html

45. BONUS! Extra practice problems. ).html

7. Systems of differential equations

1. Introduction to systems of differential equations.mp4

01:01

2.1 Building systems.pdf

2.2 Complex Eigenvalues.pdf

2.3 Direct real Eigenvalues.pdf

2.4 Equal real Eigenvalues with multiplicity three.pdf

2.5 Equal real Eigenvalues with multiplicity two.pdf

2.6 Matrix basics.pdf

2.7 Phase portraits for complex Eigenvalues.pdf

2.8 Phase portraits for distinct real Eigenvalues.pdf

2.9 Phase portraits for equal real Eigenvalues.pdf

2.10 Solving systems.pdf

2.11 The matrix exponential.pdf

2.12 Undetermined coefficients for nonhomogeneous systems.pdf

2.13 Variation of parameters for nonhomogeneous systems.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Matrix basics.pdf

3. Matrix basics.html

4. Matrix basics.mp4

33:14

5. Matrix basics.html

6.1 Building systems.pdf

6. Building systems.html

7. Building systems.mp4

16:32

8. Building systems.html

9.1 Solving systems.pdf

9. Solving systems.html

10. Solving systems.mp4

23:05

11. Solving systems.html

12.1 Distinct real Eigenvalues.pdf

12. Distinct real Eigenvalues.html

13. Distinct real Eigenvalues.mp4

27:56

14. Distinct real Eigenvalues.html

15.1 Equal real Eigenvalues with multiplicity two.pdf

15. Equal real Eigenvalues with multiplicity two.html

16. Equal real Eigenvalues with multiplicity two.mp4

16:14

17. Equal real Eigenvalues with multiplicity two.html

18.1 Equal real Eigenvalues with multiplicity three.pdf

18. Equal real Eigenvalues with multiplicity three.html

19. Equal real Eigenvalues with multiplicity three.mp4

20:07

20. Equal real Eigenvalues with multiplicity three.html

21.1 Complex Eigenvalues.pdf

21. Complex Eigenvalues.html

22. Complex Eigenvalues.mp4

15:49

23. Complex Eigenvalues.html

24.1 Phase portraits for distinct real Eigenvalues.pdf

24. Phase portraits for distinct real Eigenvalues.html

25. Phase portraits for distinct real Eigenvalues.mp4

23:49

26. Phase portraits for distinct real Eigenvalues.html

27.1 Phase portraits for equal real Eigenvalues.pdf

27. Phase portraits for equal real Eigenvalues.html

28. Phase portraits for equal real Eigenvalues.mp4

15:12

29. Phase portraits for equal real Eigenvalues.html

30.1 Phase portraits for complex Eigenvalues.pdf

30. Phase portraits for complex Eigenvalues.html

31. Phase portraits for complex Eigenvalues.mp4

07:00

32. Phase portraits for complex Eigenvalues.html

33.1 Undetermined coefficients for nonhomogeneous systems.pdf

33. Undetermined coefficients for nonhomogeneous systems.html

34. Undetermined coefficients for nonhomogeneous systems.mp4

41:19

35. Undetermined coefficients for nonhomogeneous systems.html

36.1 Variation of parameters for nonhomogeneous systems.pdf

36. Variation of parameters for nonhomogeneous systems.html

37. Variation of parameters for nonhomogeneous systems.mp4

21:08

38. Variation of parameters for nonhomogeneous systems.html

39.1 The matrix exponential.pdf

39. The matrix exponential.html

40. The matrix exponential.mp4

28:06

41. The matrix exponential.html

8. Higher order equations

1. Introduction to higher order equations.mp4

01:03

2.1 Homogeneous higher order equations.pdf

2.2 Laplace transforms for higher order equations.pdf

2.3 Series solutions of higher order equations.pdf

2.4 Systems of higher order equations.pdf

2.5 Undetermined coefficients for higher order equations.pdf

2.6 Variation of parameters for higher order equations.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Homogeneous higher order equations.pdf

3. Homogeneous higher order equations.html

4. Homogeneous higher order equations.mp4

14:12

5. Homogeneous higher order equations.html

6.1 Undetermined coefficients for higher order equations.pdf

6. Undetermined coefficients for higher order equations.html

7. Undetermined coefficients for higher order equations.mp4

09:10

8. Undetermined coefficients for higher order equations.html

9.1 Variation of parameters for higher order equations.pdf

9. Variation of parameters for higher order equations.html

10. Variation of parameters for higher order equations.mp4

19:14

11. Variation of parameters for higher order equations.html

12.1 Laplace transforms for higher order equations.pdf

12. Laplace transforms for higher order equations.html

13. Laplace transforms for higher order equations.mp4

15:41

14. Laplace transforms for higher order equations.html

15.1 Systems of higher order equations.pdf

15. Systems of higher order equations.html

16. Systems of higher order equations.mp4

21:42

17. Systems of higher order equations.html

18.1 Series solutions of higher order equations.pdf

18. Series solutions of higher order equations.html

19. Series solutions of higher order equations.mp4

21:10

20. Series solutions of higher order equations.html

9. Fourier series

1. Introduction to Fourier series.mp4

01:05

2.1 Convergence of a Fourier series.pdf

2.2 Cosine and sine series of piecewise functions.pdf

2.3 Fourier cosine series.pdf

2.4 Fourier series representations.pdf

2.5 Fourier sine series.pdf

2.6 Periodic functions and periodic extensions.pdf

2.7 Representing piecewise functions.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Fourier series representations.pdf

3. Fourier series representations.html

4. Fourier series representations.mp4

34:01

5. Fourier series representations.html

6.1 Periodic functions and periodic extensions.pdf

6. Periodic functions and periodic extensions.html

7. Periodic functions and periodic extensions.mp4

13:39

8. Periodic functions and periodic extensions.html

9.1 Representing piecewise functions.pdf

9. Representing piecewise functions.html

10. Representing piecewise functions.mp4

22:36

11. Representing piecewise functions.html

12.1 Convergence of a Fourier series.pdf

12. Convergence of a Fourier series.html

13. Convergence of a Fourier series.mp4

13:29

14. Convergence of a Fourier series.html

15.1 Fourier cosine series.pdf

15. Fourier cosine series.html

16. Fourier cosine series.mp4

26:24

17. Fourier cosine series.html

18.1 Fourier sine series.pdf

18. Fourier sine series.html

19. Fourier sine series.mp4

23:19

20. Fourier sine series.html

21.1 Cosine and sine series of piecewise functions.pdf

21. Cosine and sine series of piecewise functions.html

22. Cosine and sine series of piecewise functions.mp4

17:05

23. Cosine and sine series of piecewise functions.html

10. Partial differential equations

1. Introduction to partial differential equations.mp4

01:00

2.1 Boundary value problems.pdf

2.2 Changing the temperature boundaries.pdf

2.3 Laplaces equation.pdf

2.4 Separation of variables.pdf

2.5 The heat equation.pdf

2. RESOURCE Quiz solutions for this section.html

3.1 Separation of variables.pdf

3. Separation of variables.html

4. Separation of variables.mp4

13:37

5. Separation of variables.html

6.1 Boundary value problems.pdf

6. Boundary value problems.html

7. Boundary value problems.mp4

15:31

8. Boundary value problems.html

9.1 The heat equation.pdf

9. The heat equation.html

10. The heat equation.mp4

25:48

11. The heat equation.html

12.1 Changing the temperature boundaries.pdf

12. Changing the temperature boundaries.html

13. Changing the temperature boundaries.mp4

19:03

14. Changing the temperature boundaries.html

15.1 Laplaces equation.pdf

15. Laplaces equation.html

16. Laplaces equation.mp4

20:38

17. Laplaces equation.html

11. Final exam and wrap-up

1.1 Differential Equations.Final Exam.pdf

1.2 Differential Equations.Final Exam.Solutions.pdf

1. Differential Equations final exam.html

2. Wrap-up.mp4

00:25

Description

Learn everything from Differential Equations, then test your knowledge with 680+ practice questions

What You'll Learn?

First order equations, including linear, separable, and Bernoulli equations
Second order equations, including homogeneous and nonhomogeneous equations, undetermined coefficients, and variation of parameters
Modeling with differential equations, including Euler's method, the logistic equation, exponential growth and decay, electrical series, spring and mass systems
Series solutions, including power series solutions, nonpolynomial coefficients, and Frobenius' Theorem
Laplace transforms, including Laplace and inverse Laplace transforms, the Second Shifting Theorem, Dirac delta functions, and convolution integrals
Systems of differential equations, including solving systems with real and complex Eigenvalues, trajectories and phase portraits, and the matrix exponential
Higher order equations, including nonhomogeneous equations, their Laplace transforms, systems of higher order equations, and their series solutions
Fourier series, including periodic extensions, convergence of a Fourier series, Fourier cosine series and Fourier sine series, and piecewise functions
Partial differential equations, including separation of variables and boundary value problems, the heat equation, and Laplace's equation

Who is this for?

Current Differential Equations students, or students about to start Differential Equations who are looking to get ahead

Anyone who wants to study math for fun after being away from school for a while

Anyone who needs Differential Equations as a prerequisite for Machine Learning, Deep Learning, Artificial Intelligence, Computer Programming, Computer Graphics and Animation, Data Analysis, etc.

What You Need to Know?

You should be comfortable with the Fundamentals of Math, like arithmetic (addition, subtraction, multiplication, division) of positive and negative numbers, fractions, and decimals.

You should be comfortable with Algebra, like equation solving, graphing, and factoring, plus exponents and roots.

You should be comfortable with the basic properties of the sine and cosine functions, from Trigonometry

You should be comfortable with simple differentiation and integration, plus the basics of sequences and series, from Calculus 1 and 2

You should be comfortable with simple partial differentiation of multivariable functions, from Calculus 3

More details

Description
HOW BECOME A DIFFERENTIAL EQUATIONS MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:
This 260-lesson course includes video and text explanations of everything from Differential Equations, and it includes 76 quizzes (with solutions!) and an additional 9 workbooks with extra practice problems, to help you test your understanding along the way. Become a Differential Equations Master is organized into the following sections:
First order equations, including linear, separable, and Bernoulli equations
Second order equations, including homogeneous and nonhomogeneous equations, undetermined coefficients, and variation of parameters
Modeling with differential equations, including Euler's method, the logistic equation, exponential growth and decay, electrical series, spring and mass systems
Series solutions, including power series solutions, nonpolynomial coefficients, and Frobenius' Theorem
Laplace transforms, including Laplace and inverse Laplace transforms, the Second Shifting Theorem, Dirac delta functions, and convolution integrals
Systems of differential equations, including solving systems with real and complex Eigenvalues, trajectories and phase portraits, and the matrix exponential
Higher order equations, including nonhomogeneous equations, their Laplace transforms, systems of higher order equations, and their series solutions
Fourier series, including periodic extensions, convergence of a Fourier series, Fourier cosine series and Fourier sine series, and piecewise functions
Partial differential equations, including separation of variables and boundary value problems, the heat equation, and Laplace's equation

AND HERE'S WHAT YOU GET INSIDE OF EVERY SECTION:
Videos: Watch over my shoulder as I solve problems for every single math issue youâ€™ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.
Notes: The notes section of each lesson is where you find the most important things to remember. Itâ€™s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you donâ€™t.
Quizzes: When you think youâ€™ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.
Workbooks: Want even more practice? When you've finished the section, you can review everything you've learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they're a great way to solidify what you just learned in that section.

HERE'S WHAT SOME STUDENTS HAVE TOLD ME ABOUT MY COURSES:
â€œKing is a thorough teacher, her course is broken up into easily-digestible parts. Do some every day - and before you know it, you have a better understanding of math!â€ -Â KDH.
â€œOnce again, just like with Krista King's other courses, I got to enjoy clear explanations, and multiple examples, and discovered an unsuspected passion for math within myself. Highly recommended!â€ -Â Juan C.
"Straight forward and time-saving - thank you!" - Luisa B.

YOU'LL ALSO GET:
Lifetime access to Become a Differential Equations Master
Friendly support in the Q&A section
Udemy Certificate of Completion available for download
30-day money back guarantee

Enroll today!
I can't wait for you to get started on mastering Differential Equations.
- Krista :)
Who this course is for:
Current Differential Equations students, or students about to start Differential Equations who are looking to get ahead
Anyone who wants to study math for fun after being away from school for a while
Anyone who needs Differential Equations as a prerequisite for Machine Learning, Deep Learning, Artificial Intelligence, Computer Programming, Computer Graphics and Animation, Data Analysis, etc.

User Reviews

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Math class was always so frustrating.I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.I’d think, “WHY didn’t my teacher just tell me this in the first place?!”So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.

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