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🌟🌟🌟🌟🌟 Krista does a great job explaining the topics in this course. I've been looking for a course that can help me understand the Mathematics behind Machine Learning and this course fits perfectly.\n

🌟🌟🌟🌟🌟 The curriculum is comprehensive and is presented clearly and in a deliberate stepwise fashion. Ms. King is very knowledgeable and has a knack for making even complicated subjects easy to understand. She has a pleasant and friendly manner as well as a nurturing approach that helps you learn. I use all of her math courses to help tutor my daughter in her high school math subjects. You can not go wrong with any of Ms. King’s courses.\n

The curriculum includes:\n

First order equations\n\t
1. Classifying differential equations
2. Linear equations
3. Initial value problems
4. Separable equations
5. Substitutions
6. Bernoulli equations
7. Homogeneous equations
8. Exact equations
Second order equations\n\t
1. Second order linear homogeneous equations
2. Reduction of order
3. Undetermined coefficients for nonhomogeneous equations
4. Variation of parameters for nonhomogeneous equations
5. Fundamental solution sets and the Wronskian
6. Variation of parameters with the Wronskian
7. Initial value problems with nonhomogeneous equations
Modeling with differential equations\n\t
1. Direction fields and solution curves
2. Intervals of validity
3. Euler's method
4. Autonomous equations and equilibrium solutions
5. The logistic equation
6. Predator-prey systems
7. Exponential growth and decay
8. Mixing problems
9. Newton's Law of Cooling
10. Electrical series circuits
11. Spring and mass systems
Series solutions\n\t
1. Power series basics
2. Adding power series
3. Power series solutions
4. Nonpolynomial coefficients
5. Singular points and Frobenius' Theorem
Laplace transforms\n\t
1. The Laplace transform
2. Table of transforms
3. Exponential type
4. Partial fractions decompositions
5. Inverse Laplace transforms
6. Transforming derivatives
7. Laplace transforms for initial value problems
8. Step function
9. Second Shifting Theorem
10. Laplace transforms of step functions
11. Step functions with initial value problems
12. The Dirac delta function
13. Convolution integrals
14. Convolution integrals for initial value problems
Systems of differential equations\n\t
1. Matrix basics
2. Building systems
3. Solving systems
4. Distinct real Eigenvalues
5. Equal real Eigenvalues with multiplicity two
6. Equal real Eigenvalues with multiplicity three
7. Complex Eigenvalues
8. Phase portraits for distinct real Eigenvalues
9. Phase portraits for equal real Eigenvalues
10. Phase portraits for complex Eigenvalues
11. Undetermined coefficients for nonhomogeneous systems
12. Variation of parameters for nonhomogeneous systems
13. The matrix exponential
Higher order equations\n\t
1. Homogeneous higher order equations
2. Undetermined coefficients for higher order equations
3. Variation of parameters for higher order equations
4. Laplace transforms for higher order equations
5. Systems of higher order equations
6. Series solutions of higher order equations
Fourier series\n\t
1. Fourier series representations
2. Periodic functions and periodic extensions
3. Representing piecewise functions
4. Convergence of a Fourier series
5. Fourier cosine series
6. Fourier sine series
7. Cosine and sine series of piecewise functions
Partial differential equations\n\t
1. Separation of variables
2. Boundary value problems
3. The heat equation
4. Changing the temperature boundaries
5. Laplace's equation

About the Author\n

Krista King is a math tutor, online educator, and the creator of KristaKingMath.com. Her YouTube channel has more than 43.5 million views, and her online courses have helped more than 244,000 students.

\"Krista is very very quick to respond. I've had a few questions and I usually didn't have to wait much longer than a day to get an answer. Not only that, but she obviously spent time answering to make sure I understood the content.\" - Morgan Gray\n

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Differential Equations, and every other Krista King Math course
Step-by-step videos
Course notes and flashcards
Practice quizzes
Bonus practice workbooks
Comprehensive formula sheets
Summary study sheets
Practice final exams

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