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Become a Differential Equations Master

Master differential equations! Learn concepts & practice with 680+ questions. Perfect for students & professionals.

4.7(931)
12,845students
23h 23m
Certificate
Krista King
Krista KingYour guide to understanding math.

Course Content

Become a Differential Equations Master is an all-levels Udemy course taught by Krista King. It runs 23h 23m, is taught in English, and includes a certificate of completion. Learners rate it 4.7 out of 5 from 931 reviews, with 12,845 students enrolled. It is a paid course, last updated September 2025.

Master Differential Equations with Ease: A Comprehensive Course

This in-depth course, Become a Differential Equations Master, transforms complex math into understandable concepts. With 260 lessons combining video instruction and clear text explanations, you'll gain a solid foundation in differential equations. Reinforce your learning with 76 quizzes (with solutions!) and 9 supplementary workbooks packed with extra practice problems.

The course is structured into these key sections:

  • First Order Equations: Master linear, separable, and Bernoulli equations – essential building blocks for understanding differential equations.
  • Second Order Equations: Explore homogeneous and nonhomogeneous equations, learn techniques for solving with undetermined coefficients, and utilize variation of parameters.
  • Modeling with Differential Equations: Apply differential equations to real-world scenarios. Learn Euler's method, analyze exponential growth and decay using the logistic equation, and understand electrical series and spring-mass systems.
  • Series Solutions: Develop proficiency in power series solutions, handle nonpolynomial coefficients, and apply Frobenius' Theorem to solve complex equations.
  • Laplace Transforms: Become adept at using Laplace and inverse Laplace transforms, understand the Second Shifting Theorem, work with Dirac delta functions, and perform convolution integrals.
  • Systems of Differential Equations: Solve systems with real and complex eigenvalues, analyze trajectories and phase portraits, and utilize the matrix exponential.
  • Higher Order Equations: Tackle nonhomogeneous equations, understand their Laplace transforms, solve systems of higher-order equations, and apply series solutions.
  • Fourier Series: Learn about periodic extensions, convergence of Fourier series, and apply Fourier cosine and sine series to piecewise functions.
  • Partial Differential Equations: Master separation of variables and boundary value problems. Study the heat equation and Laplace's equation.

Inside Each Section, You'll Find:

  • Engaging Videos: Follow step-by-step problem-solving as I explain concepts and techniques. I detail problem setup, solution steps, and simplification strategies.
  • Concise Notes: Access essential information and key takeaways – your "Cliff Notes" for mastering each topic.
  • Practice Quizzes: Test your understanding and identify areas for improvement. Review videos and notes for support.
  • Extensive Workbooks: Solidify your knowledge with a wealth of extra practice problems at the end of each section.

What Students Are Saying:

"King 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!" - KDH

"Once 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!" - Juan C.

"Straight forward and time-saving - thank you!" - Luisa B.

You'll Also Receive:

  • Lifetime Access: Study at your own pace, anytime.
  • Friendly Q&A Support: Get help when you need it.
  • Udemy Certificate of Completion: Showcase your new skills.
  • 30-Day Money-Back Guarantee: Try risk-free.

Enroll today and begin your journey to mastering differential equations! – Krista :)

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