Become a Differential Equations Master
-
Getting Started
-
First order equationsIntroduction to first order equations1m 13sRESOURCE: Quiz solutions for this sectionClassifying differential equationsClassifying differential equations0sLinear equationsLinear equations0sInitial value problemsInitial value problems0sSeparable equationsSeparable equations0sSubstitutionsSubstitutions0sBernoulli equationsBernoulli equations0sHomogeneous equationsHomogeneous equations0sExact equationsExact equations0sBONUS! Extra practice problems. :)
-
Second order equationsIntroduction to second order equations0sRESOURCE: Quiz solutions for this sectionSecond order linear homogeneous equationsSecond order linear homogeneous equations0sReduction of orderReduction of order0sUndetermined coefficients for nonhomogeneous equationsUndetermined coefficients for nonhomogeneous equations0sVariation of parameters for nonhomogeneous equationsVariation of parameters for nonhomogeneous equations0sFundamental solution sets and the WronskianFundamental solution sets and the Wronskian0sVariation of parameters with the WronskianVariation of parameters with the Wronskian0sInitial value problems with nonhomogeneous equationsInitial value problems with nonhomogeneous equations0sBONUS! Extra practice problems. :)
-
Modeling with differential equationsIntroduction to modeling with differential equations0sRESOURCE: Quiz solutions for this sectionDirection fields and solution curvesDirection fields and solution curves0sIntervals of validityIntervals of validity0sEuler’s methodEuler’s method0sAutonomous equations and equilibrium solutionsAutonomous equations and equilibrium solutions0sThe logistic equationThe logistic equation0sPredator-prey systemsPredator-prey systems0sExponential growth and decayExponential growth and decay0sMixing problemsMixing problems0sNewton’s Law of CoolingNewton’s Law of Cooling0sElectrical series circuitsElectrical series circuits0sSpring and mass systemsSpring and mass systems0sBONUS! Extra practice problems. :)
-
Series solutionsIntroduction to series solutions0sRESOURCE: Quiz solutions for this sectionPower series basicsPower series basics0sAdding power seriesAdding power series0sPower series solutionsPower series solutions0sNonpolynomial coefficientsNonpolynomial coefficients0sSingular points and Frobenius’ TheoremSingular points and Frobenius’ Theorem0sBONUS! Extra practice problems. :)
-
Laplace transformsIntroduction to Laplace transforms0sRESOURCE: Quiz solutions for this sectionThe Laplace transformThe Laplace transform0sTable of transformsTable of transforms0sExponential typeExponential type0sPartial fractions decompositionsPartial fractions decompositions0sInverse Laplace transformsInverse Laplace transforms0sTransforming derivativesTransforming derivatives0sLaplace transforms for initial value problemsLaplace transforms for initial value problems0sStep functionsStep functions0sSecond Shifting TheoremSecond Shifting Theorem0sLaplace transforms of step functionsLaplace transforms of step functions0sStep functions with initial value problemsStep functions with initial value problems0sThe Dirac delta functionThe Dirac delta function0sConvolution integralsConvolution integrals0sConvolution integrals for initial value problemsConvolution integrals for initial value problems0sBONUS! Extra practice problems. :)
-
Systems of differential equationsIntroduction to systems of differential equations0sRESOURCE: Quiz solutions for this sectionMatrix basicsMatrix basics0sBuilding systemsBuilding systems0sSolving systemsSolving systems0sDistinct real EigenvaluesDistinct real Eigenvalues0sEqual real Eigenvalues with multiplicity twoEqual real Eigenvalues with multiplicity two0sEqual real Eigenvalues with multiplicity threeEqual real Eigenvalues with multiplicity three0sComplex EigenvaluesComplex Eigenvalues0sPhase portraits for distinct real EigenvaluesPhase portraits for distinct real Eigenvalues0sPhase portraits for equal real EigenvaluesPhase portraits for equal real Eigenvalues0sPhase portraits for complex EigenvaluesPhase portraits for complex Eigenvalues0sUndetermined coefficients for nonhomogeneous systemsUndetermined coefficients for nonhomogeneous systems0sVariation of parameters for nonhomogeneous systemsVariation of parameters for nonhomogeneous systems0sThe matrix exponentialThe matrix exponential0sBONUS! Extra practice problems. :)
-
Higher order equationsIntroduction to higher order equations0sRESOURCE: Quiz solutions for this sectionHomogeneous higher order equationsHomogeneous higher order equations0sUndetermined coefficients for higher order equationsUndetermined coefficients for higher order equations0sVariation of parameters for higher order equationsVariation of parameters for higher order equations0sLaplace transforms for higher order equationsLaplace transforms for higher order equations0sSystems of higher order equationsSystems of higher order equations0sSeries solutions of higher order equationsSeries solutions of higher order equations0sBONUS! Extra practice problems. :)
-
Fourier seriesIntroduction to Fourier series0sRESOURCE: Quiz solutions for this sectionFourier series representationsFourier series representations0sPeriodic functions and periodic extensionsPeriodic functions and periodic extensions0sRepresenting piecewise functionsRepresenting piecewise functions0sConvergence of a Fourier seriesConvergence of a Fourier series0sFourier cosine seriesFourier cosine series0sFourier sine seriesFourier sine series0sCosine and sine series of piecewise functionsCosine and sine series of piecewise functions0sBONUS! Extra practice problems. :)
-
Partial differential equationsIntroduction to partial differential equations0sRESOURCE: Quiz solutions for this sectionSeparation of variablesSeparation of variables0sBoundary value problemsBoundary value problems0sThe heat equationThe heat equation0sChanging the temperature boundariesChanging the temperature boundaries0sLaplace’s equationLaplace’s equation0sBONUS! Extra practice problems. :)
-
Final exam and wrap-up
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 you’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. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.
Quizzes: When you think you’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:
“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 GET:
Lifetime access to Become a Differential Equations Master
Friendly support in the Q&A section
Xlbake Certificate of Completion available for download
Enroll today!
I can’t wait for you to get started on mastering Differential Equations.
– Krista 🙂
What's included
- 23.5 hours on-demand video
- 99 articles
- 178 downloadable resources
- Access on mobile and TV
- Certificate of completion