Become a Differential Equations Master
About Course
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
- 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 🙂
What Will You 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
Course Content
01 – Getting started
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A Message from the Professor
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001 What we’ll learn in this course.mp4
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002 How to get the most out of this course.mp4
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003 Download the formula sheet.html
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004 The EVERYTHING download.html
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02 – First order equations
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001 Introduction to first order equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Classifying differential equations.html
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004 Classifying differential equations.mp4
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006 Linear equations.html
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007 Linear equations.mp4
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009 Initial value problems.html
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010 Initial value problems.mp4
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012 Separable equations.html
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013 Separable equations.mp4
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015 Substitutions.html
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016 Substitutions.mp4
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018 Bernoulli equations.html
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019 Bernoulli equations.mp4
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021 Homogeneous equations.html
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022 Homogeneous equations.mp4
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024 Exact equations.html
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025 Exact equations.mp4
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027 BONUS! Extra practice problems. ).html
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03 – Second order equations
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001 Introduction to second order equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Second order linear homogeneous equations.html
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004 Second order linear homogeneous equations.mp4
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006 Reduction of order.html
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007 Reduction of order.mp4
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009 Undetermined coefficients for nonhomogeneous equations.html
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010 Undetermined coefficients for nonhomogeneous equations.mp4
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012 Variation of parameters for nonhomogeneous equations.html
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013 Variation of parameters for nonhomogeneous equations.mp4
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015 Fundamental solution sets and the Wronskian.html
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016 Fundamental solution sets and the Wronskian.mp4
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018 Variation of parameters with the Wronskian.html
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019 Variation of parameters with the Wronskian.mp4
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021 Initial value problems with nonhomogeneous equations.html
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022 Initial value problems with nonhomogeneous equations.mp4
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024 BONUS! Extra practice problems. ).html
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04 – Modeling with differential equations
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001 Introduction to modeling with differential equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Direction fields and solution curves.html
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004 Direction fields and solution curves.mp4
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006 Intervals of validity.html
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007 Intervals of validity.mp4
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009 Euler’s method.html
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010 Euler’s method.mp4
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012 Autonomous equations and equilibrium solutions.html
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013 Autonomous equations and equilibrium solutions.mp4
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015 The logistic equation.html
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016 The logistic equation.mp4
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018 Predator-prey systems.html
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019 Predator-prey systems.mp4
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021 Exponential growth and decay.html
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022 Exponential growth and decay.mp4
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024 Mixing problems.html
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025 Mixing problems.mp4
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027 Newton’s Law of Cooling.html
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028 Newton’s Law of Cooling.mp4
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030 Electrical series circuits.html
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031 Electrical series circuits.mp4
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033 Spring and mass systems.html
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034 Spring and mass systems.mp4
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036 BONUS! Extra practice problems. ).html
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05 – Series solutions
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001 Introduction to series solutions.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Power series basics.html
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004 Power series basics.mp4
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006 Adding power series.html
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007 Adding power series.mp4
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009 Power series solutions.html
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010 Power series solutions.mp4
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012 Nonpolynomial coefficients.html
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013 Nonpolynomial coefficients.mp4
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015 Singular points and Frobenius’ Theorem.html
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016 Singular points and Frobenius’ Theorem.mp4
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018 BONUS! Extra practice problems. ).html
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06 – Laplace transforms
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001 Introduction to Laplace transforms.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 The Laplace transform.html
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004 The Laplace transform.mp4
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006 Table of transforms.html
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007 Table of transforms.mp4
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009 Exponential type.html
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010 Exponential type.mp4
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012 Partial fractions decompositions.html
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013 Partial fractions decompositions.mp4
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015 Inverse Laplace transforms.html
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016 Inverse Laplace transforms.mp4
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018 Transforming derivatives.html
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019 Transforming derivatives.mp4
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021 Laplace transforms for initial value problems.html
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022 Laplace transforms for initial value problems.mp4
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024 Step functions.html
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025 Step functions.mp4
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027 Second Shifting Theorem.html
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028 Second Shifting Theorem.mp4
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030 Laplace transforms of step functions.html
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031 Laplace transforms of step functions.mp4
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033 Step functions with initial value problems.html
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034 Step functions with initial value problems.mp4
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036 The Dirac delta function.html
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037 The Dirac delta function.mp4
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039 Convolution integrals.html
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040 Convolution integrals.mp4
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042 Convolution integrals for initial value problems.html
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043 Convolution integrals for initial value problems.mp4
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045 BONUS! Extra practice problems. ).html
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07 – Systems of differential equations
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001 Introduction to systems of differential equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Matrix basics.html
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004 Matrix basics.mp4
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006 Building systems.html
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007 Building systems.mp4
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009 Solving systems.html
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010 Solving systems.mp4
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012 Distinct real Eigenvalues.html
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013 Distinct real Eigenvalues.mp4
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015 Equal real Eigenvalues with multiplicity two.html
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016 Equal real Eigenvalues with multiplicity two.mp4
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018 Equal real Eigenvalues with multiplicity three.html
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019 Equal real Eigenvalues with multiplicity three.mp4
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021 Complex Eigenvalues.html
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022 Complex Eigenvalues.mp4
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024 Phase portraits for distinct real Eigenvalues.html
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025 Phase portraits for distinct real Eigenvalues.mp4
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027 Phase portraits for equal real Eigenvalues.html
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028 Phase portraits for equal real Eigenvalues.mp4
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030 Phase portraits for complex Eigenvalues.html
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031 Phase portraits for complex Eigenvalues.mp4
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033 Undetermined coefficients for nonhomogeneous systems.html
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034 Undetermined coefficients for nonhomogeneous systems.mp4
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036 Variation of parameters for nonhomogeneous systems.html
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037 Variation of parameters for nonhomogeneous systems.mp4
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039 The matrix exponential.html
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040 The matrix exponential.mp4
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042 BONUS! Extra practice problems. ).html
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08 – Higher order equations
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001 Introduction to higher order equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Homogeneous higher order equations.html
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004 Homogeneous higher order equations.mp4
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006 Undetermined coefficients for higher order equations.html
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007 Undetermined coefficients for higher order equations.mp4
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009 Variation of parameters for higher order equations.html
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010 Variation of parameters for higher order equations.mp4
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012 Laplace transforms for higher order equations.html
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013 Laplace transforms for higher order equations.mp4
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015 Systems of higher order equations.html
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016 Systems of higher order equations.mp4
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018 Series solutions of higher order equations.html
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019 Series solutions of higher order equations.mp4
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021 BONUS! Extra practice problems. ).html
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09 – Fourier series
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001 Introduction to Fourier series.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Fourier series representations.html
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004 Fourier series representations.mp4
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006 Periodic functions and periodic extensions.html
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007 Periodic functions and periodic extensions.mp4
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009 Representing piecewise functions.html
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010 Representing piecewise functions.mp4
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012 Convergence of a Fourier series.html
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013 Convergence of a Fourier series.mp4
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015 Fourier cosine series.html
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016 Fourier cosine series.mp4
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018 Fourier sine series.html
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019 Fourier sine series.mp4
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021 Cosine and sine series of piecewise functions.html
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022 Cosine and sine series of piecewise functions.mp4
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024 BONUS! Extra practice problems. ).html
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10 – Partial differential equations
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001 Introduction to partial differential equations.mp4
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002 RESOURCE Quiz solutions for this section.html
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003 Separation of variables.html
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004 Separation of variables.mp4
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006 Boundary value problems.html
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007 Boundary value problems.mp4
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009 The heat equation.html
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010 The heat equation.mp4
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012 Changing the temperature boundaries.html
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013 Changing the temperature boundaries.mp4
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015 Laplace’s equation.html
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016 Laplace’s equation.mp4
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018 BONUS! Extra practice problems. ).html
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11 – Final exam and wrap-up
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001 Practice final exam #1 (optional).html
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002 Practice final exam #2 (optional).html
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003 Differential Equations final exam.html
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004 Wrap-up.mp4
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