Become a Differential Equations Master
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
Requirements
- 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
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 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 :)
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.
Instructor
- 4.7 Instructor Rating
- 72,923 Reviews
- 289,693 Students
- 20 Courses
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.