Become a Differential Equations Master from Udemy

) 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' 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' 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'

I can't wait for you to get started on mastering Differential Equations.

- Krista :)

What's inside

Syllabus

Getting started

What we'll learn in this course

How to get the most out of this course

Download the formula sheet

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Covers first and second order equations, which are fundamental concepts for students in physics, engineering, and other quantitative fields

Explores Laplace transforms and Fourier series, which are essential tools for advanced engineering and physics courses

Includes workbooks with extra practice problems, allowing learners to test their understanding and solidify their skills through repetition

Starts from the beginning and explains the problem setup, which may be helpful for learners who need a refresher on foundational concepts

Offers quizzes to test knowledge, allowing learners to review videos and notes again or ask for help in the Q&A section if they don't pass

Teaches Euler's method, which is a numerical method for approximating solutions to differential equations, and is useful in various applications

Reviews summary

Comprehensive guide to differential equations

According to learners, this course provides a strong foundation in differential equations, often praised for its clear explanations and extensive coverage of topics from first-order to partial differential equations and Laplace transforms. Many find the included workbooks and quizzes to be exceptionally helpful for practice, solidifying understanding through practical application. The instructor's approach is frequently described as making a potentially difficult subject accessible, guiding students step-by-step through problem-solving processes. While the subject matter itself is inherently challenging, students generally report a positive learning experience and feel well-equipped to tackle differential equations after completing the material. The course appears to be a standalone resource for achieving proficiency.

Instructor's teaching style makes topic accessible

"Krista King's teaching style is fantastic, making a difficult subject approachable and even enjoyable."

"Her enthusiasm and clear delivery kept me engaged throughout the course."

"The instructor's passion for the subject is evident and makes learning much easier."

Covers a wide array of essential DE topics

"This course covers everything from basic first order equations to Laplace transforms and series solutions."

"I was impressed by the depth and breadth of the topics covered, true to the 'Master' title."

"Provides a very comprehensive overview of differential equations, suitable for a full course."

Workbooks and quizzes reinforce learning effectively

"The extra practice problems in the workbooks were exactly what I needed to master each section."

"Quizzes after each topic helped me check my understanding before moving on."

"I really appreciated the volume and quality of practice problems provided; it made a huge difference."

Concepts are explained in an easy-to-grasp way

"The way the instructor breaks down complex topics into understandable parts is amazing."

"Her explanations are so clear, I finally understood concepts I struggled with in university."

"Provides very clear, step-by-step explanations for solving various types of equations."

Subject matter requires dedication and effort

"Differential equations are challenging, but the course provides the tools to tackle them."

"Be prepared to dedicate time to practice; the material isn't easy, but the course supports you."

"It requires significant effort and practice, but the structure helps manage the difficulty."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Become a Differential Equations Master with these activities:

Review Calculus Fundamentals

Show steps

Strengthen your understanding of calculus concepts, which are essential for solving differential equations.

Browse courses on Differential Calculus

Show steps

Review differentiation and integration rules.
Practice solving basic calculus problems.
Focus on techniques like u-substitution and integration by parts.

Review 'Differential Equations with Boundary-Value Problems'

Show steps

Supplement your learning with a widely-used textbook that provides a thorough treatment of differential equations.

View Differential Equations with Boundary-value... on Amazon

Show steps

Read the chapters corresponding to the course syllabus.
Work through the example problems in the book.
Attempt the end-of-chapter exercises for extra practice.

Solve First-Order Differential Equations

Show steps

Reinforce your understanding of first-order equations by solving a variety of practice problems.

Show steps

Find practice problems online or in textbooks.
Solve linear, separable, and Bernoulli equations.
Check your solutions against the provided answers.

Four other activities

Expand to see all activities and additional details

Show all seven activities

Create a Cheat Sheet for Laplace Transforms

Show steps

Solidify your knowledge of Laplace transforms by creating a concise reference sheet.

Show steps

List common Laplace transforms and inverse transforms.
Include important properties and theorems.
Organize the information in a clear and accessible format.

Model a Physical System with Differential Equations

Show steps

Apply your knowledge to a real-world problem by modeling a physical system using differential equations.

Show steps

Choose a system, such as a spring-mass system or an electrical circuit.
Develop a differential equation that describes the system's behavior.
Solve the equation and analyze the results.

Review 'Partial Differential Equations: An Introduction'

Show steps

Deepen your understanding of partial differential equations with a classic introductory text.

View Partial Differential Equations: An Introduction... on Amazon

Show steps

Read the chapters on the heat equation and Laplace's equation.
Study the examples and proofs presented in the book.
Attempt the exercises to test your understanding.

Tutor a Student in Differential Equations

Show steps

Reinforce your understanding by explaining concepts to someone else.

Show steps

Offer help to classmates or students in lower-level courses.
Prepare explanations and examples for common topics.
Answer questions and provide guidance.

Career center

Learners who complete Become a Differential Equations Master will develop knowledge and skills that may be useful to these careers:

Quantitative Analyst

A Quantitative Analyst, often working in the financial sector, develops and implements mathematical models for pricing derivatives, managing risk, and making trading decisions. A strong foundation in differential equations is crucial for this role. To perform as a Quantitative Analyst, the "Become a Differential Equations Master" course helps build a foundation for the advanced mathematical techniques used in quantitative finance. This course covers topics such as Laplace transforms, Fourier series, and modeling with differential equations, all of which are essential for understanding and developing sophisticated financial models. Often, a master's degree or PhD is required to become a Quantitative Analyst, and this course could be useful for building a mathematical foundation for graduate study.

See salaries and explore the career path for Quantitative Analyst

Control Systems Engineer

A Control Systems Engineer designs and implements control systems for various applications, such as robotics and automation. Differential equations are essential for modeling and analyzing dynamic systems and designing controllers to achieve desired performance. To perform as a Control Systems Engineer, the "Become a Differential Equations Master" course helps build a foundation for the mathematical tools needed to analyze and design feedback control systems. This course, with its coverage of Laplace transforms, systems of differential equations, and modeling, is useful for understanding system modeling and performance analysis. Concepts such as state space representations, transfer functions, and stability analysis all rely on the principles taught in this course, making it potentially quite useful for becoming a Control Systems Engineer.

See salaries and explore the career path for Control Systems Engineer

Electrical Engineer

An Electrical Engineer designs, develops, and tests electrical equipment and systems. Differential equations are used to model circuits, signals, and control systems. To succeed as an Electrical Engineer, this "Become a Differential Equations Master" course helps build a foundation for understanding the mathematical principles underlying electrical engineering. The course includes topics such as electrical series, Laplace transforms, and systems of differential equations, which may directly apply to circuit analysis and control system design. Given the electrical engineering applications covered, the course could be useful for a career as an Electrical Engineer.

See salaries and explore the career path for Electrical Engineer

Biomathematician

A Biomathematician uses mathematical models to study biological systems. Differential equations are extensively used to describe population dynamics, disease spread, and drug interactions. To excel as a Biomathematician, the "Become a Differential Equations Master" course helps build a foundation for understanding the mathematical underpinnings of biological processes. The course includes topics such as modeling with differential equations, including the logistic equation, exponential growth and decay, and systems of differential equations, all of which are directly applicable to biological modeling. As many Biomathematicians pursue advanced degrees (master's or PhD), this course may be useful for building a solid foundation.

See salaries and explore the career path for Biomathematician

Aerospace Engineer

An Aerospace Engineer designs, develops, and tests aircraft and spacecraft. Differential equations are crucial for modeling flight dynamics, control systems, and structural analysis in aerospace engineering. For those who wish to become an Aerospace Engineer, the "Become a Differential Equations Master" course helps build a foundation for analyzing complex systems that are governed by differential equations. The course covers topics such as modeling with differential equations and systems of differential equations, which are directly applicable to designing and controlling aerospace vehicles. Considering the broad scope of the course from first-order equations to Laplace transforms, it may be useful for those who wish to begin a career as an Aerospace Engineer.

See salaries and explore the career path for Aerospace Engineer

Mechanical Engineer

A Mechanical Engineer designs, develops, builds, and tests mechanical and thermal devices. Differential equations are fundamental to modeling and analyzing dynamic systems, heat transfer, fluid flow, and control systems. To thrive as a Mechanical Engineer, this "Become a Differential Equations Master" course helps build a foundation for understanding the behavior of systems with complex mathematical models. The course content on second-order equations and spring-mass systems is particularly relevant as it directly applies to mechanical vibrations and system dynamics. This course may be useful to those who wish to enter a career as a Mechanical Engineer.

See salaries and explore the career path for Mechanical Engineer

Robotics Engineer

A Robotics Engineer designs, builds, and programs robots for various applications. Differential equations are used to model robot dynamics, control systems, and sensor fusion algorithms. For a future Robotics Engineer, the "Become a Differential Equations Master" course helps build a foundation for the mathematical concepts required to model and control robotic systems. This course covers topics such as systems of differential equations, Laplace transforms, and modeling with differential equations that may be directly applicable to robotics. The course's broad coverage of differential equations is quite useful for those wanting to enter a career as a Robotics Engineer.

See salaries and explore the career path for Robotics Engineer

Epidemiologist

An Epidemiologist studies the patterns, causes, and effects of health and disease conditions in defined populations. Differential equations are used to model the spread of infectious diseases and evaluate the effectiveness of interventions. For an Epidemiologist, the "Become a Differential Equations Master" course helps build a foundation for understanding the mathematical models used in epidemiology. The course covers topics such as modeling with differential equations, including the logistic equation and systems of differential equations, all of which are directly applicable to modeling disease dynamics. Given the mathematical models explored, the course may be useful for those who want to become an Epidemiologist.

See salaries and explore the career path for Epidemiologist

Simulation Engineer

A Simulation Engineer develops and uses computer simulations to model and analyze complex systems. Differential equations are the backbone of many simulation models, particularly in areas such as fluid dynamics, heat transfer, and structural analysis. For those who want to become Simulation Engineers, this "Become a Differential Equations Master" course helps build a foundation for understanding the mathematics behind these simulations. The course covers topics such as partial differential equations, numerical methods (like Euler's method), and modeling with differential equations. The breadth of topics covered, from first order equations to Fourier series, may be quite useful for those who wish to begin a career as a Simulation Engineer.

See salaries and explore the career path for Simulation Engineer

Acoustical Engineer

An Acoustical Engineer designs and analyzes systems to control or manipulate sound and vibration. Differential equations are essential for modeling wave propagation, acoustic resonance, and noise control. To thrive as an Acoustical Engineer, the "Become a Differential Equations Master" course helps build a foundation for understanding the mathematical principles behind acoustic phenomena. The course covers Fourier series and partial differential equations, which are directly applicable to analyzing sound waves and designing acoustic treatments. Therefore, this course may be useful to those who wish to become Acoustical Engineers.

See salaries and explore the career path for Acoustical Engineer

Operations Research Analyst

An Operations Research Analyst uses mathematical and analytical methods to help organizations solve complex problems and make better decisions. Differential equations can be used in modeling and optimizing queuing systems, supply chains, and other operational processes. To be an effective Operations Research Analyst, the "Become a Differential Equations Master" course may help build a foundation for understanding the mathematical models used in this field. The course covers topics such as modeling with differential equations and systems of differential equations, which are useful when analyzing complex operational systems. This course may be useful for a career as an Operations Research Analyst.

See salaries and explore the career path for Operations Research Analyst

Data Scientist

A Data Scientist analyzes complex data sets to extract meaningful insights and develop predictive models. Differential equations play a vital role in understanding and modeling various complex systems, which is essential for many data science applications. This course, "Become a Differential Equations Master", may help build a foundation for understanding the mathematical principles behind many machine learning algorithms and statistical models. For example, understanding concepts like exponential growth and decay, as covered in the course, helps one understand time series analysis. Additionally, this course covers partial differential equations, which are relevant in image processing and other data-intensive tasks. Those interested in a career as a Data Scientist should consider this course.

See salaries and explore the career path for Data Scientist

Hydrologist

A Hydrologist studies the movement, distribution, and quality of water. Differential equations are used to model groundwater flow, surface water runoff, and pollutant transport. For those who wish to become Hydrologists, the "Become a Differential Equations Master" course helps build a foundation for understanding the mathematical models used in hydrology. The course covers topics such as modeling with differential equations, partial differential equations, and numerical methods like Euler's method, all of which are useful in hydrological modeling. Considering the course materials, it may be useful to those who wish to become a Hydrologist.

See salaries and explore the career path for Hydrologist

Financial Analyst

A Financial Analyst evaluates financial data, makes predictions, and provides investment recommendations. Differential equations are used in quantitative finance to model asset prices, interest rates, and other financial variables. To excel as a Financial Analyst, taking the course, "Become a Differential Equations Master," may provide one with the skills to understand and implement sophisticated financial models. This course covers modeling with differential equations, which could prove useful when looking at topics such as exponential growth and decay. Furthermore, this course may help develop a deeper understanding of the mathematical tools used to analyze financial markets making it potentially useful for a career as Financial Analyst.

See salaries and explore the career path for Financial Analyst

Software Engineer

A Software Engineer designs, develops, and tests software applications. While not always directly applicable, differential equations may be used in certain specialized areas of software engineering, such as game development (physics engines) and scientific computing. For a Software Engineer who wishes to specialize, taking the course, "Become a Differential Equations Master," may help to develop an understanding of the mathematics behind these specialized areas. The course covers numerical methods like Euler's method and modeling with differential equations. Though not always applicable, this course may be useful for those who want to be Software Engineers.

See salaries and explore the career path for Software Engineer

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Become a Differential Equations Master.

Differential Equations with Boundary-value Problems

Save

Comprehensive resource for differential equations, covering a wide range of topics relevant to the course. It provides detailed explanations, numerous examples, and practice problems. It is commonly used as a textbook in differential equations courses at many universities. This book offers additional depth and breadth to the course material.

Differential Equations with Boundary-value Problems

Paperback

Check price

Differential Equations with Boundary-value Problems

Kindle Edition

Check price

Partial Differential Equations: An Introduction,...

Save

Provides a solid introduction to partial differential equations, covering topics such as the heat equation, wave equation, and Laplace's equation. It is particularly useful for understanding the theoretical foundations of these equations. This book is more valuable as additional reading than it is as a current reference. It is commonly used as a textbook at academic institutions.

Partial Differential Equations: An Introduction,...

Kindle Edition

$$$$

Become a Differential Equations Master

Here's a deal for you

What's inside

Syllabus

Traffic lights

Save this course

Reviews summary

Comprehensive guide to differential equations

Activities

Career center

Reading list

Share

Similar courses