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Jörn Loviscach
and
Miriam Swords Kalk
Sign up for Udacity's free Differential Equations in Action course and hone your problem-solving skills through using differential equations. Learn online with Udacity.
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What's inside
Syllabus
Lesson 1 - Houston We Have a Problem
Problem Set 1
Lesson 2 - Houston We Have a Solution
Problem Set 2
Read more
Syllabus
Lesson 1 - Houston We Have a Problem
Problem Set 1
Lesson 2 - Houston We Have a Solution
Problem Set 2
Read more
Lesson 3 - Contagion
Problem Set 3
Lesson 4 - Responsible Fishing
Problem Set 4
Lesson4s - Supplement on Euler's Number
Lesson 5 - Antilock Braking Systems
Problem Set 5
Lesson 6 - Wildfire
Problem Set 6
Lesson 7 - Advanced Applications of Numerical Methods
Course Assessment
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Teaches creative approaches to differential equations
Through problem solving, increases skills in differential equations
Is beginner friendly
Forms a strong foundation for intermediate students
Covers a comprehensive study of differential equations
Save this course
Save Differential Equations in Action to your list so you can find it easily later:
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Reviews summary
Challenging and engaging course
This course is a great resource for anyone who wants to learn more about differential equations and how to solve them using Python. The course is well-structured and the content is presented in a clear and engaging way. The instructor is knowledgeable and passionate about the subject, and he does a great job of making the material accessible to students of all levels. Overall, this is a great course that I would highly recommend to anyone who is interested in learning more about differential equations.
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 Differential Equations in Action with these
activities:
Refresh differential equation problem solving skills
Show steps
Review and practice problem solving techniques in differential equations to improve background knowledge and prepare for the course.
Browse courses on
Differential Equations
Show steps
-
Identify differential equation types and solution methods
-
Practice solving first order differential equations
-
Practice solving second order differential equations
-
Analyze differential equations for stability and behavior
Read 'Differential Equations Made Simple' by G.F. Simmons
Show steps
Review a foundational text in differential equations to build a stronger understanding of the basics and supplement course instruction.
Show steps
-
Read selected chapters or sections relevant to the course
-
Take notes and highlight important concepts
-
Complete practice problems to reinforce understanding
Explore online resources for differential equations
Show steps
Locate and utilize online tutorials and videos to supplement course instruction and gain a deeper understanding of differential equations.
Show steps
-
Search for reputable online sources
-
Watch videos on differential equation concepts
-
Read articles and tutorials on specific topics
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve differential equation practice problems
Show steps
Engage in targeted practice to reinforce problem-solving skills and improve understanding of differential equation techniques.
Show steps
-
Find practice problems online or in textbooks
-
Solve problems independently or with a study group
-
Check solutions and identify areas for improvement
Join a study group or discussion forum for differential equations
Show steps
Collaborate with peers to exchange ideas, ask questions, and deepen understanding of differential equations.
Show steps
-
Find or create a study group or online forum
-
Participate in discussions and ask questions
-
Collaborate on problem-solving or project ideas
Create a concept map or infographic on differential equations
Show steps
Develop a visual representation of differential equations to enhance understanding and recall of key concepts and their interrelationships.
Show steps
-
Identify key concepts and relationships in differential equations
-
Choose a visual format (e.g., concept map, infographic)
-
Create a draft and iterate based on feedback
Develop a mathematical model using differential equations to address a real-world problem
Show steps
Apply differential equations to solve a practical problem, fostering a deeper understanding of their relevance and applications.
Show steps
-
Identify a real-world problem that can be modeled with differential equations
-
Develop the mathematical model and solve the differential equations
-
Analyze the results and draw conclusions
-
Present the project findings
Contribute to an open-source project related to differential equations
Show steps
Engage in real-world applications and refine skills by contributing to open-source projects in the field of differential equations.
Show steps
-
Identify an open-source project relevant to differential equations
-
Review the project documentation and codebase
-
Make contributions such as bug fixes or feature enhancements
-
Collaborate with other contributors and learn from their expertise
Refresh differential equation problem solving skills
Show steps
Review and practice problem solving techniques in differential equations to improve background knowledge and prepare for the course.
Browse courses on
Differential Equations
Show steps
Show steps
Show steps
- Identify differential equation types and solution methods
- Practice solving first order differential equations
- Practice solving second order differential equations
- Analyze differential equations for stability and behavior
Read 'Differential Equations Made Simple' by G.F. Simmons
Show steps
Review a foundational text in differential equations to build a stronger understanding of the basics and supplement course instruction.
Show steps
Show steps
Show steps
- Read selected chapters or sections relevant to the course
- Take notes and highlight important concepts
- Complete practice problems to reinforce understanding
Explore online resources for differential equations
Show steps
Locate and utilize online tutorials and videos to supplement course instruction and gain a deeper understanding of differential equations.
Show steps
Show steps
Show steps
- Search for reputable online sources
- Watch videos on differential equation concepts
- Read articles and tutorials on specific topics
Five other activities
Expand to see all activities and additional details
Show all eight activities
Solve differential equation practice problems
Show steps
Engage in targeted practice to reinforce problem-solving skills and improve understanding of differential equation techniques.
Show steps
Show steps
Show steps
- Find practice problems online or in textbooks
- Solve problems independently or with a study group
- Check solutions and identify areas for improvement
Join a study group or discussion forum for differential equations
Show steps
Collaborate with peers to exchange ideas, ask questions, and deepen understanding of differential equations.
Show steps
Show steps
Show steps
- Find or create a study group or online forum
- Participate in discussions and ask questions
- Collaborate on problem-solving or project ideas
Create a concept map or infographic on differential equations
Show steps
Develop a visual representation of differential equations to enhance understanding and recall of key concepts and their interrelationships.
Show steps
Show steps
Show steps
- Identify key concepts and relationships in differential equations
- Choose a visual format (e.g., concept map, infographic)
- Create a draft and iterate based on feedback
Develop a mathematical model using differential equations to address a real-world problem
Show steps
Apply differential equations to solve a practical problem, fostering a deeper understanding of their relevance and applications.
Show steps
Show steps
Show steps
- Identify a real-world problem that can be modeled with differential equations
- Develop the mathematical model and solve the differential equations
- Analyze the results and draw conclusions
- Present the project findings
Contribute to an open-source project related to differential equations
Show steps
Engage in real-world applications and refine skills by contributing to open-source projects in the field of differential equations.
Show steps
Show steps
Show steps
- Identify an open-source project relevant to differential equations
- Review the project documentation and codebase
- Make contributions such as bug fixes or feature enhancements
- Collaborate with other contributors and learn from their expertise
Career center
Learners who complete Differential Equations in Action will develop knowledge and skills
that may be useful to these careers:
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and analytical methods to solve business problems. They develop models to simulate systems and processes, and use these models to identify and recommend solutions to improve efficiency and performance. Differential Equations in Action can help Operations Research Analysts understand how systems behave over time and how to develop models that accurately represent real-world systems.
Systems Analyst
Systems Analyst
Systems Analysts develop and maintain computer systems to meet the needs of their organizations. They analyze user needs, design and implement systems, and test and debug systems to ensure they meet requirements. Differential Equations in Action can help Systems Analysts understand how systems behave over time and how to design systems that are robust and efficient.
Financial Analyst
Financial Analyst
Financial Analysts use financial data to make investment recommendations. They analyze financial statements, develop financial models, and forecast future financial performance. Differential Equations in Action can help Financial Analysts understand how financial markets behave over time and how to develop models that can predict future financial trends.
Actuary
Actuary
Actuaries use mathematical and statistical methods to assess risk and uncertainty. They develop models to predict the likelihood and cost of future events, and use these models to help businesses and individuals make informed decisions about risk management. Differential Equations in Action can help Actuaries understand how risk and uncertainty change over time and how to develop models that can predict future events.
Data Scientist
Data Scientist
Data Scientists use data to solve business problems. They collect, clean, and analyze data to identify patterns and trends, and use these insights to make recommendations for improving business decisions. Differential Equations in Action can help Data Scientists understand how data changes over time and how to develop models that can predict future trends.
Chemical Engineer
Chemical Engineer
Chemical Engineers design, develop, and maintain chemical processes. They analyze user needs, design and implement chemical solutions, and test and debug systems to ensure they meet requirements. Differential Equations in Action can help Chemical Engineers understand how chemical processes behave over time and how to design systems that are robust and efficient.
Civil Engineer
Civil Engineer
Civil Engineers design, develop, and maintain civil infrastructure. They analyze user needs, design and implement civil solutions, and test and debug systems to ensure they meet requirements. Differential Equations in Action can help Civil Engineers understand how civil infrastructure behaves over time and how to design systems that are robust and efficient.
Electrical Engineer
Electrical Engineer
Electrical Engineers design, develop, and maintain electrical systems. They analyze user needs, design and implement electrical solutions, and test and debug systems to ensure they meet requirements. Differential Equations in Action can help Electrical Engineers understand how electrical systems behave over time and how to design systems that are robust and efficient.
Astronomer
Astronomer
Astronomers study the universe and its contents. They use telescopes and other instruments to collect data about stars, planets, galaxies, and other celestial objects, and use this data to develop theories about the origin and evolution of the universe. Differential Equations in Action can help Astronomers understand how celestial objects move and evolve over time and how to develop models that can predict future behavior.
Physicist
Physicist
Physicists study the fundamental laws of nature. They develop theories and models to explain the behavior of matter and energy, and use these theories and models to make predictions about the universe. Differential Equations in Action can help Physicists understand how physical systems behave over time and how to develop models that can predict future behavior.
Statistician
Statistician
Statisticians collect, analyze, and interpret data to provide insights into a wide variety of topics. They use statistical methods to design experiments, analyze data, and draw conclusions about the world around us. Differential Equations in Action can help Statisticians understand how data changes over time and how to develop models that can predict future trends.
Software Engineer
Software Engineer
Software Engineers design, develop, and maintain software systems. They analyze user needs, design and implement software solutions, and test and debug software to ensure it meets requirements. Differential Equations in Action can help Software Engineers understand how software systems behave over time and how to design systems that are robust and efficient.
Mathematician
Mathematician
Mathematicians develop and study mathematical theories and concepts. They use mathematical tools to solve problems in a wide variety of fields, including science, engineering, and business. Differential Equations in Action can help Mathematicians understand how mathematical systems behave over time and how to develop models that can predict future behavior.
Mechanical Engineer
Mechanical Engineer
Mechanical Engineers design, develop, and maintain mechanical systems. They analyze user needs, design and implement mechanical solutions, and test and debug systems to ensure they meet requirements. Differential Equations in Action can help Mechanical Engineers understand how mechanical systems behave over time and how to design systems that are robust and efficient.
Teacher
Teacher
Teachers educate students in a variety of subjects. They develop lesson plans, teach classes, and assess student learning. Differential Equations in Action may be useful for Teachers who teach mathematics or science, as it can help them understand how mathematical and scientific concepts change over time.
For more career information including salaries, visit:
OpenCourser.com/course/eub3f6/udacity
Reading list
We've selected 17 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
Differential Equations in Action.
This textbook classic in the field of differential equations. It provides a thorough treatment of both ordinary and partial differential equations, and it is widely used as a textbook in undergraduate and graduate courses.
Classic textbook for differential equations. It covers a wide range of topics, including first-order equations, linear equations, and systems of equations. It good reference for students who want to learn more about the subject.
A comprehensive textbook on partial differential equations. Provides a comprehensive treatment of the subject, including both theory and applications.
Provides a comprehensive treatment of differential equations from a modern perspective. Covers a wide range of topics, including ordinary differential equations, partial differential equations, and numerical methods.
An introductory textbook for differential equations. Provides a comprehensive overview of the subject, including both theory and applications.
A classic textbook on ordinary differential equations. Provides a comprehensive treatment of the subject, including both theory and applications.
Popular textbook for differential equations. It is written in a clear and concise style, and it covers a wide range of topics. It good choice for students who are new to the subject.
Another classic textbook on differential equations. Provides a clear and concise introduction to the subject, with a focus on problem-solving.
Provides a comprehensive treatment of differential equations with boundary-value problems. Covers a wide range of topics, including ordinary differential equations, partial differential equations, and numerical methods.
This textbook classic in the field of ordinary differential equations. It provides a rigorous treatment of the subject, and it is widely used as a textbook in undergraduate and graduate courses.
Save
Provides an introduction to differential equations and dynamical systems. Covers a wide range of topics, including the theory of differential equations, the qualitative theory of dynamical systems, and applications to a variety of fields.
Provides a more applied perspective on differential equations. Includes numerous examples and applications from various fields, such as engineering, physics, and biology.
Introduces differential equations from a modeling perspective. Provides a solid foundation in the theory and applications of differential equations, with a focus on modeling real-world systems.
This textbook comprehensive introduction to partial differential equations. It covers a wide range of topics, from the basics of PDEs to more advanced topics such as Sobolev spaces and elliptic regularity.
Provides an introduction to dynamical systems and differential equations. Covers a wide range of topics, including the theory of dynamical systems, the qualitative theory of differential equations, and applications to a variety of fields.
Provides an introduction to the theory and applications of partial differential equations. Covers a wide range of topics, including first-order equations, second-order equations, and systems of equations.
Provides an introduction to the numerical methods used to solve partial differential equations. Covers a wide range of methods, including finite difference methods, finite element methods, and spectral methods.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/eub3f6/udacity
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Via
Udacity
Instructors
Jörn Loviscach
Miriam Swords Kalk
Language
English
Good to know
Teaches creative approaches to differential equations
Through problem solving, increases skills in differential equations
Is beginner friendly
Forms a strong foundation for intermediate students
Covers a comprehensive study of differential equations
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