Introduction to Differential Equations
- Interactive Course
- 12 h
- Intermediate
- 2 Certifications
A comprehensive introduction to fundamental concepts and solution methods for differential equations, including video lessons and interactive notebooks. Follow along with the examples in the Wolfram Cloud and use the material to prepare for courses in natural science, engineering, economics and other fields. The course starts with a discussion of direction fields and methods for solving first-order differential equations, followed by the study of second-order equations and their applications, and then moves on to solving systems of differential equations. Problem sessions, exercises and quizzes are provided for self-paced assessment. Earn a certificate by watching all lesson and problem session videos and completing the quizzes with a passing grade. Level I certification in differential equations is awarded to those who meet the completion requirements and also pass the course final exam. Wolfram AI Course Assistant is available for this interactive course.
Course Overview
Requirements: This course requires no prior knowledge of Mathematica or the Wolfram Language. Prerequisites for differential equations include calculus and linear algebra.
Featured Products & Technologies: Wolfram Language (available in Mathematica and Wolfram|One)
You'll Learn To
- Visualize direction fields in the plane
- Compute series solutions of differential equations
- Solve linear systems with constant coefficients
- Find exact solutions of differential equations
- Use Laplace transforms for solving initial value problems
- Apply differential equations to real-world problems
Video Duration
- Section 171 minutes
- Section 258 minutes
- Section 368 minutes
- Section 464 minutes
- Section 586 minutes
- Section 657 minutes
- Section 753 minutes
- Section 885 minutes
New! Wolfram AI Course Assistant
This interactive course includes video lessons, quizzes, practice problems, a final exam and our new chat-based Course Assistant powered by Wolfram LLM Kit. Ask Course Assistant anything about the lesson, and it will provide you with contextually aware answers and even relevant code. Get started with our free courses by signing in to the Wolfram Cloud with your Wolfram ID—or create one; it's free! Our recommended best practice for completing this interactive course is to start with Lesson 1 and progress through the video lessons, taking each quiz in the order it appears in the table of contents. You can click Track My Progress to chart your certification progress as you go. Wolfram AI Course Assistant is included with a Wolfram Notebook Assistant + LLM Kit subscription.
Certifications Available
Completion Certificate
Certify your completion of this course by watching course videos and passing the auto-graded quizzes.
Track My Progress
Level 1 Certification
Pass the auto-graded quizzes and final exam to certify your proficiency in differential equations.
Track My Progress
