Learn concepts and solution methods for differential equations. Covers first- and second-order equations, their applications and solving systems of equations. Includes video lessons, interactive notebooks, exercises and quizzes for self-assessment.
Summary
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.
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
Summary
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.
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
