This course introduces students to series solutions of ordinary differential equations, focusing on techniques for solving equations that cannot be solved by elementary methods. It covers Euler equations, indicial equations, boundary value problems, and Sturm-Liouville problems. Students will learn to determine the radius of convergence, identify ordinary and singular points, and apply Fourier series. The course emphasizes practical problem-solving and prepares students for advanced topics in differential equations.
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Everything you need to know about this course
Key areas covered in this course
Knowledge and skills recommended for success
MTH202: Elementary Differential Equations I
MTH201: Calculus III
💡 Don't have all requirements? Don't worry! Many students successfully complete this course with basic preparation and dedication.
How your progress will be evaluated (3 methods)
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Comprehensive evaluation of course material understanding
Explore the career paths this course opens up for you
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Apply your skills in this growing field
Real-world sectors where you can apply your knowledge
Expert tips to help you succeed in this course
Review all definitions and theorems related to series solutions and convergence.
Practice solving a variety of Euler equations and indicial equations.
Focus on understanding the different cases of indicial roots and their corresponding solutions.
Work through numerous examples of boundary value problems and Sturm-Liouville problems.
Practice applying Fourier series to represent different types of functions.
Create concept maps linking different types of differential equations and their solution methods.
Allocate sufficient time to review and practice past examination papers.
Form study groups to discuss challenging concepts and problem-solving strategies.