- Solving the $\theta$ equations using a Series Solution Method (Lecture, 90 minutes)
- Guessing the Legendre Polynomial Expansion of a Function (Optional Maple Activity, 10-15 minutes)
- Legendre Series (Lecture, 20 minutes)
- Legendre Polynomial Series Coefficients (Maple Activity, 10-15 minutes)
Table of Contents
PH 426 (Central Forces) Math Bits
Unit: ODEs
Power Series Solutions
- Reading/Lecture:
Series Solutions (Lecture: 25 min)
- Series Derivative (SWBQ: 5 min)
- Series Solutions (SGA ) 20 min
Changes of Variable
- Change the Independent Variable (SWBQ: 15 min) (This was kind of more like a SGA.)
- Change the Dependent Variable (SWBQ: 10 min) (We skipped this in 2017 for time.)
- Reading/Lecture: QMSHO (Lecture: 25 min)
- A Hermite Polynomial (SGA) 20 min