Utkast
MATH1052-edX
Applets for the edX version of MATH1052 Multivariate Calculus and ODEs from UQ
Innehåll
Chapter 1
- Sketch solution curves with slope fields
- Slope fields: Problem 1
- Slope fields: Problem 2
- Slope field and stable/unstable solutions
- Stable/Unstable equilibrium solutions
- Long term behaviour 1
- Long term behaviour 2
- Euler's method: General exploration
- Exploring errors in Euler's method
- ODEs: Linear or Non-linear?
- Logistic model
- The undamped spring
- Underdamping
- Critical damping
- Overdamping
- A simple undamped pendulum simulation
- Damped pendulum simulation
- Kinetic and Potential energy: Ball in free fall
- Conservation of energy: Undamped Spring
Chapter 2
Chapter 3
Chapter 5