MATH1400 Lecture Recordings
| Week 14 | 28 Jan (live) | Lecture 1 | derivatives, terminology, a mathematical modelling example |
| Week 15 | 1 Feb (recorded) | Lecture 2.1 | general solutions, particular solutions |
| Lecture 2.2 | find ODE given general solution | ||
| 4 Feb (live) | Lecture 3 | initial and boundary conditions, separable 1st-order ODE | |
| Week 16 | 8 Feb (recorded) | Lecture 4.1 | ODE of homogeneous degree: reduction to separable |
| Lecture 4.2 | exact 1st-order ODE | ||
| 11 Feb (live) | Lecture 5 | integrating factor, linear 1st-order ODE | |
| Week 17 | 15 Feb (recorded) | Lecture 6.1 | principle of superposition |
| Lecture 6.2 | Bernoulli's equation | ||
| 18 Feb (live) | Lecture 7 | summary for 1st-order ODE, radioactivity and carbon dating | |
| Week 18 | 22 Feb (recorded) | Lecture 8.1 | Newton's law of cooling |
| Lecture 8.2 | Malthus' population model | ||
| 25 Feb (live) | Lecture 9 | logisitic model of population | |
| Week 19 | 1 Mar (recorded) | Lecture 10 | mixing problem |
| 4 Mar (live) | Lecture 11 | economics and finance | |
| Week 20 | 8 Mar (recorded) | Lecture 12 | introduction to 2nd-order ODE |
| 11 Mar (live) | Lecture 13 | general solution of 2nd-order linear ODE, reduction of order | |
| Week 21 | 15 Mar (recorded) | Lecture 14.1 | more on general solutions of 2nd-order ODE |
| Lecture 14.2 | homogeneous, const-coeff linear 2nd-order ODE (theory) | ||
| 18 Mar (live) | Lecture 15 | homogeneous, const-coeff linear 2nd-order ODE (examples), method of undetermined coefficients for inhomogeneous ODE (introduction) | |
| Week 22 | 22 Mar (recorded) | Lecture 16.1 | method of undetermined coefficients (theory) |
| Lecture 16.2 | method of undetermined coefficients (examples) | ||
| 25 Mar (live) | Lecture 17 | simple harmonic oscillation, damped harmonic oscillation | |
| Extra | 20 Apr (recorded) | Lecture 18.1 | Forced harmonic oscillation |
| Lecture 18.2 | Resonance | ||
| Lecture 18.3 | RLC cirucit | ||
| Week 23 | 26 Apr (recorded) | Lecture 19.1 | 2-dimensional systems of 1st-order ODEs |
| Lecture 19.2 | 2nd-order ODE --> 2d-system of 1st-order ODEs | ||
| 29 Apr (live) | Lecture 20 | phase plane, fixed points | |
| Week 24 | 4 May (recorded) | Lecture 21.1 | classification of fixed points |
| Lecture 21.2 | examples: saddle and centre | ||
| 6 May (live) | Lecture 22 | pendulum |