Daily Log and Materials
Daily topics and PDFs (handouts and worksheets) will appear here as they occur. You do not have to turn-in any handout or worksheet!
- Monday 12 January Definitions and terminology
(Section 1.1) - Wednesday 14 January Initial value problems
(Section 1.2) - Friday 16 January Differential equations as mathematical models
(Section 1.3) - Wednesday 21 January Quiz 1, Solution curves
(Section 2.1.1)
WolframAlpha can plot direction fields - Friday 5 September Solution curves cont.
(Section 2.1.2) - Monday 26 January Separable DE
(Section 2.2)
worksheet (integrals) - Wednesday 28 September Linear first order DE
(Section 2.3) - Friday 30 January Exact equations
(Section 2.4)
worksheet - Monday 2 February Euler's method
(Section 2.6) - Wednesday 4 February Quiz 2
- Friday 6 February Linear models
(Section 3.1) - Monday 9 February Non-linear models
(Section 3.2)
Code for Problem 3.2.4 (.py)
and Matlab/Octave version - Wednesday 11 February Two gravity models
(Section 3.2) - Friday 13 February Higher order linear DE
(Section 4.1) - Monday 16 February Reduction of order
(Section 4.2) - Wednesday 18 February Quiz 3
- Friday 3 February Homogeneous linear DE with constant coefficients
(Section 4.3)
A good video on Euler's formula by 3Blue1Brown - Monday 23 February Higher order DEs
(Section 4.3)
worksheet - Wednesday 25 February Non-homogenous linear DEs. Undetermined coefficients
(Section 4.4) - Friday 27 February Non-homogenous linear DEs. Variation of parameters
(Section 4.6) - Monday 2 March Non-homogenous linear DEs
(Section 4.4, 4.6)
worksheet - Wednesday 4 March Midterm exam review
review guide - Friday 6 March Midterm exam
- Monday 16 March Higher order linear models
(Section 5.1.1)
3Blue1Brown on mass/spring problems. Do not focus on the Laplace transform, we will discuss it later in the course. Instead focus on visualisation. - Wednesday 18 March Higher order linear models
(Section 5.1) - Friday 20 March Higher order linear models
(Section 5.1) - Monday 23 March Higher order non-linear models
(Section 5.3)
Codes from slides - Wednesday 25 March Quiz 4, Laplace transform
(Section 7.1)
3Blue1Brown on Laplace transform - Friday 27 March Laplace transform
(Section 7.1) - Monday 30 March Inverse Laplace transform
(Section 7.2) - Wednesday 1 April Laplace transform of derivatives
(Section 7.2) - Friday 3 April Operational properties of Laplace transform
(Section 7.3)