Differential Equations for Engineers: the Essentials – Example Course Plan
Date
Class
#
# of
slides
Topics
Reading
Assigned
Problems
Assigned
Problems
Reviewed
1
36
Administrative matters, course
objectives, importance of DEs to
engineers, review of math
foundations, classes of DEs
Chap 1
(14 pages)
_
3
35
1st order linear ODEs: System viewpt
First order nonlinear separable ODEs:
General solution approach;
In-class problems; Sounding rocket
phases 1 & 2
Chap 3
thru Sec
3.1
(7 pages)
From
Class #1
4
21
First order nonlinear separable ODEs:
Sounding rocket phase 3;
Short quiz #1
Chap 3,
Sec 3.2, 3.3
(5 pages)
From
Class #2
Computing project phase 1
Chap 4,
Sec 4.5, 4.6
(3 pages)
From
Class #4
7
2nd order LTI homogeneous ODEs
Chap 5
(6 pages)
From
8
Test #1
_
9
28
Review of Test #1
2nd order LTI homogeneous ODEs,
LRC circuit, complex roots,
fundamental solutions,
In-class example problems
Chap 5,
Sec 5.1.3,
5.1.4, 5.2
(5 pages)
From
Class #7
Undetermined coefficients method
LRC circuit with sine source
water pipe temperature example;
Differential Equations for Engineers: the Essentials – Example Course Plan
Satellite orbit decay
12
Review for Midterm
From
Classes
#10, 11
16
43
State space format:
Numerical methods
Review of matrix algebra
Linear systems in state space format
Chap 8
thru Sec
8.4
(11 pages)
17
20
State space format: Heat transfer
Short quiz #2
(8 pages)
Sec 8.5.1.2,
8.5.1.3
(12 pages)
Chap 8,
Sec 8.5.1.1
From class
#15
20
Test #2
_
21
37
Review of Test #2
Coordinate systems; state transition
matrix; nonhomogeneous equations,
kernel method, 2-state electrical
circuit example
Chap 8,
Sec 8.5.1.5
thru
8.5.2.1
(15 pages)
From class
#19
22
35
Nonhomogeneous equations: Laplace
transform method, trial and error
method, PDEs: IV heat equation
Chap 8,
Sec 8.5.2.2,
8.5.2.3
(6 pages)
Short quiz #3
Sec 9.1
(11 pages)
(16 pages)
PDEs: higher order Bessell functions;
13
_
homogeneous equations
7.5
(11 pages)
project
15
Chap 7,
Sec 7.6
(20 pages)
Differential Equations for Engineers: the Essentials – Example Course Plan
power series II
Sec 9.2.4
thru
9.2.6
(8 pages)
#23
26
34
PDEs: BV potential equation –
Chap 9,
From class