Schedule
This schedule may change as time and my assessment of student needs necessitate. Also, there may be
overlaps between lectures. (Note: Test One follows Lecture 10 and covers ALL the material listed in
Lectures 1-9.)
Abbreviations: In the readings, EP refers to the text. SN refers to the Prof. Miller’s “Supplemental
Notes”. Notes refers to Prof. Mattuck’s “Notes and Exercises”. R with a number refers to the OCW
Recitation with that number.
Lecture
Topics
Readings
1
Modeling, Natural Growth,
Separable Equations
SN 1; EP 1.1, 1.4
2
3
Continuations of L1
Direction Fields, Existence and
Uniqueness
4
5
Graphical Understanding
Linear Equations (Models)
6
7
Linear Equations (Solutions)
Review and Complex Numbers
R1
G.1 (first part
only);
EP 1.2 and 1.3
R2
SN 2; R3 (but not 1
or 2)
EP 1.5
EP 1.5 SN 3 R4
SN 5-6; C.1-.3; R5
1,2
8
9
Complex Numbers
Complex Exponentials;
Sinusoidal Functions
Linear system response to
exponential and sinusoidal
input; gain, phase lag
10
SN 4; C.4, IR.6; R5
3-5
SN 4; IR.6
(TEST TWO SCHEDULE IS ON THE NEXT PAGE.)
Problems to be done but
NOT turned in
Notes 1A-5c; EP 1.1:
32,33,35; EP 1.4: 39, 66;
EP 1.5: 1, 9, 20.
Notes 1C-1abe
Date
8/30
9/1
9/2
9/6
9/8
EP 1.5: 33, 45, 1,2, 5
Notes 2E-1,2,7
Notes 2E-9, 10 (Also, 6(b) in
OCW Part I.)
Note 2E-15 (Also, 7(b) in
OCW Part I.)
9/9
9/12
9/13
9/15
9/16
Test Two Schedule
(The lecture dates could be off, but everything else is in the order I cover the material with minor
exceptions.)
Lecture
Topics
Readings
1
Autonomous Equations
EP 1.7, 7.1
2
2nd Order Eqns.; models;
characteristic polynomial
3
Homogeneous Constant
Coefficient Linear Eqns.;
Interpretation of Roots
Continuation of above
Forced Linear Eqns.; Gain;
Exponential Response
Formula
Continuation
Complex Gain
EP 2.1-3 (except for
material on Wronskian
and Polynomial
Operators.); SN 9.1
EP 2.3-4
4
5
6
7
8-9
10-11
Continued
Operators, undetermined
coefficients
12-13
Variation of Parameters,
Time Invariance
TEST THREE SCHEDULE ON NEXT PAGE
R8
SN 7; O.1; EP2.6 (162164)
R9
EP 2.6 (167-9); SN 14.2,
O.1,.2 and .4
R10 (1-3)
EP 2.5 (148-157), 2.7,
SN 10,11
R10 (4-5), R11
Problems to be done but
NOT turned in
Notes 1E-1; OCW Set Three
9a,b
EP 2.1: 43,44,47,52
Date
Notes 2C-1cde, 2G-1;
EP 2.3: 5,21,23,52
9/26
Notes 2-F6bcd; OCW Prob.
Set 4, Part II, 13
OCW Prob. Set 4, Part II, 14
Notes 2-C8cd; EP 2.5:
2,8,11,14; OCW Prob. Set 4,
Part II, 13-15
Prob. Set 4, 16
9/22
9/23
9/27
9/30
10/3
10/4
10/6
10/7
And
10/10
10/11
and
10/13
Test Three Schedule
Lecture
1
2
Date Topic
10/20 Fourier Series
10/21 Operations on
Fourier Series
Reading
EP 8.1; SN 16; R13
EP 8.2-3; R14
3
10/24 Periodic Solutions
and Resonance
10/25 Continued
10/27 Step and Delta
Functions
10/28 Step Response and
Impulse Response
EP 8.3-4
4
5
6
7
8
9
10
11
12
13
14
10/31
11/1
11/3
11/4
10/7
Continued
Convolution
Continued
Laplace Transform
Application of
Laplace Transform
to ODE’s
11/10 Continuation
11/11 Second Order
Equations
11/14 Continuation
Problems (NOT turned in)
Notes 7A-1,7A-2
7A-2a(writing the functions in terms
of sq(t).) 7A-2b by integrating the
Fourier series of the derivative
R15
SN 17
Notes 7C-1, 7C-2
SN 18; Notes IR; R16
Find the unit impulse and unit step
response for 𝐷 + 𝑘𝐼 and for 𝐷 2 +
𝜔2 𝐼.
SN 18
R17
EP 4.1
EP 4.2-3, SN 20; Notes
H; R18
EP 4.5-6; SN 20; R19
OCW Set 7: Part I, number 26
OCW Set 7: Part I, number 27
EP 4.3: 7,8,12,13,28,36
Test Four Schedule: (IMPORTANT NOTICE: SOME OF TEST FOUR WILL
COME FROM LAST FEW LECTURES IN THE TEST THREE SCHEDULE.
THOSE ARE L16-L23 AND L1-L4 FROM MY NOTES ONLINE. READ R18
AND R19 TO PRACTICE THIS MATERIAL!)
Lecture
1
Date
11/28
Topic
Linear System;
Matrices;
Eigenvalues and
Eigenvectors
Continued
2
11/29
3
12/1
Complex and
Repeated
Eigenvalues
4
5
12/2
12/5
6
7
8
12/6
12/8
12/9
Phase Plane
Normal Modes and
the Matrix Exp
Nonlinear Systems
Autonomous Systems
Limit Cycles and
Chaos
Readings
R21; EP 5.1, 5.3 (347-354)
LS.1-.2;
Problems (Not Due)
32 and 33 from OCW Problem
Set 8 (second half)
R22; EP 5.4 (BUT the LS
material is better)
LS.3; EP 5.4 (BUT the LS
material is better)
Same
R23; SN 26
R24; LS.6; EP 5.7 (BUT the
LS material is better)
EP 7.2-3; LS.6
EP 7.4-5; GS
Notes 4D-2; EP 5.6 number 1
(If you want, use mathlet:
Liner Phase Portraits: Matrix
Entry)
Notes 5B-4
EP 5.7: 1,3
NOT ON TEST
NOT ON TEST
NOT ON TEST