Math 302 Schedule (subject to change)


Date

Sections
Lecture Slides
Notes
Homework
Other readings or software

8/25(R)

1.1, 1.2
Lecture 1
Lecture 1
1.1(1,2,4,5,6,7,11,12,17,18)

Differential Equations
Newton's law of gravitation
Thomas Malthus
An essay on the principle of population
Logistic function
8/30(T)
1.2, 1.3
Lecture 2
Lecture 2
1.2(6,8,9,12,13,17,27,31,33,39,41)
1.3(3,5,7,8,12,14,15,21,22)

https://www.desmos.com/
http://slopefield.nathangrigg.net/

9/1(R)

1.4, 1.5
Lecture3 Lecture 3
1.4(1,2,5,6,11)1.5(11,12,13,16,17)
Matlab programs: dfield8b.m
Euler method Euler method(logistic)
Slope field Slope field(logistic)

9/6(T)

1.6
Lecture4 Lecture 4
1.6(2,6,8,14,18,20,29,31,33,35,39)
Theory, models and biology (an article)

9/8(R)

1.7 Quiz 1
Lecture5 Lecture 5
1.7(1,3,11,15,19) Phase line

9/13(T)

1.7, 1.8
Lecture6 Lecture 6
1.8(1,3,7,13,18,21,29,31, quiz 1 makeup Wolfram Alpha

9/15(R)

1.9
Lecture7 Lecture 7
1.9(1,4,9,10,15,21,25,27)

9/20(T)

2.1, 2.2
Lecture8
Lecture 8 2.1(2,3,4,7a,9,16a,20,22)2.2(8,9,11,12,13,21)
Matlab program pplane
pplane plotter OST plotter

9/22(R)

2.3, 2.4, 2.7 Quiz 2
Lecture9 Lecture 9 2.4(5,7,9)
optional: 2.3(1,7,8)2.7(1,7)
Matlab programs: predator-prey (cycle)
predator-prey (with carrying capacity) SIR






9/27(T)

3.1,3.2
Lecture10 Lecture 10 3.1(5,9,17,25,27), 3.2(1,3,7,11,17)

9/29(R)

3.3
Lecture11 Lecture 11 3.3(1,3,5,9,19,23,27), quiz 2 makeup

10/4(T)
Exam 1


practice test 1

10/6(R)

3.4
Lecture12 Lecture 12 3.4(1,5,7,11,13,15,24)
math major

10/11(T)

Fall break





Date
Sections
Lecture Slides
Notes
Homework
Other readings or software

10/13(R)

3.5
Lecture13
Lecture 13
3.5(1,3,5,7,17,19,21a)
Test 1 makeup problems
MIT linear phase plane

10/18(T)

3.7
Lecture14
EXTREEMS-QED
Lecture 14
3.7(2,6,11)
Mass-spring simulation

10/20(R)

3.6, 4.1
Lecture15 Lecture 15
3.6(3,9,11,15,17,23,25,35,38,39)
4.1(1,5,7,11,15,19,23,25,33,39)
MIT forced damped vibrations
Amplitude and Phase: Second Order I
Amplitude and Phase: Second Order II

10/25(T)

4.2
Lecture16 Lecture 16
4.2 (1,5,11,15,17,19)
4.3(1,5,7,9,13,15,17,21,23)
Matlab program beats1 beats2 resonance
Beats

10/27(R)

4.3, Quiz 3
Lecture17
Lecture 17 quiz 3 makeup
Harmonic Frequency Response: Variable Natural Frequency
Harmonic Frequency Response: Variable Input Frequency

11/1(T)

5.1, 5.2
Lecture18
Lecture 18 5.1(3,7,11,15,18,22,25)

11/3(R)

5.2
Lecture19
Lecture 19 5.2(1,5,9,13,19)
Competitive exclusion

11/8(T)

5.3, 5.4
Lecture20
more ODEs
Lecture 20 practice test 2
Rosenzweig-MacArthur model

11/10(R)

periodic orbits
Lecture 19a
Lecture 19a
5.3 (1,3,9,11,13) 5.4(1,3,5,7) Pendulum simulation
Trapping zone

11/15(T)

Exam 2


Test 2 makeup problems
new solution to 3-body problem
N-body choreographies more

11/17(R)

6.1, 6.2
Lecture21 Lecture 21 6.1 (3,9,13,15,19,23)

11/22(T)

6.2
Lecture22 Lecture 22 6.2 (1,5,9,11,15)

11/24(R)
Thanksgiving




11/29(T)

6.3, Quiz 4
Lecture23 Lecture 23 6.3 (3,7,11,13,15,17,23,25,29,31,33)
Impulse Response: Natural Frequency
Impulse Response: Spring System

12/1(R)

6.4
Lecture24 Lecture 24
6.4 (3,5)
Final exam Fall 2003 Fall 2004
Matlab program
 3 4 5 6 7

12/9(F)




Final Exam 2pm-5pm